LEADER 05243nam 22008175 450 001 996465763403316 005 20230406061147.0 010 $a3-642-03596-5 024 7 $a10.1007/978-3-642-03596-8 035 $a(CKB)1000000000772840 035 $a(SSID)ssj0000318848 035 $a(PQKBManifestationID)11243796 035 $a(PQKBTitleCode)TC0000318848 035 $a(PQKBWorkID)10311755 035 $a(PQKB)11789553 035 $a(DE-He213)978-3-642-03596-8 035 $a(MiAaPQ)EBC3064497 035 $a(PPN)139955038 035 $a(EXLCZ)991000000000772840 100 $a20100301d2009 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematics of Surfaces XIII$b[electronic resource] $e13th IMA International Conference York, UK, September 7-9, 2009 Proceedings /$fedited by Edwin R. Hancock, Ralph R. Martin, Malcolm A. Sabin 205 $a1st ed. 2009. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2009. 215 $a1 online resource (X, 409 p.) 225 1 $aTheoretical Computer Science and General Issues,$x2512-2029 ;$v5654 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-03595-7 320 $aIncludes bibliographical references and index. 327 $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. 330 $aThis book constitutes the refereed proceedings of the 13th IMA International Conference on the Mathematics of Surfaces held in York, UK in September 2009. The papers in the present volume include seven invited papers, as well as 16 submitted papers. The topics covered include subdivision schemes and their continuity, polar patchworks, compressive algorithms for PDEs, surface invariant functions, swept volume parameterization, Willmore flow, computational conformal geometry, heat kernel embeddings, and self-organizing maps on manifolds, mesh and manifold construction, editing, flattening, morphing and interrogation, dissection of planar shapes, symmetry processing, morphable models, computation of isophotes, point membership classification and vertex blends. Surface types considered encompass polygon meshes as well as parametric and implicit surfaces. 410 0$aTheoretical Computer Science and General Issues,$x2512-2029 ;$v5654 606 $aComputer science?Mathematics 606 $aDiscrete mathematics 606 $aAlgorithms 606 $aComputer graphics 606 $aGeometry 606 $aMathematics?Data processing 606 $aDiscrete Mathematics in Computer Science 606 $aAlgorithms 606 $aComputer Graphics 606 $aMathematical Applications in Computer Science 606 $aGeometry 606 $aComputational Science and Engineering 615 0$aComputer science?Mathematics. 615 0$aDiscrete mathematics. 615 0$aAlgorithms. 615 0$aComputer graphics. 615 0$aGeometry. 615 0$aMathematics?Data processing. 615 14$aDiscrete Mathematics in Computer Science. 615 24$aAlgorithms. 615 24$aComputer Graphics. 615 24$aMathematical Applications in Computer Science. 615 24$aGeometry. 615 24$aComputational Science and Engineering. 676 $a004 686 $aMAT 533f$2stub 686 $aSS 4800$2rvk 702 $aHancock$b Edwin R$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMartin$b Ralph R$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSabin$b Malcolm A$4edt$4http://id.loc.gov/vocabulary/relators/edt 712 12$aIMA Conference on the Mathematics of Surfaces 906 $aBOOK 912 $a996465763403316 996 $aMathematics of Surfaces XIII$9774239 997 $aUNISA