Approximating the Reflection Integral as a Summation: Where Did the dωi Go?

Ben-Artzi, Aner

In this note, I explore why the the common approximation of the reflection integral is not written with a delta omega-in ( ) to replace the differential omega-in ( ). After that, I go on to discover what really happens when the sum over all directions is reduced to a sum over a small number of directions. In the final section, I make recommendations for correctly approximating the reflection sum, and briefly suggest a possible framework for multiple importance sampling on both lighting and brdf.



More About This Work

Academic Units
Computer Science
Department of Computer Science, Columbia University
Columbia University Computer Science Technical Reports, CUCS-042-05
Published Here
April 21, 2011