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Monday, November 30, 2009
Sunday, November 29, 2009
Celebrities from different countries
Celebrities From COLOMBIA
Catalina Sandino Moreno
Eileen Roca
Fabian Sanchez
Juan Pablo Angel
Juan Pablo Montoya
Katherine Medina
Lianna Grethel
Maria Jose Torrenegra
Paola Turbay
Paula Garces
Shakira
Sofia Vergara
Sonia Uribe
Taliana Vargas
Celebrities From ICELAND
Alexandra Ivarsdottir
Anita Briem
Berglind Icey
Bjork
Unnur Birna
Celebrities From HONG KONG
Edison Chen
Francine Dee
Isabella Leong
Jackie Chan
Ka Yi Cheung
Skye Chan
Stephanie Jacobsen
Celebrities From GREECE
Aikaterini Evangelinou
Angeliki Kalaitzi
Daniela Amavia
Doukissa Nomikou
Elena Paparizou
Paris Latsis
Yanni
Celebrities From GERMANY
Angelina Glass
Anne Katrin Walter
Cascada
Claudia Schiffer
Cosma Shiva Hagen
Diane Kruger
Dirk Nowitzki
Eva Padberg
Franka Potente
Franziska Van Almsick
Gina Lisa Lohfink
Heidi Klum
Janice Behrendt
Katarina Witt
Kristin Lehmann
Lena Gercke
Lukas Podolski
Madina Taher
Martina Gedeck
Michael Ballack
Miroslav Klose
Nadja Auermann
Natalie Horler
Oxana Chusovitina
Pascal Hens
Sabine Ehrenfeld
Tatjana Patitz
Thomas Kretschmann
Xenia Seeberg
Yvonne Catterfeld
Celebrities From GEORGIA
Ana Giorgelashvili
Gvantsa Daraselia
Katie Melua
Khatuna Skhirtladze
Tamar Nemsitsveridze
Celebrities From AFGHANISTAN
Robina Muqimyar
Celebrities From ALBANIA
Egla Harxhi
Elda Dushi
Masiela Lusha
Matilda Mcini
Sadina Alla
Tony Dovolani
Celebrities From ANDORRA
Merche Romero
Celebrities From ANGOLA
Brigith dos Santos
Lesly Pereira
Micaela Reis
Celebrities From ANTIGUA AND BARBUDA
Athina James
Stephanie Winter
Celebrities From ARGENTINA
Agustina Quinteros
Belen Francese
Carolina Ardohain
Cecilia Bonelli
Dalma Maradona
Daniela Stucan
Ines Rivero
Javier Mascherano
Jessica Cirio
Keyra Agustina
Lionel Messi
Maria Silvana Belli
Mia Maestro
Noelia Alejandra Bernal
Pamela David
Rocio Guirao Diaz
Sabrina Rojas
Sonya Walger
Yamila Diaz
Yesica Toscanini
Celebrities From ARUBA
Boyoura Martijn
Carolina Raven
Christina Trejo
Tracey Nicolaas
Celebrities From AUSTRALIA
Abbie Cornish
Alex O'Loughlin
Amy Taylor
Andrew Bogut
Anna Rawson
Anna Torv
Bec Cartwright
Brooke Anderson
Cariba Heine
Carlie Butler
Caroline Pemberton
Cate Blanchett
Cate Campbell
Claire Holt
Claudia Black
Dannii Minogue
Delta Goodrem
Dominic Purcell
Eamon Sullivan
Elissa Sursara
Elle Macpherson
Emilie de Ravin
Emily Browning
Emily Scott
Eric Bana
Erin McNaught
Gemma Ward
Heath Ledger
Holly Brisley
Holly Valance
Hugh Jackman
Hugo Weaving
Imogen Bailey
Isla Fisher
Jacinda Barrett
Jason Clarke
Jennifer Hawkins
Jesse Spencer
Jessica Gomes
Jessica Gower
Julian McMahon
Kasia Zachwieja
Katie Richardson
Keith Urban
Kimberley Busteed
Krystal Forscutt
Kylie Minogue
Kym Johnson
Lara Bingle
Laura Dundovic
Leisel Jones
Libby Trickett
Lisa Gleave
Lleyton Hewitt
Mark Philippoussis
Matthew Newton
Megan Gale
Mel Gibson
Melissa George
Michael Johns
Miranda Kerr
Miranda Otto
Naomi Watts
Natalie Imbruglia
Nathalie Kelley
Nick Kosovich
Nicole Kidman
Niki Gudex
Phoebe Tonkin
Poppy Montgomery
Portia De Rossi
Rachael Taylor
Rachel Griffiths
Radha Mitchell
Rose Byrne
Russell Crowe
Ryan Kwanten
Sam Worthington
Simon Baker
Sophie Monk
Stephanie Rice
Teresa Palmer
Toni Collette
Torah Bright
Travis Fimmel
Yvonne Strahovski
Celebrities From AUSTRIA
Arnold Schwarzenegger
Barbara Schett
Christine Reiler
Kathrin Krafuss
Sybil Danning
Celebrities From AZERBAIJAN
Nigar Talibova
Celebrities From BAHAMAS
Anya Watkins
Sacha Scott
Shakara Ledard
Tinnyse Johnson
Trinere Lynes
Celebrities From BANGLADESH
Tannishtha Chatterjee
Celebrities From BARBADOS
Jewel Garner
Natalie Griffith
Rihanna
Celebrities From BERMUDA
Heather Nova
Celebrities From BELGIUM
Alizee Poulicek
Annelien Coorvetis
Anouck Lepere
Cecile De France
Halima Chehaima
Ingrid Vandebosch
Jessica van der Steen
Celebrities From BELIZE
Arlen Escarpeta
Charmaine Chinapen
Felicita Arzu
Maria Jeffery
Celebrities From BENIN
Djimon Hounsou
Celebrities From BELARUS
Alena Aladka
Olga Hizinkova
Tanya Dziahileva
Victoria Azarenka
Celebrities From BOLIVIA
Jackelin Arias
Jessica Jordan Burton
Kate David
Sandra Hernandez Saavedra
Celebrities From BOSNIA AND HERZEGOVINA
Gordana Tomic
Ivana Milicevic
Olja Hrustic
Tanja Vujicic
Celebrities From BOTSWANA
Itseng Kgomotso
Malebogo Marumoagae
Mpule Kwelagobe
Celebrities From BRAZIL
Adriana Lima
Adriano
Alessandra Ambrosio
Alice Braga
Aline Nakashima
Ana Hickmann
Ana Beatriz Barros
Ana Paula Araujo
Anderson Silva
Bia Feres
Branca Feres
Caroline de Souza Correa
Caroline Trentini
Daniella Sarahyba
Fernanda Motta
Fernanda Tavares
Gianne Albertoni
Gisele Bundchen
Helio Castroneves
Izabel Goulart
Jana Ina
Jeisa Chiminazzo
Kaka
Lisalla Montenegro
Maiara Walsh
Marta Vieira da Silva
Michelle Alves
Milene Domingues
Morena Baccarin
Natalia Anderle
Natalia Guimaraes
Raica Oliveira
Raquel Zimmermann
Regiane Andrade
Roberto Carlos
Robinho
Ronaldinho
Ronaldo
Tamara Almeida
Tiazinha
Tony Kanaan
Yasmin Brunet
Celebrities From BULGARIA
Albena Denkova
Dimitar Berbatov
Gergana Kochanova
Julia Yurevich
Nina Dobrev
Paolina Racheva
Stanislav Ianevski
Celebrities From CANADA
A.J. Cook
Aaron Douglas
Alanis Morissette
Alessandro Juliani
Amanda Tapping
Amanda Walsh
Amelia Cooke
Ashley Leggat
Avril Lavigne
Bianca Beauchamp
Bree Williamson
Brooke D'Orsay
Cameron Mathison
Caroline Dhavernas
Caroline Rhea
Carrie-Anne Moss
Cassie Steele
Celine Dion
Cobie Smulders
Coco Rocha
Colin Ferguson
Corey Sevier
Daniel Cudmore
Daniel Powter
David James Elliott
Deanna Johnston
Diana Krall
Douglas Smith
Dustin Milligan
Edith Labelle
Elisha Cuthbert
Ellen Page
Emily VanCamp
Emmanuelle Chriqui
Emmanuelle Vaugier
Eric Johnson
Eric Lindros
Erica Durance
Estella Warren
Evangeline Lilly
Fefe Dobson
Forbes March
Gina Holden
Gloria Reuben
Grace Park
Gregory Smith
Hayden Christensen
Hazel Mae
