Abstract
A new formula for accurately evaluating form-factors based on the analytic solution is presented. Each receiving patch is divided into three parts, namely the totally lit area, the umbra area, and the approximative penumbra area, according to its relative position to the source patch. The precise form-factor from the source patch to any sample point in the totally lit area is calculated and a corresponding amount of light energy is transferred. The totally lit area is divided further into subpatches if the difference of radiosity at its vertices exceeds a given threshold. For a sample point in the approximative penumbra area, the exact area on the source patch that can be seen from the sample point is determined by projecting the in-between surface patches onto the source patch. The exact amount of light energy transferred from the source to this sample point can then be estimated. The requirement for a better interpolation scheme for rendering is highlighted.
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