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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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0302-9743 eptember 2009. The papers in the present volume include seven invited papers, as well as 16 submitted papers. The topics covered include subdivision schemes and their continuity, polar patchworks, compressive algorithms for PDEs, surface invariant functions, swept volume parameterization, Willmore f
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Swept Volume Parameterization for Isogeometric Analysis, as blades of turbines and propellers, ship hulls or wings of airplanes. The second part of the paper reports the results of isogeometric analysis which were obtained with the help of the generated NURBS volume parameterizations. In particular we discuss the influence of the chosen parameterization and the incorporation of boundary conditions.
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Piecewise Rational Manifold Surfaces with Sharp Features,s 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 manifold construction and follows the blending approach.
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On Mesh Editing, Manifold Learning, and Diffusion Wavelets,oth naive Laplacian editing and gradient based editing as special cases. GLE allows using diffusion wavelets for mesh editing. We present preliminary experiments, and shortly discuss connections to segmentation.
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Conference proceedings 2009ing and interrogation, dissection of planar shapes, symmetry processing, morphable models, computation of isophotes, point membership classification and vertex blends. Surface types considered encompass polygon meshes as well as parametric and implicit surfaces.
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Geometric Characterizations of Graphs Using Heat Kernel Embeddings,c and Euclidean distances between nodes to associate a sectional curvature with edges. Once the section curvatures are to hand then the Gauss-Bonnet theorem allows us to compute Gaussian curvatures at nodes on the graph. We explore how the attributes furnished by this analysis can be used to match and cluster graphs.
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,Compressive Algorithms—Adaptive Solutions of PDEs and Variational Problems,y constraints. We stress how compressive algorithms can stem from variational principles. We illustrate the main results and applications by a few significant numerical examples. We conclude by pointing out future developments.
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