Howie Mandel
Inga Skaya
Jamie Sale
Jay Baruchel
Jayde Nicole
Jennifer Finnigan
Jennifer Irwin
Jessalyn Gilsig
Jessica Lucas
Jessica Pare
Jewel Staite
Jill Hennessy
Jillian Reynolds
Jim Carrey
Joanne Kelly
Kandyse McClure
Karen Cliche
Kari Matchett
Kathleen Robertson
Keanu Reeves
Kelly Rowan
Kerri-Lee Halkett
Kim Cattrall
Kristin Kreuk
Kristin Lehman
Laura Regan
Laura Vandervoort
Lauren Lee Smith
Leah Ryerse
Lexa Doig
Leyla Milani
Linda Evangelista
Lisa Ray
Lloyd Eisler
Lucas Bryant
Mario Lemieux
Martha MacIsaac
Megan Park
Melissa Auf Der Maur
Melyssa Ford
Mia Kirshner
Michael Buble
Michael Cera
Michael Shanks
Mike Myers
Missy Peregrym
Molly Parker
Montreal Expos
Morgan Webb
Nadine Bryan Afari
Natalie Appleton
Natalie Glebova
Natasha Henstridge
Nathan Fillion
Nelly Furtado
Neve Campbell
Nickelback
Nicole Appleton
Pamela Anderson
Paulo Costanzo
Rachel Blanchard
Rachel Luttrell
Rachel McAdams
Rachel Perry
Rachelle Lefevre
Rainbow Sun Francks
Ryan Gosling
Ryan Reynolds
Samantha Tajik
Sandra Oh
Sara Ghulam
Sarah Burke
Sarah Carter
Sarah Chalke
Sarah McLachlan
Sarah Polley
Scott Speedman
Shania Twain
Shannon Tweed
Shaun Benson
Shaun Sipos
Shawn Ashmore
Shenae Grimes
Simple Plan
Skye Sweetnam
Stana Katic
Steve Nash
Sum 41
Suzie McNeil
Tahmoh Penikett
Tamara Taylor
Tanith Belbin
Teryl Rothery
Thea Andrews
Thea Gill
Tom Cavanagh
Tom Green
Toronto Blue Jays
Toronto FC
Toronto Raptors
Torri Higginson
Tricia Helfer
Tyler Labine
Vanessa Lengies
Victor Webster
Victoria Pratt
Vincent Lecavalier
Wayne Gretzky
Will Arnett
Will Sasso
Will.i.am
William Shatner
Yasmeen Ghauri
Celebrities From CHILE
Bernardita Zuniga Huesbe
Cote de Pablo
Cristian de la Fuente
Leonor Varela
Nataly Chilet
Santiago Cabrera
Celebrities From COLOMBIA
Catalina Sandino Moreno
Eileen Roca
Fabian Sanchez
Juan Pablo Angel
Juan Pablo Montoya
Katherine Medina
Lianna Grethel
Maria Jose Torrenegra
Paola Turbay
Paula Garces
Shakira
Sofia Vergara
Sonia Uribe
Taliana Vargas
Celebrities From COSTA RICA
Amalia Matamoros
Maria Theresa Rodriguez
Veronica Gonzalez
Wendy Cordero Sanchez
Celebrities From COTE D'IVOIRE
Didier Drogba
Celebrities From CROATIA
Blanka Vlasic
Goran Visnjic
Jelena Dokic
Jelena Maros
Josipa Kusic
Luka Modric
Nina Moric
Severina Vuckovic
Snjezana Loncarevic
Tajana Jeremic
Celebrities From CUBA
David Fumero
Dayron Robles
Jose Contreras
Mayra Veronica
Celebrities From CYPRUS
Anna Vissi
Dimitra Sergiou
Dora Anastasiou
Mari Vasileiou
Celebrities From CZECH REPUBLIC
Alena Seredova
Daniela Pestova
Denise Milani
Eliska Buckova
Eva Herzigova
Hana Soukupova
Jana Defi
Karolina Kurkova
Katerina Sokolova
Lucie Hadasova
Nicole Vaidisova
Paulina Porizkova
Pavel Nedved
Petra Nemcova
Roman Sebrle
Tatana Kucharova
Veronica Varekova
Veronica Zemanova
Zdenka Podkapova
Zuzana Jandova
Celebrities From DEMOCRATIC REPUBLIC OF THE CONGO
Christelle Ndila
Celebrities From DENMARK
Caroline Wozniacki
Connie Nielsen
Helena Christensen
Line Kruuse
Lisa Lents
Mads Mikkelsen
Maria Sten-Knudsen
May Andersen
Rie Rasmussen
Zaklina Sojic
Celebrities From DOMINICAN REPUBLIC
Ada De La Cruz
Albert Pujols
Alfonso Soriano
Amelia Vega
Claudia Cruz
Dania Ramirez
David Ortiz
Hanley Ramirez
Jose Reyes
Kat DeLuna
Manny Ramirez
Marianne Cruz Gonzalez
Massiel Taveras
Miguel Tejada
Nathali Montes de Oca
Pedro Martinez
Vladimir Guerrero
Celebrities From ECUADOR
Domenica Saporiti
Lugina Cabezas
Marjorie Cevallos
Valeska Saab Gomez
Celebrities From EGYPT
Ehsan Hatem El Kirdany
Yara Naoum
Celebrities From EL SALVADOR
Gabriela Gavidia
Lisette Rodriguez
Rebeca Moreno
Silvia Melhado Rodriguez
Celebrities From ENGLAND
Abbi Tatton
Abi Titmuss
Abigail Clancy
Adele Silva
Agyness Deyn
Aisleyne Horgan-Wallace
Alison Carroll
Amanda Holden
Amelle Berrabah
Amy Nuttall
Amy Winehouse
Angela Saunders
Anna Friel
Anna Popplewell
Anna Walton
Arctic Monkeys
Arsenal F.C.
Ashley Cole
Aston Villa
Ben Barnes
Ben Miles
Bianca Gascoigne
Billie Piper
Billy Joe Saunders
Blackburn Rovers
Bonnie Wright
Callum Blue
Calvin Goldspink
Cara Brett
Carmen Ejogo
Cat Deeley
Charlie Cox
Charlie Hunnam
Charlie O'Neale
Chelsea F.C.
Cheryl Cole
China Chow
Chiwetel Ejiofor
Chris Martin
Christopher Eccleston
Christopher Lee
Claire Forlani
Clive Owen
Coldplay
Corinne Bailey Rae
Craig David
Daniel Craig
Daniel Radcliffe
Danielle Lloyd
David Beckham
David Bentley
David Bowie
David Hewlett
David Morrissey
Davina McCall
Davinia Taylor
Denise Van Outen
Dido
Dominic Monaghan
Ed Sanders
Ed Westwick
Elizabeth Hurley
Ellie Lawson
Elton John
Emilia Fox
Emily Blunt
Emily Mortimer
Emily Parr
Emma Bunton
Emma Griffiths
Emma Watson
Eric Clapton
Estelle
Everton FC
Fearne Cotton
Frank Lampard
Freddie Highmore
Freema Agyeman
Gabrielle Anwar
Gavin Rossdale
Gemma Arterton
Gemma Atkinson
Gemma Bissix
Georgia Horsley
Georgie Henley
Georgie Thompson
Georgina Walker
Geri Halliwell
Gina Bellman
Girls Aloud
Gorillaz
Hannah Spearritt
Hayley Atwell
Heather Mills
Heidi Range
Helena Bonham Carter
Holly McGuire
Holly Willoughby
Hugh Bonneville
Hugh Dancy
Hugh Grant
Hugh Laurie
Imogen Gray
Indira Varma
Jack Davenport
Jack Osbourne
Jaime Murray
Jakki Degg
James Blunt
James Callis
James McCourt
James Purefoy
Jamie Bamber
Jamie Cullum
Jane March
Jane Seymour
Jason Statham
Jennifer Ellison
Jennifer Metcalfe
Jenny Frost
Jessica Brooks
Jim Sturgess
Jo Frost
Jo Guest
Jo O'Meara
Jodi Albert
Jodie Marsh
Joe Cole
Joely Richardson
John Terry
Jonny Lee Miller
Joss Stone
Jude Law
Julie Cox
Karen Elson
Kate Beckinsale
Kate Isitt
Kate Moss
Kate Winslet
Katie Downes
Katie Price
Katie-Marie Cork
Keane
Keeley Hazell
Keira Knightley
Keisha Buchanan
Kelly Brook
Kelly Osbourne
Kerry Katona
Kimberley Walsh
Kitty Lea
Lady Sovereign
Laura Coleman
Lauren Pope
Led Zeppelin
Lee Neville
Leilani Dowding
Len Goodman
Lena Headey
Lennox Lewis
Leona Lewis
Lewis Hamilton
Lily Allen
Lily Cole
Lily Donaldson
Lindsey Strutt
Lisa Snowdon
Liverpool F.C.
