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Adaptive Mesh Generation for Radiosity Methods

The radiosity method is one of the main approaches to the generation of realistic images. The generation of accurate radiosity solutions imposes numerous constraints on the input data. Generally, a radiosity pipeline can be subidivided into modeling, preprocessing, mesh generation, radiosity solution and display. This thesis investigates the modeling requirements for valid radiosity solutions, reviews existing mesh generation algorithms for finite element methods, and introduces a new mesh generation algorithm for interactive radiosity approaches. The algorithm consists of a spatial decomposition by a modified quadtree and a subdomain meshing by removal of individual patches. It runs in O(n) time, with n being the number of generated patches. The use of a tree structure allows one to increase and decrease the density of the generated mesh locally and makes the mesh generator capable of adapting the mesh to the current lighting situation. This makes the proposed algorithm suitable for adaptive refinement and interactive radiosity solutions.