Titlebook: Mathematics of Surfaces XIII; 13th IMA Internation Edwin R. Hancock,Ralph R. Martin,Malcolm A. Sabin Conference proceedings 2009 Springer-V

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Piecewise Rational Manifold Surfaces with Sharp Features,or cusps. The surface is automatically generated from a given closed triangular mesh. Some of the edges are tagged as sharp ones, defining the features on the surface. The surface is . smooth, for an arbitrary value of ., except for the sharp features defined by the user. Our method is based on the

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Deriving Box-Spline Subdivision Schemes,ution methods of deriving the same. We show how the arrow method provides a useful graphical alternative to the three numerical methods. We demonstrate the properties that can be derived easily using the arrow method: mask, stencils, continuity in regular regions, safe extrusion directions. We deriv

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,Compressive Algorithms—Adaptive Solutions of PDEs and Variational Problems,ow for dimensionality reductions when used to solve large scale problems. We call this class of numerical methods .. The introduction of this paper presents an historical excursus on the developments of the main ideas behind compressive algorithms and stresses the common features of diverse applicat

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Symmetry-Aware Mesh Processing,gorithms generally ignore them, instead focusing on local shape features and differential surface properties. This paper investigates how detection of large-scale symmetries can be used to guide processing of 3D meshes. It investigates a framework for mesh processing that includes steps for symmetri

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Recent Advances in Computational Conformal Geometry,. In this work, we briefly summarize the recent developments for methods and related applications in computational conformal geometry. There are two major approaches, holomorphic differentials and curvature flow. The holomorphic differential method is a linear method, which is more efficient and rob

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Finite Curvature Continuous Polar Patchworks,oduct patches, each of degree 6 in the periodic and degree 5 in the radial direction. To match the polar layout, one edge of these patches is collapsed..We explore and compare with alternative constructions, based on more pieces or using total-degree, triangular patches.

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Probabilistic Modeling and Visualization of the Flexibility in Morphable Models,searchers have started to build models of almost any anatomical structure in the human body. While these models provide a useful prior for many image analysis task, relatively little information about the shape represented by the morphable model is exploited. We propose a method for computing and vi

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