Lloyd Owen
Louisa Lytton
Louise Glover
Louise Redknapp
Luci Victoria
Lucy Becker
Lucy Clarkson
Lucy Pinder
Lucy Punch
Madison Welch
Manchester City
Manchester United
Mark Frankel
Marsha Thomason
Martine McCutcheon
Matt Grant
Matthew Goode
Matthew MacFadyen
Matthew Marsden
Max Pirkis
Melanie Brown
Melanie C
Melinda Messinger
Michael Bisping
Michael Owen
Michelle Marsh
Michelle Ryan
Middlesbrough FC
Millie Clode
Ms. Dynamite
Myleene Klass
Naomi Campbell
Naomie Harris
Natalia Tena
Natalie Dormer
Natalie Sawyer
Natascha McElhone
Natasha Bedingfield
Natasha Richardson
Naveen Andrews
Nell McAndrew
Newcastle United
Nicci Campen
Nicola McLean
Nicola Roberts
Nicola Tappenden
Nicollette Sheridan
Nigella Lawson
Nikkala Stott
Oasis
Olivia Williams
Orlando Bloom
Owain Yeoman
Ozzy Osbourne
Parminder Nagra
Paul Bettany
Paula Radcliffe
Pete Doherty
Polly Walker
Portsmouth FC
Prince Harry Windsor
Prince William Windsor
Rachael Stirling
Rachel Shelley
Rachel Stevens
Rachel Weisz
Radiohead
Ralph Fiennes
Ray Stevenson
Rebecca Hall
Rhian Sugden
Rhona Mitra
Richard Coyle
Rick Astley
Ricky Gervais
Ricky Hatton
Robbie Williams
Robert Pattinson
Robson Green
Romola Garai
Rosamund Pike
Rupert Grint
Russell Brand
Sacha Baron Cohen
Sadie Frost
Saffron Burrows
Sally Hawkins
Sam Cooke
Samantha Morton
Samantha Ronson
Sammy Braddy
Sarah Alexander
Sarah Brightman
Sarah Harding
Seal
Sean Bean
Sean Maguire
Sharon Osbourne
Sienna Guillory
Sienna Miller
Simon Cowell
Simon Pegg
Sir Alec Guinness
Skandar Keynes
Sophia Myles
Sophie Anderton
Sophie Ellis-Bextor
Sophie Howard
Sophie Okonedo
Sophie Reade
Stacey Hayes
Stephen Moyer
Steve Coogan
Steven Gerrard
Sting
Sunderland A.F.C.
Susie Amy
Tamara Ecclestone
Tamzin Outhwaite
Terri Seymour
Tess Daly
The Beatles
The Who
The Rolling Stones
Theo Walcott
Thom Yorke
Tim Vincent
Tobias Menzies
Tom Daley
Tom Felton
Tottenham Hotspur
Twiggy
Vanessa Angel
Vanessa Layton-McIntosh
Victoria Beckham
Vikki Blows
Vinnie Jones
Wayne Rooney
West Ham United
William Moseley
Celebrities From ESTONIA
Carmen Kass
Julia Kovaljova
Kadi Sizask
Tiiu Kuik
Triinu Kivilaan
Viktoria Azovskaja
Celebrities From ETHIOPIA
Haile Gebrselassie
Hibret Fekadu
Liya Kebede
Mihret Abebe
Celebrities From GIBRALTAR
Danielle Perez
Krystel Robba
Celebrities From GUADELOUPE
Frederika Charpentier
Nancy Fleurival
Celebrities From GUATEMALA
Alida Boer
Hamy Tejada Funes
Jennifer Chiong
Maribel Arana
Celebrities From ICELAND
Alexandra Ivarsdottir
Anita Briem
Berglind Icey
Bjork
Celebrities From INDIA
Aishwarya Rai
Bipasha Basu
Deepti Daryanani
Ishaa Koppikar
Lara Dutta
Mallika Sherawat
Padma Lakshmi
Parvathy Omanakuttan
Priya Rai
Priyanka Chopra
Puja Gupta
Rupak Ginn
Sania Mirza
Shilpa Shetty
Simran Kaur Mundi
Sushmita Sen
Vikas Khanna
Celebrities From IRELAND
Aiden McGeady
Allison Doody
Andrea Corr
Andrea Roche
Angeline Ball
Anthony Stokes
Blathnaid McKenna
Bono
Brian McFadden
Brian O'Driscoll
Caitriona Balfe
Carly Smithson
Carrie McGowan
Chloe Agnew
Cillian Murphy
Colin Farrell
Damien Duff
Daniel Day Lewis
Deirdre Shannon
Dolores O'Riordan
Emma Ledden
Enya
Evanna Lynch
Fiona Ryan
Glenda Gilson
Grainne Seoige
Jasmine Guinness
Jason O'Mara
Jonathan Rhys-Meyers
Katy French
Kerry Condon
Kevin Doyle
Lisa Kelly
Lynn Hilary
Lynn Kelly
Mairead Nesbitt
Meav Ni Mhaolchatha
Orla Fallon
Paddy Casey
Padraig Harrington
Pierce Brosnan
Robbie Keane
Roisin Murphy
Ronan Keating
Ronan O'Gara
Rosanna Davison
Roy Keane
Samantha Mumba
Saoirse Ronan
Sarah Bolger
Sarah Morrissey
Shane Filan
Sile Seoige
Sinead Noonan
Sinead O'Connor
Sligo Rovers
Stuart Townsend
Celebrities From JAMAICA
April Jackson
Asafa Powell
Brittany Lyons
Carla Campbell
Damian Marley
Sean Kingston
Sean Paul
Shelly-Ann Fraser
Usain Bolt
Veronica Campbell-Brown
Zahra Redwood
Celebrities From JAPAN
Aki Hoshino
Akira Lane
Ami Onuki
Ayumi Hamasaki
Daisuke Matsuzaka
Eriko Sato
Fumie Suguri
Hideki Matsui
Hiroko Mima
Ichiro Suzuki
Kazuo Matsui
Keiko Kitagawa
Kohei Uchimura
Kosuke Fukudome
Kurara Chibana
Masi Oka
Miki Ando
Miwa Asao
Mizuki Kubodera
Reina Tanaka
Rinko Kikuchi
Riyo Mori
Ryoko Tani
Sayaka Isoyama
Shizuka Arakawa
Shunsuke Nakamura
Tadanobu Asano
Takeru Kobayashi
Yoko Matsugane
Youki Kudoh
Yu Darvish
Yumi Yoshimura
Celebrities From JERSEY
Henry Cavill
Celebrities From KENYA
Catherine Ndereba
Edi Gathegi
Martin Lel
Mary Oyaya
Ruth Kinuthia
Zain Verjee
Celebrities From LATVIA
Ina Avlasevica
Inga Drozdova
Inguna Butane
Celebrities From LEBANON
Haifa Wehbe
Nadine Njeim
Rosarita Tawil
Celebrities From IRAN
Bahar Soomekh
Golshifteh Farahani
Rudi Bakhtiar
Sara Khoshjamal
Shohreh Aghdashloo
Celebrities From MACEDONIA
Jana Stojanovska
Celebrities From MARTINIQUE
Elodie Delor
Vanessa Beauchaints
Celebrities From MEXICO
Alejandra Guzman
Ana de la Reguera
Ana Claudia Talancon
Anagabriela Espinoza
Diego Luna
Eduardo Verastegui
Elisa Najera
Elsa Benitez
Fernanda Romero
Gael Garcia Bernal
Galilea Montijo
Laura Harring
Lorena Ochoa
Monica Noguera
Ninel Conde
Paulina Rubio
Rosa Maria Ojeda Cuen
Salma Hayek
Sara Ramirez
Thalia
Celebrities From MONGOLIA
Anun Chinbat
Khulan Chuluun
Oyungerel Gankhuyag
Celebrities From MONTENEGRO
Dasa Zivkovic
Mariana Mihajlovic
Marija Vujovic
Celebrities From FRANCE
Alain Bernard Alexa Davalos Alizee Anais Collignon Audrey Tautou Carla Bruni Clara Morgane Clemence Poesy Elodie Bouchez Eva Green Frederic Michalak Gaspard Ulliel Jennifer Lamiraqui Karim Benzema Laetitia Casta Laura Flessel-Colovic Laura Tanguy Laure Manaudou Ludivine Sagnier Marion Cotillard Melanie Thierry Melissa Theuriau Michael Vartan Noemie Lenoir Olivier Martinez Ophelie Winter Patrick Vieira Rachel egrain-Trapani Sophie Marceau Tatiana Golovin Thierry Henry Tony Parker Vanessa Paradis Vincent Cassel Virginie Ledoyen Zinedine Zidane
Celebrities From CHINA
Bai Ling Guo Jingjing Guo Yue Jet Li Joan Chen Katie Leung Li Bingbing Li Gong Lin Dan Liu Xiang Ming-Na Wen Nan Zhang Ningning Zhang Wang Liqin Wei Tang Yan Ling Mei Yang Wei
Yao Ming Zhang Ziyi Zi Lin Zhang Ziya Wei Zou Shiming
Catalina Sandino Moreno
Eileen Roca
Fabian Sanchez
Juan Pablo Angel
Juan Pablo Montoya
Katherine Medina
Lianna Grethel
Maria Jose Torrenegra
Paola Turbay
Paula Garces
Shakira
Sofia Vergara
Sonia Uribe
Taliana Vargas
Celebrities From ICELAND
Alexandra Ivarsdottir
Anita Briem
Berglind Icey
Bjork
Unnur Birna
Celebrities From HONG KONG
Edison Chen
Francine Dee
Isabella Leong
Jackie Chan
Ka Yi Cheung
Skye Chan
Stephanie Jacobsen
Celebrities From GREECE
Aikaterini Evangelinou
Angeliki Kalaitzi
Daniela Amavia
Doukissa Nomikou
Elena Paparizou
Paris Latsis
Yanni
Celebrities From GERMANY
Angelina Glass
