An Adaptive Gauss Method for Computing Irradiance Coefficients of Galerkin Radiosity Systems
Report ID: TR-485-95Author: Gershbein, Reid
Date: 1995-02-00
Pages: 11
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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.