Probabilistic Approaches to Shadow Maps Filtering
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The document summarizes various probabilistic approaches to reducing aliasing in shadow maps. It discusses previous work using variance shadow maps (VSM) and higher order moments. It then covers using probability density functions (PDFs) fitted to multiple moments to model the depth distribution, and an approach called exponential shadow maps that uses an exponential function to remove light bleeding artifacts. The document concludes that while these techniques help, further work is still needed to fully address light bleeding from non-planar surfaces.
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Probabilistic Approaches to Shadow Maps Filtering
- 16. Higher Order Moments (2/5)
- 23. Exponential Shadow Maps (3/7) 512 x 512 x 4 bytes (fp32) 5 x 5 box filter, 4 separable passes
- 26. Exponential Shadow Maps (6/7) Overdarkening can reduce light bleeding
- 31. Bibliography (1/2) [Williams83] Williams, Lance. “Pyramidal Parametrics”, SIGGRAPH83 Proceedings , Vol. 17, No. 3, July 1983". [Reeves87] William T. Reeves, David H. Salesin, Robert L. Cook “Rendering anti aliased shadows with depth maps”, SIGGRAPH87 Proceedings , (July, 1987), pp. 283-291[Lokovic00] Tom Lokovic and Eric Veach, “Deep Shadow Maps.” SIGGRAPH 2000 Proceedings (August 2000), Addison-Wesley. [Philips95] Thomas K. Philips, Randolph Nelson, “The Moment Bound Is Tighter Than Chernoff's Bound for Positive Tail Probabilities”, The American Statistician , Vol. 49, No. 2 (May, 1995), pp. 175-178 [Lokovic00] Tom Lokovic and Eric Veach, “Deep Shadow Maps.” SIGGRAPH 2000 Proceedings (August 2000), Addison-Wesley. [Amour04] Jean-Francois St. Amour, Eric Paquette, et al.”Real Time Soft Shadows Using the PDSM Technique.” ShaderX4, edited by W. Engel. Charles River Media, Hingham, MA, 2005. [Martin04] Tobias Martin and Tiow-Seng Tan ,”Anti-aliasing and Continuity with Trapezoidal Shadow Maps”, Proceedings of Eurographics Symposium on Rendering , 21-23 June 2004, Norrköping, Sweden, page 153-160 (text) and page 412 (color plate)
- 32. Bibliography (2/2) [Wimmer04] Michael Wimmer, Daniel Scherzer, Werner Purgathofer, “Light Space Perspective Shadow Maps” , Eurographics Symposium on Rendering 2004 [Schueler05] Schueler, Christian. “Eliminating Surface Acne with Gradient Shadow Mapping.” ShaderX4 , edited by W. Engel. Charles River Media, Hingham, MA, 2005. [Donnelly06] William Donnelly, Andrew Lauritzen, “Variance Shadow Maps” Symposium on Interactive 3D Graphics and Games Proceedings (2006), ACM [Engel06] Wolfgang Engel, “Cascaded Shadow Maps”, ShaderX5, edited by W. Engel. Charles River Media, Hingham, MA, 2006. [Annen07] Thomas Annen, Tom Mertens, Philippe Bekaert, Hans-Peter Seidel, Jan Kautz, “Convolution Shadow Maps”, Rendering Techniques 2007: Eurographics Symposium on Rendering , June 2007. [Salvi08] Marco Salvi, “Rendering Filtered Shadows with Exponential Shadow Maps”, ShaderX6, edited by W. Engel. Charles River Media, Hingham, MA, 2008.