Anne Katrin Walter
Cascada
Claudia Schiffer
Cosma Shiva Hagen
Diane Kruger
Dirk Nowitzki
Eva Padberg
Franka Potente
Franziska Van Almsick
Gina Lisa Lohfink
Heidi Klum
Janice Behrendt
Katarina Witt
Kristin Lehmann
Lena Gercke
Lukas Podolski
Madina Taher
Martina Gedeck
Michael Ballack
Miroslav Klose
Nadja Auermann
Natalie Horler
Oxana Chusovitina
Pascal Hens
Sabine Ehrenfeld
Tatjana Patitz
Thomas Kretschmann
Xenia Seeberg
Yvonne Catterfeld
Celebrities From GEORGIA
Ana Giorgelashvili
Gvantsa Daraselia
Katie Melua
Khatuna Skhirtladze
Tamar Nemsitsveridze
Celebrities From AFGHANISTAN
Robina Muqimyar
Celebrities From ALBANIA
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Monday, November 23, 2009
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Wednesday, November 18, 2009
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Saturday, November 14, 2009
Tuesday, November 10, 2009
Computer Graphics
Introduction
Computer graphics are images displayed or animated on a computer screen. Applications of
computer graphics are widespread and growing rapidly. For instance, computer-aided design is
an integral part of many engineering processes. The entertainment industry has made the most
spectacular use of computer graphics–from the special effects in King Kong to the Nintendo
Wii.
Most interactive computer software for business and industry makes use of computer graphics
including screen displays, desktop publishing, and slide production for commercial and education
presentations. Consequently, most students studying a computer language spend some time
learning how to use two-dimensional (2D) graphics, and maybe three dimensional (3D) graphics.
2 Transformations in 2D
We begin by examining some of the basic mathematics used to manipulate and display graphical
images such as a letter of the alphabet. Such an image consists of a number of points, connected
lines or curves, and information about how to fill closed regions bounded by the lines and
curves. Often, curved lines are approximated by short straight-line segments, and a figure is
defined mathematically by a list of points.
The capital letter N can be determined by eight points, or vertices. The coordinates of the
points can be stored in a data matrix D. In addition to D, it is necessary to specify which
vertices are connected by lines, but we will omit this detail for now.
The main reason graphical objects are described by a collection of straight-line segments is that
the standard transformations in computer graphics map line segments onto other line segments.
Once the vertices that describe an object have been transformed, their images can be connected
with the appropriate straight lines to produce the compete image of the original object.
1. On graph paper, carefully draw the letter N. Construct a data matrix D containing the
eight points or vertices from your drawing. Include in your report a picture of your letter
N.
1
2. Given a matrix A = 1 .25
0 1 , describe the effect of left multiplication by A on the letter
N. Include in your report a picture of the letter N after the transformation by A.
3. In the previous question, the N looks a bit too wide after the transformation by the
matrix A. to compensate, multiply (on the left) the coordinates of the letter obtained in
the previous question by the matrix S = .75 0
0 1 . Include a picture of this letter N
in your report and describe with a short sentence the effect of left multiplication by the
matrix S.
There are three different ways we can move an object to another location. The first way
is by translation. We can translate points in the xy-plane to a new position by adding
translation amounts to the coordinates of the points. For example, we translate the point
(x, y) by moving dx units parallel to the x-axis and by dy units parallel to the y-axis to
the new point (x′, y′). Then x′ = x + dx and y′ = y + dy.
4. Translate your original letter N by 3 units to the right and 2 units up. Include a picture
of the translated letter N in your report, and describe in a short sentence the effect of this
translation on the original letter N.
Points can also be scaled (stretched) by sx along the x-axis and by sy along the y-axis into
a new point by the multiplications x′ = sx · x and y′ = sy · y.
5. Scale your original letter N by 1/2 in x and 1/4 in y. Now scale the original letter N by 2
in x and 4 in y. Include a printout of both scaled letters and describe in a short sentence
the effect of these transformations on the original letter N.
6. In the previous question, what matrices A and B would produce the effects of the trans-
formations on the letter N when the matrix D is multiplied on the left by A or B?
Points can also be rotated through an angle about the origin. Let (x, y) denote a point
in the plane that we wish to rotate through the angle , and let (xr, yr) denote the new
point after the rotation. Our first objective is to calculate the new coordinates in terms
of the old ones. Let b denote the length of the line segment from (0, 0) to (x, y) and
denote the angle between the x-axis and this line. Then x = b cos( ) and y = b sin( ).
Similar formulas give us xr and yr in terms of the angle + .
2
7. Find formulas for xr and yr similar to those given for x and y in terms of the angle + .
Use trigonometric identities to rewrite these formulas in terms of the angles and . Then
identify occurrences of x and y in these expressions, and rewrite the formulas to give xr
and yr in terms of x, y, and only.
8. Rewrite this transformation (the rotation through the angle ) as left multiplication by a
matrix A, that is, find A so that A x
y = xr
yr . We will call A the rotation matrix for
the angle .
9. Test your result from the previous question by rotation the point (1, 0) through an angle
of 60◦. First, use some scratch paper and trigonometry to see what the answer should be.
Then let B be the 2×2 rotation matrix for the angle of 60◦. Apply B to the appropriate
vector for the point (1, 0). Check that your matrix B gives the same result as the hand
calculation.
10. Repeat the preceding step with the point (0, 1).
11. Using your calculator, compute B6,B12,B18, and B24. Explain your results in terms of
rotations. In particular, how could you have predicted the particular matrices that your
calculator produced?
12. Let K be the 2 × 2 rotation matrix for a rotation of 15◦. Compute B2,K4,K2B,KBK
and BK2. Compare the results and explain what you see.
13. Explain why the product of any two 2 × 2 rotation matrices is another rotation matrix.
Illustrate your argument with a specific example.
