@InProceedings{PereiraGomiStol:2010:CoFiEl,
author = "Pereira, Danillo Roberto and Gomide, Anamaria and Stolfi, Jorge",
affiliation = "{Insitute of Computing - UNICAMP} and {Insitute of Computing -
UNICAMP} and {Insitute of Computing - UNICAMP}",
title = "Comparison of Finite Element Bases for Global Illumination in
Image Synthesis",
booktitle = "Proceedings...",
year = "2010",
editor = "Bellon, Olga and Esperan{\c{c}}a, Claudio",
organization = "Conference on Graphics, Patterns and Images, 23. (SIBGRAPI)",
publisher = "IEEE Computer Society",
address = "Los Alamitos",
keywords = "Radiosity FEM.",
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. .",
conference-location = "Gramado, RS, Brazil",
conference-year = "30 Aug.-3 Sep. 2010",
doi = "10.1109/SIBGRAPI.2010.45",
url = "http://dx.doi.org/10.1109/SIBGRAPI.2010.45",
language = "en",
ibi = "8JMKD3MGPBW34M/3897BMR",
url = "http://urlib.net/ibi/8JMKD3MGPBW34M/3897BMR",
targetfile = "69515_2.pdf",
urlaccessdate = "2024, May 03"
}