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Appl. Num. Anal. Comp. Math. 1, No. 1, 3 22 (2004) / DOI 10.1002/anac.DOIsuffix Analytic Evaluation of Collocation Integrals for the Radiosity
 

Summary: Appl. Num. Anal. Comp. Math. 1, No. 1, 3 22 (2004) / DOI 10.1002/anac.DOIsuffix
Analytic Evaluation of Collocation Integrals for the Radiosity
Equation.
Jaehoon Seol1
and Kendall E. Atkinson2
1
Department of Mathematics and Computer Science, Valdosta State University, 1500 N Patternson St., Val-
dosta, Georgia, 31698
2
Department of Mathematics and Department of Computer Science, University of Iowa, Iowa City, Iowa,
52242
Received 15 November 2004, revised 30 November 2004, accepted 2 December 2004
Published online 3 December 2004
Key words radiosity equation, integral equation, analytic evaluation, collocation methods, computer graphics
AMS 04A25
In this work, we consider solving the radiosity equation using the collocation method. We develop analytic
evaluation of the integrations which are needed to setup the linear system in solving the radiosity equation
using the collocation method. These integrations are over triangular elements in R3
. Our approach is to use
affine transformations to convert integrations over elements in R3

  

Source: Atkinson, Kendall - Departments of Computer Science & Mathematics, University of Iowa

 

Collections: Computer Technologies and Information Sciences