14. In general, we know that matrix multiplication is not commutative; i.e., if A and B are
both n×n matrices, then usually AB is not the same as BA. However, rotation matrices
are a special case. Explain why, for any two 2D rotation matrices Q and R, it must follow
that QR = RQ. Then use B and K from the preceding step to illustrate your argument.
3 Homogeneous Coordinates
In Part 1, we saw that there were three types of transformations in 2D – translation, scaling,
and rotation. OF these three, scaling and rotation can be accomplished by left multiplication
of a 2 × 2 matrix. It turns out that translation cannot be accomplished by left multiplication
of a 2 × 2 matrix. WE would like to be able to treat all three transformations in a consistent
way, so that they can be combined easily. This can be done by expressing the points in homogeneous
coordinates. Homogeneous coordinates were first developed in geometry and have been
applied in graphics. Numerous graphics subroutine packages and display processors work with
homogeneous coordinates and transformations.
3
Each point (x, y) in the xy-plane can be identified with the (x, y, 1) on the plane in R3 that
lies one unit above the xy-plane. We say that (x, y) has homogeneous coordinates (x, y, 1). For
example, the point (0, 0) has homogeneous coordinates (0, 0, 1). Homogeneous coordinates for
points can be transformed via multiplication by 3 × 3 matrices.
1. What 3×3 matrix has the effect of translating the point (x, y) by dx units parallel to the
x-axis and by dy units parallel to the y-axis to the new point (x′, y′)? That is, find a 3×3
matrix A so that A
x
y
1
=
x′
y′
1
.
2. Repeat the previous question for scaling by sx along the x-axis and by sy along the y-axis.
3. Repeat for rotations through the angle .
The movement of a figure on a computer screen often requires two or more basic transfor-
mations. The compositions of such transformations corresponds to matric multiplication
when homogeneous coordinates are used. For the next three questions below, find 3 × 3
matrices that produce the described composite 2D transformation, using homogeneous
coordinates. Illustrate each composite 2D transformation on the image of a triangle with
data matrix D = 5 2 4
0 2 3 .
4. Translate by (3, 1) and then rotation 45◦ about the origin.
5. Translate by (−2, 3) and then scale the x-coordinate by .8 and the y-coordinate by 1.2.
6. Reflect points in the x-axis, and then rotate 30◦ about the origin.
7. Consider the following geometric 2D transformations: D a dilation (in which x-coordinates
and y-coordinates are scaled by the same factor), R a rotation, and T a translation. Does
D commute with R? In other words, is DR = RD for any rotation and dilation D? Does
D commute with T ? Does R commute with T ?
8. A rotation on a computer screen is sometimes implemented as the product of two shear-
and-scale transformations, which can speed up calculations that determine how a graphic
image actually appears in terms of screen pixels. (The screen consists of rows and columns
of small dots, called pixels.) The first transformation A1 translates vertically and then com-
presses each column of pixels; the second A2 translates horizontally and then stretches each
row of pixels, where A1 =
1 0 0
sin( ) cos( ) 0
0 0 1
and A2 =
sec( ) −tan( ) 0
0 1 0
0 0 1
. Us-
ing = 30◦, apply A1 followed by A2 to the rectangle with data matrixD = 1 1 4 4
1 3 1 3 .
4
Show, for a given angle , that the composition of the two transformations is a rotation
in 2D.
4 3D Computer Graphics
Some of the newest and most exciting work in computer graphics is connected with molecular
modeling. With 3D graphics, a biologist can examine a simulated protein molecule and search
for active sites that might accept a drug molecule. The biologist can rotate and translate an
experimental drug and attempt to attach it to the protein. This ability to visualize potential
chemical reactions is vital to modern drug and cancer research. In fact, advances in drug design
depend, on some extent, upon progress in the ability of computer graphics to construct realistic
simulations of molecules and their interactions.
Current research in molecular modeling is focused on virtual reality, an environment in which a
researcher can see and feel the drug molecule slide into the protein. Another design for virtual
reality involves a helmet and glove that detects head, hand, and finger movements. The helmet
contains two tiny computer screens, one for each eye. Making this virtual environment more
realistic is a challenge to engineers, scientist, and mathematicians. The mathematics we will
examine barely opens the door to this interesting and important field of research.
In 3D, a point can be rotated about any one of the three axes. The 3d version of the 2d rotation
matrix A are given by: P =
cos() −sin() 0
sin() cos() 0
0 0 1
, Q =
1 0 0
0 cos() −sin()
0 sin() cos()
, and
R =
cos() 0 sin()
0 1 0
−sin() 0 cos()
.
The matrix P rotates a point in 3D about the z-axis, Q about the x-axis, and R about the
y-axis. These are not the only possible rotations in 3D, but we will limit our attention to these
possibilities for now.
1. What feature of each of the matrices above tells us quickly the axis about which the
rotation is being done?
2. We saw earlier that multiplication of 2D rotation matrices is commutative, even though
matrix multiplication in general is not commutative. We’ll try this for 3D rotation matri-
ces. Let P30 and P45 be the matrices for rotations of 30◦ and 45◦, respectively, around the
z-axis. Compute P30P45 and P45P30. What do you observe?
3. Now compute P30R45 and R45P30. what do you observe? Hold an object (such as your
textbook) out in front of you, and rotate it as indicated in these product matrices. Try to
convince yourself that what you observed mathematically is consistent with reality. Write
a couple of sentences to describe what you observed, both physically and mathematically.
5
4. Try to generalize what you computed in the preceding steps. In particular, are any 3D
rotation matrices multiplicatively commutative? If so, which ones?
5. Suppose an image is stored in computermemory as we described earlier–a set of coordinates
in 3D space. Assume that when the object is displayed on the screen, the x-axis is
perpendicular to the screen, the y-axis is horizontal, and the z-axis is vertical. Thus, the
yz-plane is on the surface of the screen. The software can perform rotations by multiplying
each point (as a vector) by an appropriate rotation matrix and then displaying the result.
If we want to display the object so that it is first flipped over from our right to our left,
and then the axis projected toward us is tilted upward 20◦, what matrix can the computer
use to do this transformation? Explain your reasoning, and compute the matrix.
5 Homogeneous Coordinates in 3D
Just as 2D transformation can be represented by 3 × 3 matrices, using homogeneous coordi-
nates, 3D transformations can be represented by 4×4 matrices, providing we use homogeneous
coordinate representations of points in 3-space as well. By analogy with the 2D case, we say
that (x, y, z, 1) are homogeneous coordinates for the point (x, y, z).
In the first four questions below, give the 4×4 matrix for performing the indicated translations
in 3D.
1. Rotation about the y-axis through an angle of 30◦.
2. Translation by (−6, 4, 5).
3. Scaling by (−6, 4, 5).
4. Rotation about the z-axis through an angle of −30◦, and then translates by (5,−2, 1).
5. Illustrate the effects of the above transformations on the triangle with vertices (4.2, 1.2, 4),
(6, 4, 2), and (2, 2, 6).
Computer graphics are images displayed or animated on a computer screen. Applications of
computer graphics are widespread and growing rapidly. For instance, computer-aided design is
an integral part of many engineering processes. The entertainment industry has made the most
spectacular use of computer graphics–from the special effects in King Kong to the Nintendo
Wii.
Most interactive computer software for business and industry makes use of computer graphics
including screen displays, desktop publishing, and slide production for commercial and education
presentations. Consequently, most students studying a computer language spend some time
learning how to use two-dimensional (2D) graphics, and maybe three dimensional (3D) graphics.
2 Transformations in 2D
We begin by examining some of the basic mathematics used to manipulate and display graphical
images such as a letter of the alphabet. Such an image consists of a number of points, connected
lines or curves, and information about how to fill closed regions bounded by the lines and
curves. Often, curved lines are approximated by short straight-line segments, and a figure is
defined mathematically by a list of points.
The capital letter N can be determined by eight points, or vertices. The coordinates of the
points can be stored in a data matrix D. In addition to D, it is necessary to specify which
vertices are connected by lines, but we will omit this detail for now.
The main reason graphical objects are described by a collection of straight-line segments is that
the standard transformations in computer graphics map line segments onto other line segments.
Once the vertices that describe an object have been transformed, their images can be connected
with the appropriate straight lines to produce the compete image of the original object.
1. On graph paper, carefully draw the letter N. Construct a data matrix D containing the
eight points or vertices from your drawing. Include in your report a picture of your letter
N.
