Integration Methods for
Galerkin Radiosity Couplings
Sixth Eurographics Workshop on Rendering '95
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
a study of numerical integration techniques, known as quadrature methods.
A theoretical discussion of numerical integration is presented followed by
specific details of the studied methods.
The results of our study show
the strengths of gauss quadrature rules
and insight 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.
PostScript version of full paper without color plates.
Last update: 13 April 1995