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On the properties of the radiosity equation near corners
Author(s) -
Hansen Olaf
Publication year - 2003
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200310191
Subject(s) - radiosity (computer graphics) , piecewise , mathematical analysis , space (punctuation) , integral equation , mathematics , function (biology) , physics , computer science , optics , evolutionary biology , biology , operating system
The radiosity equation is an integral equation of the second kind which describes the energy exchange by radiation between surfaces in R 3 . It is assumed that all surfaces are Lambertian reflectors and that all emitters are diffusive emitters. The radiosity equation plays an important role for the calculation of photo realistic images with the help of computers. Many surfaces which are used in practical calculations are only piecewise smooth and contain edges or corners. In this contribution we present regularity results for the solution of the radiosity equation in the vicinity of corners. The space of piecewise continuous functions is not suitable for this equation and we construct a new function space which contains the solution of the radiosity equation.