1
2. Given a matrix A = 1 .25
0 1 , describe the effect of left multiplication by A on the letter
N. Include in your report a picture of the letter N after the transformation by A.
3. In the previous question, the N looks a bit too wide after the transformation by the
matrix A. to compensate, multiply (on the left) the coordinates of the letter obtained in
the previous question by the matrix S = .75 0
0 1 . Include a picture of this letter N
in your report and describe with a short sentence the effect of left multiplication by the
matrix S.
There are three different ways we can move an object to another location. The first way
is by translation. We can translate points in the xy-plane to a new position by adding
translation amounts to the coordinates of the points. For example, we translate the point
(x, y) by moving dx units parallel to the x-axis and by dy units parallel to the y-axis to
the new point (x′, y′). Then x′ = x + dx and y′ = y + dy.
4. Translate your original letter N by 3 units to the right and 2 units up. Include a picture
of the translated letter N in your report, and describe in a short sentence the effect of this
translation on the original letter N.
Points can also be scaled (stretched) by sx along the x-axis and by sy along the y-axis into
a new point by the multiplications x′ = sx · x and y′ = sy · y.
5. Scale your original letter N by 1/2 in x and 1/4 in y. Now scale the original letter N by 2
in x and 4 in y. Include a printout of both scaled letters and describe in a short sentence
the effect of these transformations on the original letter N.
6. In the previous question, what matrices A and B would produce the effects of the trans-
formations on the letter N when the matrix D is multiplied on the left by A or B?
Points can also be rotated through an angle about the origin. Let (x, y) denote a point
in the plane that we wish to rotate through the angle , and let (xr, yr) denote the new
point after the rotation. Our first objective is to calculate the new coordinates in terms
of the old ones. Let b denote the length of the line segment from (0, 0) to (x, y) and
denote the angle between the x-axis and this line. Then x = b cos( ) and y = b sin( ).
Similar formulas give us xr and yr in terms of the angle + .
2
7. Find formulas for xr and yr similar to those given for x and y in terms of the angle + .
Use trigonometric identities to rewrite these formulas in terms of the angles and . Then
identify occurrences of x and y in these expressions, and rewrite the formulas to give xr
and yr in terms of x, y, and only.
8. Rewrite this transformation (the rotation through the angle ) as left multiplication by a
matrix A, that is, find A so that A x
y = xr
yr . We will call A the rotation matrix for
the angle .
9. Test your result from the previous question by rotation the point (1, 0) through an angle
of 60◦. First, use some scratch paper and trigonometry to see what the answer should be.
Then let B be the 2×2 rotation matrix for the angle of 60◦. Apply B to the appropriate
vector for the point (1, 0). Check that your matrix B gives the same result as the hand
calculation.
10. Repeat the preceding step with the point (0, 1).
11. Using your calculator, compute B6,B12,B18, and B24. Explain your results in terms of
rotations. In particular, how could you have predicted the particular matrices that your
calculator produced?
12. Let K be the 2 × 2 rotation matrix for a rotation of 15◦. Compute B2,K4,K2B,KBK
and BK2. Compare the results and explain what you see.
13. Explain why the product of any two 2 × 2 rotation matrices is another rotation matrix.
Illustrate your argument with a specific example.
14. In general, we know that matrix multiplication is not commutative; i.e., if A and B are
both n×n matrices, then usually AB is not the same as BA. However, rotation matrices
are a special case. Explain why, for any two 2D rotation matrices Q and R, it must follow
that QR = RQ. Then use B and K from the preceding step to illustrate your argument.
3 Homogeneous Coordinates
In Part 1, we saw that there were three types of transformations in 2D – translation, scaling,
and rotation. OF these three, scaling and rotation can be accomplished by left multiplication
of a 2 × 2 matrix. It turns out that translation cannot be accomplished by left multiplication
of a 2 × 2 matrix. WE would like to be able to treat all three transformations in a consistent
way, so that they can be combined easily. This can be done by expressing the points in homogeneous
coordinates. Homogeneous coordinates were first developed in geometry and have been
applied in graphics. Numerous graphics subroutine packages and display processors work with
homogeneous coordinates and transformations.
3
Each point (x, y) in the xy-plane can be identified with the (x, y, 1) on the plane in R3 that
lies one unit above the xy-plane. We say that (x, y) has homogeneous coordinates (x, y, 1). For
example, the point (0, 0) has homogeneous coordinates (0, 0, 1). Homogeneous coordinates for
points can be transformed via multiplication by 3 × 3 matrices.
1. What 3×3 matrix has the effect of translating the point (x, y) by dx units parallel to the
x-axis and by dy units parallel to the y-axis to the new point (x′, y′)? That is, find a 3×3
matrix A so that A
x
y
1
=
x′
y′
1
.
2. Repeat the previous question for scaling by sx along the x-axis and by sy along the y-axis.
3. Repeat for rotations through the angle .
The movement of a figure on a computer screen often requires two or more basic transfor-
mations. The compositions of such transformations corresponds to matric multiplication
when homogeneous coordinates are used. For the next three questions below, find 3 × 3
matrices that produce the described composite 2D transformation, using homogeneous
coordinates. Illustrate each composite 2D transformation on the image of a triangle with
data matrix D = 5 2 4
0 2 3 .
4. Translate by (3, 1) and then rotation 45◦ about the origin.
5. Translate by (−2, 3) and then scale the x-coordinate by .8 and the y-coordinate by 1.2.
6. Reflect points in the x-axis, and then rotate 30◦ about the origin.
7. Consider the following geometric 2D transformations: D a dilation (in which x-coordinates
and y-coordinates are scaled by the same factor), R a rotation, and T a translation. Does
D commute with R? In other words, is DR = RD for any rotation and dilation D? Does
D commute with T ? Does R commute with T ?
8. A rotation on a computer screen is sometimes implemented as the product of two shear-
and-scale transformations, which can speed up calculations that determine how a graphic
image actually appears in terms of screen pixels. (The screen consists of rows and columns
of small dots, called pixels.) The first transformation A1 translates vertically and then com-
presses each column of pixels; the second A2 translates horizontally and then stretches each
row of pixels, where A1 =
1 0 0
sin( ) cos( ) 0
0 0 1
and A2 =
sec( ) −tan( ) 0
0 1 0
0 0 1
. Us-
ing = 30◦, apply A1 followed by A2 to the rectangle with data matrixD = 1 1 4 4
1 3 1 3 .
4
Show, for a given angle , that the composition of the two transformations is a rotation
in 2D.
4 3D Computer Graphics
Some of the newest and most exciting work in computer graphics is connected with molecular
modeling. With 3D graphics, a biologist can examine a simulated protein molecule and search
for active sites that might accept a drug molecule. The biologist can rotate and translate an
experimental drug and attempt to attach it to the protein. This ability to visualize potential
chemical reactions is vital to modern drug and cancer research. In fact, advances in drug design
depend, on some extent, upon progress in the ability of computer graphics to construct realistic
simulations of molecules and their interactions.
Current research in molecular modeling is focused on virtual reality, an environment in which a
researcher can see and feel the drug molecule slide into the protein. Another design for virtual
reality involves a helmet and glove that detects head, hand, and finger movements. The helmet
contains two tiny computer screens, one for each eye. Making this virtual environment more
realistic is a challenge to engineers, scientist, and mathematicians. The mathematics we will
examine barely opens the door to this interesting and important field of research.
In 3D, a point can be rotated about any one of the three axes. The 3d version of the 2d rotation
matrix A are given by: P =
cos() −sin() 0
sin() cos() 0
0 0 1
, Q =
1 0 0
0 cos() −sin()
0 sin() cos()
, and
R =
cos() 0 sin()
0 1 0
−sin() 0 cos()
.
The matrix P rotates a point in 3D about the z-axis, Q about the x-axis, and R about the
y-axis. These are not the only possible rotations in 3D, but we will limit our attention to these
possibilities for now.
1. What feature of each of the matrices above tells us quickly the axis about which the
rotation is being done?
2. We saw earlier that multiplication of 2D rotation matrices is commutative, even though
matrix multiplication in general is not commutative. We’ll try this for 3D rotation matri-
ces. Let P30 and P45 be the matrices for rotations of 30◦ and 45◦, respectively, around the
z-axis. Compute P30P45 and P45P30. What do you observe?
