Discontinuity Meshing and Hierarchical MultiWavelet Radiosity

In this paper we propose an extension to the work of Lischinski et al [1] on combining hierarchical radiosity method and discontinuity meshing. The extension proposed here supports higher order radiosity function at the es timation s tep itself. We have carried out this extension using M ultiWavelet basis function s. Unlike th e multi-wavelet radiosity work of Gortler et al [2] which uses reg ular quad-tree subdivision , we carry out the subdivision along the discontinuity boundary. In other words , inst ead of deriving the fin er basis functions by uniform parametric dilations of a mother basis function , we derive the finer basis by mapping the mother basis to arbitrary subdomains created during the subdivision along th e discontinuity boundary. To carry out push and pull operations, which are crucial to the hierarchical algorithm, we compute the necessary filter functions. Our method combines th e advantages of wavelet radiosity and discontinuity meshing . The preliminary result shows signifi cant computational improvement.