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Item GPU-based Evaluation of Boolean Operations on Triangulated Solids(The Eurographics Association, 2006) Ogayar, Carlos Javier; Feito, Francisco R.; Segura, Rafael J.; Rivero, Marilina; Pere Brunet and Nuno Correia and Gladimir BaranoskiThis paper presents a robust method for evaluating boolean operations on triangle meshes. It is based on a fast and reliable point-in-solid algorithm that works with B-Rep representations. With this method, several boolean operations can be performed with almost the same processing cost as a single boolean operation. Moreover, the presented approach can take advantage of the modern programable graphics hardware.Item Adaptive trimming of cubic triangular Bézier patches(The Eurographics Association, 2006) García, Ángel Luis; Miras, Juan Ruiz de; Feito, Francisco R.; Pere Brunet and Nuno Correia and Gladimir BaranoskiWe present a method to handle cubic trimmed triangular Bézier patches. This scheme makes use of levels of detail and surface subdivision to achieve a fast and flexible hierarchical data structure that is specially useful to compute surface intersections in a robust and efficient way. The accuracy of the results can be adjusted by adding or subtracting elements to the levels of detail hierarchy, and it is also easy to obtain a decomposition of a trimmed patch into single triangular Bézier patches.