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<p><b>Abstract</b>—Two important tools for manipulating polygonal models are simplification and repair and we present voxel-based methods for performing both of these tasks. We describe a method for converting polygonal models to a volumetric representation in a way that handles models with holes, double walls, and intersecting parts. This allows us to perform polygon model repair simply by converting a model to and from the volumetric domain. We also describe a new topology-altering simplification method that is based on 3D morphological operators. Visually unimportant features such as tubes and holes may be eliminated from a model by the <it>open</it> and <it>close</it> morphological operators. Our simplification approach accepts polygonal models as input, scan converts these to create a volumetric description, performs topology modification, and then converts the results back to polygons. We then apply a topology-preserving polygon simplification technique to produce a final model. Our simplification method produces results that are everywhere manifold.</p>
Mesh simplification, mesh repair, volumetric models, morphological operators.

G. Turk and F. S. Nooruddin, "Simplification and Repair of Polygonal Models Using Volumetric Techniques," in IEEE Transactions on Visualization & Computer Graphics, vol. 9, no. , pp. 191-205, 2003.
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