DocumentCode :
2610361
Title :
Comparison of Finite Element Bases for Global Illumination in Image Synthesis
Author :
Pereira, Danillo Roberto ; Stolfi, Jorge ; Gomide, Anamaria
Author_Institution :
Inst. of Comput., Univ. of Campinas (UNICAMP), Campinas, Brazil
fYear :
2010
fDate :
Aug. 30 2010-Sept. 3 2010
Firstpage :
287
Lastpage :
294
Abstract :
Finite element bases defined by sampling points were used by J. Lehtinen in 2008 for the efficient computation of global illumination in virtual scenes. The bases provide smooth approximations for the radiosity and spontaneous emission functions, leading to a discrete version of Kajiya´s rendering equation. Unlike methods that are based on surface subdivision, Lehtinen´s method can cope with arbitrarily complex geometries. In this paper we present an experimental validation of Lehtinen´s meshless method by comparing its results with an independent numerical solution of the rendering equation on a simple three-dimensional scene. We also compare Lehtinen´s special finite-element basis with two other similar bases that are often used for meshless data interpolation, namely a radial basis with a Gaussian mother function, and Shepard´s inverse-square-distance weighted interpolation. The results confirm the superiority of Lehtinen´s basis and clarify why the other two bases provide inferior-looking results.
Keywords :
Gaussian processes; finite element analysis; image sampling; interpolation; lighting; rendering (computer graphics); virtual reality; Gaussian mother function; Kajiya rendering equation; Lehtinen meshless method; finite element bases; global illumination; image sampling; image synthesis; interpolation; virtual scenes; Equations; Finite element methods; Interpolation; Lighting; Mathematical model; Rendering (computer graphics); finite elements method; global illumination; radial basis; radiosity; shepard basis;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Graphics, Patterns and Images (SIBGRAPI), 2010 23rd SIBGRAPI Conference on
Conference_Location :
Gramado
Print_ISBN :
978-1-4244-8420-1
Type :
conf
DOI :
10.1109/SIBGRAPI.2010.45
Filename :
5720337
Link To Document :
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