6533b82afe1ef96bd128c0a6

RESEARCH PRODUCT

On the properties of the radiosity equation near corners

Olaf Hansen

subject

Function spaceMathematical analysisPiecewiseRadiosity (computer graphics)GeometrySpace (mathematics)Integral equationEnergy exchangeMathematics

description

The radiosity equation is an integral equation of the second kind which describes the energy exchange by radiation between surfaces in R3. 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.

yearjournalcountryeditionlanguage
2003-03-01PAMM
https://doi.org/10.1002/pamm.200310191