3. Now compute P30R45 and R45P30. what do you observe? Hold an object (such as your
textbook) out in front of you, and rotate it as indicated in these product matrices. Try to
convince yourself that what you observed mathematically is consistent with reality. Write
a couple of sentences to describe what you observed, both physically and mathematically.
5
4. Try to generalize what you computed in the preceding steps. In particular, are any 3D
rotation matrices multiplicatively commutative? If so, which ones?
5. Suppose an image is stored in computermemory as we described earlier–a set of coordinates
in 3D space. Assume that when the object is displayed on the screen, the x-axis is
perpendicular to the screen, the y-axis is horizontal, and the z-axis is vertical. Thus, the
yz-plane is on the surface of the screen. The software can perform rotations by multiplying
each point (as a vector) by an appropriate rotation matrix and then displaying the result.
If we want to display the object so that it is first flipped over from our right to our left,
and then the axis projected toward us is tilted upward 20◦, what matrix can the computer
use to do this transformation? Explain your reasoning, and compute the matrix.
5 Homogeneous Coordinates in 3D
Just as 2D transformation can be represented by 3 × 3 matrices, using homogeneous coordi-
nates, 3D transformations can be represented by 4×4 matrices, providing we use homogeneous
coordinate representations of points in 3-space as well. By analogy with the 2D case, we say
that (x, y, z, 1) are homogeneous coordinates for the point (x, y, z).
In the first four questions below, give the 4×4 matrix for performing the indicated translations
in 3D.
1. Rotation about the y-axis through an angle of 30◦.
2. Translation by (−6, 4, 5).
3. Scaling by (−6, 4, 5).
4. Rotation about the z-axis through an angle of −30◦, and then translates by (5,−2, 1).
5. Illustrate the effects of the above transformations on the triangle with vertices (4.2, 1.2, 4),
(6, 4, 2), and (2, 2, 6).
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Monday, November 9, 2009
» Google AdSense
Google AdSense is a fast and easy way for website publishers of all sizes to display relevant, unobtrusive Google ads on their website's content pages and earn money. Because the ads are related to what your users are looking for on your site, you'll finally have a way to both monetize and enhance your content pages.
It's also a way for web site publishers to provide Google search to their site users, and to earn money by displaying Google ads on the search results pages.
The program is free, and combines pay-per-click and pay-per-impression advertising - meaning you get paid for valid clicks on the ads on your site or search results pages as well as impressions on your content pages. So go ahead and try this program. If you comply with this program policies, just complete online application and select either or both of AdSense for content pages and AdSense for search. One application gets you approved for both AdSense and AdSense for search - you can decide to use any combination of these products on your pages.
Google will review your application and follow up with an email within 2-3 days. If you are accepted into the program, you can log in to your new account and get the HTML code to insert into your web pages.
Earning Types: CPC, CPM, CPA
Payment: Check, EFT
Ad Types: Text, Image and Video based ads are available. Different ads on will pay different CPCs (EG Debt Consolidation CPCs might be $5 while game site CPCs might be $0.02)
payout: %40 - %70
following these simple rules will help keep your account in good standing:
1.Don't click on your own Google ads.
2.Don't ask others to click on Google ads.
3.Don't employ pop-up prompts or automatic software installations.
4.Be aware of how your site is promoted.
5.Don't place Google ads on sites that contain prohibited content.
6.Respect Google trademarks.
7.Don't tamper with the AdSense code.
8.Provide a positive user experience.
9.Provide a good environment for advertisers.
10.Be responsive.
11.Do not mask ad elements.
12.Do not place more than 3 ad units and 3 ad links or 2 adsense search boxes on any web page.
13.Do not run competitive contextual text ad or search services on the same site.
14.Never launch a New Page for clicked ads by default.
15.Place ads only on Content Pages.
16.Do not alter the results after ad clicks or searches
» Link Worth
LinkWorth is one of the web's largest and most innovative marketing portals that caters to both Advertisers and Partners.
They have a multitude of products and services to fill your every online marketing need.
They products consist of text link ads, paid blog reviews, in-text links, in-content pay per click ads, rotating text ads, hosted content pages, article submission, directory submission and many more.
We highly reccomend checking out Linkworth and see if you can increase your web traffic and revenue.
LinkWorth for Advertisers:
* Buy ads and increase traffic, visibility and search positions
* SEO/SEM Consulting, Reputation Management
* Article Distribution, Directory Submission, Press Releases, Custom Content & more
* Huge inventory of publishers growing daily
* Perfect backend for Agencies to White Label or Add-on to existing services
* Use our Control Center to manage one or all of your accounts with one login
LinkWorth for Partners:
* Sell ads and monetize your site with relatively little maintenance
* Earn up to 70% of ad revenue recurring monthly in most situations
* Get paid to blog and write reviews for products & services
* Tons of advertisers, from Fortune 500 to small businesses
* The more websites you list, the more money you earn
* Manage all of your published ads and websites with our Control Center
Payment: Check, Wire transfer, Paypal
payout: %70
minimums: Partner websites must be complete with working pages and links between pages. Submissions must be a unique domain that is owned by the Webmaster and easily maintained. Listings that reside on free web servers that result in long and confusing subdirectory URLs will be declined.
Visit LinkWorth and Get More Details
» Chitika eMiniMalls
More than 12000 bloggers and publishers are already using Chitika's ads to earn revenue.
Earning Types: CPC
Payment: Check, Wire transfer, Paypal
payout: %60
minimums: English website/blog, minimum 3000 visits/month
Ad Types:
* eMiniMalls
Chitika's flagship product, eMiniMalls brings pay-per-click product promotion to life on the web. It provides visitors with relevant content and comparative shopping information without even leaving your site.
* Related Products Unit (RPU)
RPU is a simple, non-intrusive text link format that integrates right in to your content, requiring minimal design changes. The RPU is a PPC (pay-per-click) unit designed to complement rather than cannibalize revenue from other ad networks.
* ShopLincs
ShopLinc gives you the power to create your own personalized shopping experience for your audience. Your expert reviews will be featured alongside the products you choose to endorse!
* ShopCloud$
Display popular products in an interactive tag cloud format where each product is linked to cost-per-click (CPC) search results featuring deals, promotions and offers from hundreds of name brand merchants.
* Owna
Showcase one of thousands of products in any of five Ownas on your blog, website or myspace! OWNA's are available in different skins to provide diverse looks.
* Linx
Chitika | Linx will automatically identify key products/keywords mentioned in the content on a website or blog and hyperlink (double underline) those keywords to interactive paid (CPC-based) product listings featuring best deals, offers and promotions from name brand merchants. When users mouse-over these links, a small bubble-like scroll over is revealed listing offers from merchants.
Visit Site and Get More Details
» Widget Bucks
WidgetBucks is a shopping widget that you can place on your website or blog. You earn money every time someone clicks on it. just like Google Adsense, They pay-per-click (PPC). also They are claiming an amazing $3-$6 CPM on widgets, about three times that of traditional ad networks.
the widgets’ content is contextually based according to your site’s content. From there, readers and site visitors can see various information regarding certain products, such as the lowest price available, and from which online retailer.
There are about 5 or so different widget sizes to choose from, and they are all fairly customizable in terms of color, to be better matched with your existing website. a “grab it” option will soon be made available for its widgets, enabling visitors to take the widgets to be placed on their own site.
widgetbucks 300x250 pixels ad
In order to encourage you to sign up or the WidgetBucks program, it’s offering you a $25 credit, meaning you’ll only need to earn another $25 to get your first payment. The shopping widgets are a bit flashy and very much resemble an ad.
Earning Types: CPC, CPM
Payment: Check, Paypal
payout: about $0.3-$6 eCPM
minimums: English website/blog
Ad Types:
770x90 leaderboard widget can earn up to a $7.28 eCPM
160x600 skyscraper widget can get up to a $6.05 eCPM
300x250 rectangle widget can earn up to a $5.50 eCPM
660x330 custom widget can earn up to a $4.65 eCPM
468x60 banner widget can earn up to a $4.50 eCPM
Visit WidgetBucks and Get More Details
Terms :
CPA is Cost Per Acquisition, CPC is Cost Per Click, CPM is Cost Per 1000 Ads Displayed (where M is the Roman letter for 1000), eCPM is effective rate of CPM for CPC based Ads.
