Michael Pauley

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Motivated by the discretization problem in isogeometric analysis, we consider the challenge of segmenting a contractible boundary-represented solid into a small number of topological hexahedra. A satisfactory segmentation of a solid must eliminate non-convex edges because they prevent regular parameterizations. Our method works by searching a sufficiently(More)
• Segmentation of a 3D solid without non-convex edges into topological hexahedra. • Method is based on the edge graph of the solid. • Decomposition is done by means of simple combinatorial and geometric criteria. • Number of resulting topological hexahedra is small. a b s t r a c t We present a novel technique for segmenting a three-dimensional solid with a(More)
The finite flag-transitive linear spaces which have an insoluble automorphism group were given a precise description in [BDD + 90], and their classification has recently been completed (see [Lie98] and [Sax02]). However, the remaining case where the automorphism group is a subgroup of one-dimensional affine transformations has not been classified and bears(More)
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