The planar radiosity equation and its numerical solution

IMA Journal of Numerical Analysis

Volumn 20, Issue 2, 2000, Pages 303-332

  Atkinson, Kendall ^a  

^a UNIVERSITY OF IOWA   (United States)

Author keywords

Collocation methods; Graded mesh methods; Integral equation; Mellin convolution equations; Numerical analysis; Radiosity equation

Indexed keywords

CONVOLUTION; NUMERICAL ANALYSIS; NUMERICAL METHODS;

COLLOCATION METHOD; CONVOLUTION EQUATIONS; GRADED MESHES; NUMERICAL SOLUTION; PIECEWISE POLYNOMIALS; RADIOSITY EQUATIONS; REGULARITY PROPERTIES; VISIBILITY FUNCTION;

INTEGRAL EQUATIONS;

EID: 0034421316     PISSN: 02724979     EISSN: None     Source Type: Journal    
DOI: 10.1093/imanum/20.2.303     Document Type: Article

References (14)

1. ATKINSON, K. 1997 The Numerical Solution of Integral Equations of the Second Kind. Cambridge: Cambridge University Press.
2. ATKINSON, K. & CHANDLER, G. 1998 The collocation method for solving the radiosity equation for unoccluded surfaces. J. Integral Equations Applic. 10, 253-290.
3. ATKINSON, K., GRAHAM, I., & SLOAN, I. 1983 Piecewise continuous collocation for integral equations. SIAM J. Numer. Anal. 20, 172-186.
4. CHANDLER, G. & GRAHAM, I. 1988 Product integration-collocation methods for non-compact integral operator equations. Math. Comput. 50, 125-138.
5. COHEN, M. & WALLACE, J. 1993 Radiosity and Realistic Image Synthesis. New York: Academic.
6. COSTABEL, M. & STEPHAN, E. 1985 Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation. Mathematical Models and Methods in Mechanics, Banach Center Publications 15, Warsaw, pp 175-251.
7. ELSCHNER, J. 1990 On spline approximation for a class of non-compact integral equations. Math. Nachr. 146, 271-321.
8. HECKBERT, P. 1991 Simulating global illumination using adaptive meshing. PhD Thesis, University of California at Berkeley.
9. HECKBERT, P. 1992 Radiosity in flatland. Computer Graphics Forum 11, 181-192, Proceedings of Eurographics '92.
10. LISCHINSKI, D., TAMPIERI, F., & GREENBERG, D. 1992 Discontinuity meshing for accurate radiosity. IEEE Comput. Graphics Applic. 12, 25-39.
11. MODEST, M. 1993 Radiative Heat Transfer. New York: McGraw-Hill.
12. ORTI, R., RIVIERE, S., DURAND, F., & PUECH, C. 1996 Radiosity for dynamic scenes in flatland with the visibility complex. Eurographics '96, ed J. Rossignac and F. Sillion. Blackwell Publications, vol. 15, No 3, pp C237-C248.
13. RATHSFELD, A. 1997 Edge asymptotics for the radiosity equation over polyhedral boundaries. Preprint 369, Weierstraß-Institut für Angewandte Analysis und Stochastik, Berlin.
14. SILLION, F. & PUECH, C. 1994 Radiosity and Global Illumination. San Francisco: Morgan Kaufmann.