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Image Shading taking into Account Relativistic Effects. Meng-Chou Chang, Feipei Lai, Wei Chao Chen. Presentation by Siddharth Dalal. Why?. Fun - Cool Stuff Education - Read Gamov vs. Play Game Sci-Fi flick, video game Curiosity Mad Scientists See the Madness...
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Image Shading taking into Account Relativistic Effects Meng-Chou Chang, Feipei Lai, Wei Chao Chen Presentation by Siddharth Dalal
Why? • Fun - Cool Stuff • Education - Read Gamov vs. Play Game • Sci-Fi flick, video game • Curiosity • Mad Scientists See the Madness... I wonder what the world would look like if I could ride a beam of light. Albert Einstein
What? • Find Apparent Shape of Object • For every visible point on the object: • Determine viewing direction - Aberration • Determine the space time co-ordinate - LT • For each light source • Find apparent posn wrt light • det. light direction vector • if light is not blocked - irradiance • find reflected irradiance • find apparent scene radiance BRDF (274) Equations didn’t make sense to me either, except...
Relativity • The Lorentz Transform • Magic Number - γ=1/sqrt(1-v2/c2) • Example - t=t γ Time is the numeration of continuous movement Aristotle
Relativity • Velocity Transform • Aberration of Light • Doppler Effect O Galaxies! Wait, don’t leave us behind….
Effects on Shape • Arrival of light…. A square at any other speed may not be square
Related Work • Before • 60s stuff • Hsiung (90) • Relativistic Ray Tracer • T - Buffer (296) • After (99) • Weiskopf…. • new correct Doppler eqn’s Everything you know is wrong…. All wrong Networks Prof in UG
Links • http://www.anu.edu.au/Physics/Searle/Obsolete/Seminar.html • http://www.cs.cmu.edu/~rht/ • http://www.bartleby.com/173/ • http://wwwvis.informatik.uni-stuttgart.de/~weiskopf/gallery/index.html • This Presentation http://www.cs.virginia.edu/~sgd2z/paper.ppt