Approximating the Reflection Integral as a Summation: Where Did the dÏ‰i Go?
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.
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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