Image Shading taking into Image Shading taking into Account Relativistic EffectsAccount Relativistic Effects

Meng-Chou Chang, Feipei Lai, Meng-Chou Chang, Feipei Lai,

Wei Chao ChenWei Chao Chen

Presentation bySiddharth Dalal

Why?Why?

Fun - Cool StuffFun - Cool Stuff Education - Read Gamov vs. Play GameEducation - Read Gamov vs. Play Game Sci-Fi flick, video gameSci-Fi flick, video game CuriosityCuriosity Mad Scientists See the Madness...Mad Scientists See the Madness...

I wonder what the world would look like if I could I wonder what the world would look like if I could ride a beam of light.ride a beam of light.

Albert EinsteinAlbert Einstein

What?What? Find Apparent Shape of ObjectFind Apparent Shape of Object For every visible point on the object:For every visible point on the object:

– Determine viewing direction - Determine viewing direction - AberrationAberration– Determine the space time co-ordinate - Determine the space time co-ordinate - LTLT– For each light sourceFor each light source

Find apparent posn wrt lightFind apparent posn wrt light det. light direction vectordet. light direction vector if light is not blocked - irradianceif light is not blocked - irradiance

– find reflected irradiancefind reflected irradiance– find apparent scene radiancefind apparent scene radiance

BRDF (274)

Equations didn’t make sense to me either, except...Equations didn’t make sense to me either, except...

RelativityRelativity

The Lorentz TransformThe Lorentz Transform

Magic Number - γ=1/sqrt(1-vMagic Number - γ=1/sqrt(1-v22/c/c22)) Example - t=t γExample - t=t γ

Time is the numeration of continuous movementTime is the numeration of continuous movementAristotleAristotle

RelativityRelativity

Velocity TransformVelocity Transform Aberration of LightAberration of Light

Doppler EffectDoppler Effect

O Galaxies! Wait, don’t leave us behind…. O Galaxies! Wait, don’t leave us behind….

Effects on ShapeEffects on Shape

Arrival of light….Arrival of light….

A square at any other speed may not be squareA square at any other speed may not be square

What about a teapot?What about a teapot?

Effects on Scene RadianceEffects on Scene Radiance

Related WorkRelated Work

BeforeBefore– 60s stuff60s stuff– Hsiung (90)Hsiung (90)

Relativistic Ray TracerRelativistic Ray Tracer T - Buffer (296)T - Buffer (296)

After (99)After (99)– Weiskopf….Weiskopf….

new correct Doppler eqn’snew correct Doppler eqn’s

Everything you know is wrong…. All wrongEverything you know is wrong…. All wrongNetworks Prof in UGNetworks Prof in UG

LinksLinks

http://www.anu.edu.au/Physics/Searle/http://www.anu.edu.au/Physics/Searle/Obsolete/Seminar.htmlObsolete/Seminar.html

http://www.cs.cmu.edu/~rht/http://www.cs.cmu.edu/~rht/ http://www.bartleby.com/173/http://www.bartleby.com/173/ http://wwwvis.informatik.uni-http://wwwvis.informatik.uni-

stuttgart.de/~weiskopf/gallery/index.htmlstuttgart.de/~weiskopf/gallery/index.html This PresentationThis Presentation

http://www.cs.virginia.edu/~sgd2z/paper.http://www.cs.virginia.edu/~sgd2z/paper.pptppt