Paul S. Heckbert. Simulating Global Illummatio Using Adaptive Meshing. PhD thesis, Uni- versity of California, Berkeley, June 1991.  Home/Search   Document Not in Database   Summary   Related Articles

....method is that it can easily accomodate differential operators by means of finite difference approximations. This makes it readily applicable to problems involving participating media. The finite basis approaches have been the most prevelant in global illumination partic ularly collocation [14]. The most important defining feature of any finite basis method is the choice of basis functions u, u, X, and in the case of collocation, the collocation points x, x, D. Given the basis functions, the task is to compute the coefficients , This ultimately reduces to solving a ....

....resulting expressions for (Kui[ uj require quadruple integrals, yet their support is limited to the pair of patches involved, making the computation of the inner products feasible. Heckbert attacked the diffuse case using the finite element method, which is a special case of the Galerkin method [14] in which the basis functions have very local support. The advantage of finite elements in global illumination is that the element boundaries can be used to more accurately model discontinuities of various orders in the radiance functions. Thus, the emphasis here is on increased accuracy as ....

Paul S. Heckbert. Simulating Global Illummatio Using Adaptive Meshing. PhD thesis, Uni- versity of California, Berkeley, June 1991.

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