A Dynamical Quadtree Hierarchical Radiosity Algorithm in Thermal Radiation Modelling

We introduce a new approach for the computation of thermal radiation problems in complex scenes based on a dynamical hierarchial concept. In thermal radiation research this is the first approach including the concept of hierarchical radiosity, while in computer graphics the application of radiosity to no-linear problems, as occur in thermal radiation due to the T4 dependency of the emissive flux, is also a matter of interest. In this paper thermal radiation (TR) and computer graphics (CG) research concerning radiosity are reviewed, with special emphasis on no-grey surfaces and hierarchical methods. The proposed method allows a faster convergence of the energy equation. Benefits are quantified in a test case in relation to the traditional regular mesh discretization algorithm