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020 _a9783642035968
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024 7 _a10.1007/978-3-642-03596-8
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050 4 _aQA297.4
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082 0 4 _a004.0151
_223
245 1 0 _aMathematics of Surfaces XIII
_h[electronic resource] :
_b13th IMA International Conference York, UK, September 7-9, 2009 Proceedings /
_cedited by Edwin R. Hancock, Ralph R. Martin, Malcolm A. Sabin.
250 _a1st ed. 2009.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2009.
300 _aX, 409 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
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347 _atext file
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490 1 _aTheoretical Computer Science and General Issues,
_x2512-2029 ;
_v5654
505 0 _aComputing Isophotes on Free-Form Surfaces Based on Support Function Approximation -- Swept Volume Parameterization for Isogeometric Analysis -- Numerical Checking of C 1 for Arbitrary Degree Quadrilateral Subdivision Schemes -- The Invariant Functions of the Rational Bi-cubic Bézier Surfaces -- Crazy Cuts: Dissecting Planar Shapes into Two Identical Parts -- Piecewise Rational Manifold Surfaces with Sharp Features -- Deriving Box-Spline Subdivision Schemes -- Geometric Characterizations of Graphs Using Heat Kernel Embeddings -- Compressive Algorithms-Adaptive Solutions of PDEs and Variational Problems -- Symmetry-Aware Mesh Processing -- Recent Advances in Computational Conformal Geometry -- Finite Curvature Continuous Polar Patchworks -- A New Approach to Point Membership Classification in B-rep Solids -- Probabilistic Modeling and Visualization of the Flexibility in Morphable Models -- Parameterizing Singularities of Positive Integral Index -- Two Step Time Discretization of Willmore Flow -- Surface Triangulation and the Downstream Effects on Flattening -- On Mesh Editing, Manifold Learning, and Diffusion Wavelets -- Gradient Approximation on Uniform Meshes by Finite Differences and Cubic Spline Interpolation -- Metric Methods in Surface Triangulation -- Setback Vertex Blends in Digital Shape Reconstruction -- Learning a Self-organizing Map Model on a Riemannian Manifold -- Surface Quasi-Conformal Mapping by Solving Beltrami Equations.
520 _aThis book constitutes the refereed proceedings of the 13th IMA International Conference on the Mathematics of Surfaces held in York, UK in September 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 flow, computational conformal geometry, heat kernel embeddings, and self-organizing maps on manifolds, mesh and manifold construction, editing, flattening, morphing 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.
650 0 _aComputer science
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650 0 _aAlgorithms.
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650 0 _aMathematics
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650 1 4 _aDiscrete Mathematics in Computer Science.
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650 2 4 _aAlgorithms.
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650 2 4 _aComputer Graphics.
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650 2 4 _aMathematical Applications in Computer Science.
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650 2 4 _aGeometry.
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650 2 4 _aComputational Science and Engineering.
_9127178
700 1 _aHancock, Edwin R.
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700 1 _aMartin, Ralph R.
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700 1 _aSabin, Malcolm A.
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