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ANALYTIC METHODS FOR SIMULATED LIGHT TRANSPORT
 

Summary: ANALYTIC METHODS FOR
SIMULATED LIGHT TRANSPORT
James Richard Arvo
Yale University
1995
This thesis presents new mathematical and computational tools for the simula­
tion of light transport in realistic image synthesis. New algorithms are presented for
exact computation of direct illumination effects related to light emission, shadow­
ing, and first­order scattering from surfaces. New theoretical results are presented
for the analysis of global illumination algorithms, which account for all interreflec­
tions of light among surfaces of an environment.
First, a closed­form expression is derived for the irradiance Jacobian, which is
the derivative of a vector field representing radiant energy flux. The expression
holds for diffuse polygonal scenes and correctly accounts for shadowing, or partial
occlusion. Three applications of the irradiance Jacobian are demonstrated: locat­
ing local irradiance extrema, direct computation of isolux contours, and surface
mesh generation.
Next, the concept of irradiance is generalized to tensors of arbitrary order. A
recurrence relation for irradiance tensors is derived that extends a widely used
formula published by Lambert in 1760. Several formulas with applications in com­

  

Source: Arvo, Jim - Departments of Information and Computer Science & Electrical and Computer Engineering, University of California, Irvine

 

Collections: Computer Technologies and Information Sciences