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The radiosity equation occurs in computer graphics, and its solution leads to more realistic illumination for the display of surfaces. We consider the behavior of the radiosity integral operator, for smooth and piecewise smooth surfaces. A collocation method for solving the radiosity equa- tion is proposed and analyzed. The method uses piecewise linear interpolation; and for one particular choice of such lin- ear interpolation, it is shown that superconvergence results are obtained when solving on a smooth surface. Numerical results conclude the paper.

The Collocation Method for Solving the Radiosity Equation for Unoccluded Surfaces