Google AdSense is a fast and easy way for website publishers of all sizes to display relevant, unobtrusive Google ads on their website's content pages and earn money. Because the ads are related to what your users are looking for on your site, you'll finally have a way to both monetize and enhance your content pages.
It's also a way for web site publishers to provide Google search to their site users, and to earn money by displaying Google ads on the search results pages.
The program is free, and combines pay-per-click and pay-per-impression advertising - meaning you get paid for valid clicks on the ads on your site or search results pages as well as impressions on your content pages. So go ahead and try this program. If you comply with this program policies, just complete online application and select either or both of AdSense for content pages and AdSense for search. One application gets you approved for both AdSense and AdSense for search - you can decide to use any combination of these products on your pages.
Google will review your application and follow up with an email within 2-3 days. If you are accepted into the program, you can log in to your new account and get the HTML code to insert into your web pages.
Earning Types: CPC, CPM, CPA
Payment: Check, EFT
Ad Types: Text, Image and Video based ads are available. Different ads on will pay different CPCs (EG Debt Consolidation CPCs might be $5 while game site CPCs might be $0.02)
payout: %40 - %70
following these simple rules will help keep your account in good standing:
1.Don't click on your own Google ads.
2.Don't ask others to click on Google ads.
3.Don't employ pop-up prompts or automatic software installations.
4.Be aware of how your site is promoted.
5.Don't place Google ads on sites that contain prohibited content.
6.Respect Google trademarks.
7.Don't tamper with the AdSense code.
8.Provide a positive user experience.
9.Provide a good environment for advertisers.
10.Be responsive.
11.Do not mask ad elements.
12.Do not place more than 3 ad units and 3 ad links or 2 adsense search boxes on any web page.
13.Do not run competitive contextual text ad or search services on the same site.
14.Never launch a New Page for clicked ads by default.
15.Place ads only on Content Pages.
16.Do not alter the results after ad clicks or searches
» Link Worth
LinkWorth is one of the web's largest and most innovative marketing portals that caters to both Advertisers and Partners.
They have a multitude of products and services to fill your every online marketing need.
They products consist of text link ads, paid blog reviews, in-text links, in-content pay per click ads, rotating text ads, hosted content pages, article submission, directory submission and many more.
We highly reccomend checking out Linkworth and see if you can increase your web traffic and revenue.
LinkWorth for Advertisers:
* Buy ads and increase traffic, visibility and search positions
* SEO/SEM Consulting, Reputation Management
* Article Distribution, Directory Submission, Press Releases, Custom Content & more
* Huge inventory of publishers growing daily
* Perfect backend for Agencies to White Label or Add-on to existing services
* Use our Control Center to manage one or all of your accounts with one login
LinkWorth for Partners:
* Sell ads and monetize your site with relatively little maintenance
* Earn up to 70% of ad revenue recurring monthly in most situations
* Get paid to blog and write reviews for products & services
* Tons of advertisers, from Fortune 500 to small businesses
* The more websites you list, the more money you earn
* Manage all of your published ads and websites with our Control Center
Payment: Check, Wire transfer, Paypal
payout: %70
minimums: Partner websites must be complete with working pages and links between pages. Submissions must be a unique domain that is owned by the Webmaster and easily maintained. Listings that reside on free web servers that result in long and confusing subdirectory URLs will be declined.
Visit LinkWorth and Get More Details
» Chitika eMiniMalls
More than 12000 bloggers and publishers are already using Chitika's ads to earn revenue.
Earning Types: CPC
Payment: Check, Wire transfer, Paypal
payout: %60
minimums: English website/blog, minimum 3000 visits/month
Ad Types:
* eMiniMalls
Chitika's flagship product, eMiniMalls brings pay-per-click product promotion to life on the web. It provides visitors with relevant content and comparative shopping information without even leaving your site.
* Related Products Unit (RPU)
RPU is a simple, non-intrusive text link format that integrates right in to your content, requiring minimal design changes. The RPU is a PPC (pay-per-click) unit designed to complement rather than cannibalize revenue from other ad networks.
* ShopLincs
ShopLinc gives you the power to create your own personalized shopping experience for your audience. Your expert reviews will be featured alongside the products you choose to endorse!
* ShopCloud$
Display popular products in an interactive tag cloud format where each product is linked to cost-per-click (CPC) search results featuring deals, promotions and offers from hundreds of name brand merchants.
* Owna
Showcase one of thousands of products in any of five Ownas on your blog, website or myspace! OWNA's are available in different skins to provide diverse looks.
* Linx
Chitika | Linx will automatically identify key products/keywords mentioned in the content on a website or blog and hyperlink (double underline) those keywords to interactive paid (CPC-based) product listings featuring best deals, offers and promotions from name brand merchants. When users mouse-over these links, a small bubble-like scroll over is revealed listing offers from merchants.
Visit Site and Get More Details
» Widget Bucks
WidgetBucks is a shopping widget that you can place on your website or blog. You earn money every time someone clicks on it. just like Google Adsense, They pay-per-click (PPC). also They are claiming an amazing $3-$6 CPM on widgets, about three times that of traditional ad networks.
the widgets’ content is contextually based according to your site’s content. From there, readers and site visitors can see various information regarding certain products, such as the lowest price available, and from which online retailer.
There are about 5 or so different widget sizes to choose from, and they are all fairly customizable in terms of color, to be better matched with your existing website. a “grab it” option will soon be made available for its widgets, enabling visitors to take the widgets to be placed on their own site.
widgetbucks 300x250 pixels ad
In order to encourage you to sign up or the WidgetBucks program, it’s offering you a $25 credit, meaning you’ll only need to earn another $25 to get your first payment. The shopping widgets are a bit flashy and very much resemble an ad.
Earning Types: CPC, CPM
Payment: Check, Paypal
payout: about $0.3-$6 eCPM
minimums: English website/blog
Ad Types:
770x90 leaderboard widget can earn up to a $7.28 eCPM
160x600 skyscraper widget can get up to a $6.05 eCPM
300x250 rectangle widget can earn up to a $5.50 eCPM
660x330 custom widget can earn up to a $4.65 eCPM
468x60 banner widget can earn up to a $4.50 eCPM
Visit WidgetBucks and Get More Details
Terms :
CPA is Cost Per Acquisition, CPC is Cost Per Click, CPM is Cost Per 1000 Ads Displayed (where M is the Roman letter for 1000), eCPM is effective rate of CPM for CPC based Ads.
Monday, November 2, 2009
Sunday, November 1, 2009
JavaScript
JavaScript cookies are stored in the document.cookie object and are created by assigning values to this object. When creating a cookie, you typically specify a name, value, and expiration date and time for that cookie. The cookie will then be accessible in your scripts every time the user returns to your site until the cookie expires. These cookies will also be sent to your server every time the user requests a page from your site. The simplest way to create a cookie is to assign a string value to the
document.cookie object, which looks like this:
name=value;expires=datedocument.cookie object, which looks like this:
video of basic javascript
Cookie management in web technology
A cookie management system serves as a central storage location for information and other data on users. A user's machine contains a cookie having a key and the cookie management system associates user information with this key. Upon receiving a request from a user, a web site retrieves the key from the user's machine and queries the cookie management system for the user information. The cookie management system retrieves the data associated with the key and returns the user information to the site. The sites therefore do not need to store information on all users nor do they need to place their own cookies on the user's machine. If sites obtain more data about a user during an interaction, the sites send this data to the cookie management system which updates its database. The user's machine may contain multiple cookies that correspond to different people and the site can prompt the user to select the appropriate one. The cookies may correspond to the same user and specify different amounts or categories of information. The user may supply a password to enable sites to access their data from the cookie management system.
<head>
<script language=”JavaScript”>
document.cookie = “myCookie=” + escape(“This is my
Cookie”);
</script>
</head>
JavaScript cookies are stored in the document.cookie object and are created by assigning values to this object. When creating a cookie, you typically specify a name, value, and expiration date and time for that cookie. The cookie will then be accessible in your scripts every time the user returns to your site until the cookie expires. These cookies will also be sent to your server every time the user requests a page from your site. The simplest way to create a cookie is to assign a string value to the document.cookie object, which looks like this:
name=value; expires=date<head>
<script language=”JavaScript”>
document.cookie = “myCookie=” + escape(“This is my
Cookie”);
</script>
</head>
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