Transcript PowerPoint

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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I wonder what the world would look like if I
could ride a beam of light.
Albert Einstein
What?
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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
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Find apparent posn wrt light
det. light direction vector
if light is not blocked - irradiance
BRDF (274)
– find reflected irradiance
– find apparent scene radiance
Equations didn’t make sense to me either, except...
Relativity
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The Lorentz Transform
Magic Number - γ=1/sqrt(1-v2/c2)
 Example - t=t γ
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Time is the numeration of continuous movement
Aristotle
Relativity
Velocity Transform
 Aberration of Light
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Doppler Effect
O Galaxies! Wait, don’t leave us behind….
Effects on Shape
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Arrival of light….
A square at any other speed may not be square
What about a teapot?
Effects on Scene Radiance
Related Work
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Before
– 60s stuff
– Hsiung (90)
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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
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http://www.anu.edu.au/Physics/Searle/Obsol
ete/Seminar.html
http://www.cs.cmu.edu/~rht/
http://www.bartleby.com/173/
http://wwwvis.informatik.unistuttgart.de/~weiskopf/gallery/index.html
This Presentation
http://www.cs.virginia.edu/~sgd2z/paper.ppt