An Adaptive Gauss Method for Computing Irradiance Coefficients of Galerkin Radiosity Systems

Abstract:

Computing energy transfer between objects is the most expensive
operation in radiosity systems. This energy transfer operation, known
as the irradiance operator, is an integral that, in general, must be
calculated numerically. We wish to increase the speed of this
computation without severely compromising fidelity and perform a study
of numerical integration techniques, $Quadrature$ $Methods$. The
results of our study show the strengths of $Gauss$ $Quadrature$
$Rules$ and give us insights into greatly reducing the cost of the
irradiance operator while maintaining accuracy. An adaptive method
for choosing Gauss quadrature rules is presented, and our performance
analysis of the new adaptive algorithm shows that it can be up to 10
times faster than previous methods.