LEADER 06222nam 22008295 450 001 9910768188403321 005 20251226202829.0 024 7 $a10.1007/11537908 035 $a(CKB)1000000000213177 035 $a(SSID)ssj0000318846 035 $a(PQKBManifestationID)11245868 035 $a(PQKBTitleCode)TC0000318846 035 $a(PQKBWorkID)10311914 035 $a(PQKB)11665613 035 $a(DE-He213)978-3-540-31835-4 035 $a(MiAaPQ)EBC3067676 035 $a(PPN)123096715 035 $a(BIP)12724550 035 $a(EXLCZ)991000000000213177 100 $a20100720d2005 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aMathematics of Surfaces XI $e11th IMA International Conference, Loughborough, UK, September 5-7, 2005, Proceedings /$fedited by Malcolm Sabin, Ralph Martin, Helmut Bez 205 $a1st ed. 2005. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2005. 215 $a1 online resource (X, 478 p.) 225 1 $aTheoretical Computer Science and General Issues,$x2512-2029 ;$v3604 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$aPrinted edition: 9783540282259 320 $aIncludes bibliographical references and index. 327 $aFree-Form Surface Construction in a Commercial CAD/CAM System -- Polyhedral Gauss Maps and Curvature Characterisation of Triangle Meshes -- Manifold Embedding of Graphs Using the Heat Kernel -- Detection of Surface Creases in Range Data -- Efficient Linear System Solvers for Mesh Processing -- Smoothing of Time-Optimal Feedrates for Cartesian CNC Machines -- Plausible 3D Colour Surface Completion Using Non-parametric Techniques -- Determining the Topology of Real Algebraic Surfaces -- Level Sets of Functions and Symmetry Sets of Surface Sections -- An Heuristic Analysis of the Classification of Bivariate Subdivision Schemes -- Global Curve Analysis via a Dimensionality Lifting Scheme -- Conversion of Dupin Cyclide Patches into Rational Biquadratic Bézier Form -- Multi-sided Attribute Based Modeling -- On Normals and Control Nets -- Line Subdivision -- Euclidean Voronoi Diagrams of 3D Spheres: Their Construction and Related Problems from Biochemistry -- The Importance of Polynomial Reproduction in Piecewise-Uniform Subdivision -- A Hybrid Approach to Extracting Tooth Models from CT Volumes -- Bézier Surfaces of Minimal Internal Energy -- Positivity-Preserving Scattered Data Interpolation -- Artifacts in Box-Spline Surfaces -- Spatial Pythagorean Hodograph Quintics and the Approximation of Pipe Surfaces -- Modelling Surface Normal Distribution Using the Azimuthal Equidistant Projection -- New Trends in Digital Shape Reconstruction -- Backward Errors and Condition Numbers of Regular and Singular Points on Algebraic Curves -- Approximate Rational Parameterization of Implicitly Defined Surfaces -- Convergence Analysis of Discrete Differential Geometry Operators over Surfaces -- A Marching Method for Computing Intersection Curves of Two Subdivision Solids. 330 $aThis volume collects the papers accepted for presentation at the 11th IMA Conference on the Mathematics of Surfaces, held at Loughborough University, 5th-7th September 2005. As with all earlier conferences in the series, contri- tors to this volume comefrom manycountries. The paperspresented herere'ect the interest in a subject of relevance to mathematics, engineering,and computer science, especially in domains such as computer-aided design, computer vision, and computer graphics. The papers in the present volume include eight invited papers, as well as a larger number of submitted papers. They cover a range of ideas from - derlying theoretical tools to industrial and medical uses of surfaces. The latter category includes such diverse topics as surfaces in car design, and modelling of teeth, while the former includes papers on Voronoi diagrams, linear systems, estimation of curvatures on meshes, operators on meshes, intersection of sub- vision surfaces, approximate parameterization,condition numbers, Pythagorean hodographs,artifactsinB-splinesurfaces,B´ eziersurfacesofminimalenergy,line subdivision, subdivision surfaces, level sets and symmetry, the topology of - gebraic surfaces, curve analysis, interpolation with positivity, and conversion of cyclides to NURBS. Other papers concentrate on particular algorithms arising from applications, such as embedding graphs in manifolds, recoveryof 3D shape from shading, ?nding optimal feedrates for machining, detection of creases in range data, and ?lling holes in range data. We would like to thank all those who attended the conference and helped to make it a success. 410 0$aTheoretical Computer Science and General Issues,$x2512-2029 ;$v3604 606 $aComputer vision 606 $aComputer science$xMathematics 606 $aDiscrete mathematics 606 $aMathematics$xData processing 606 $aGeometry 606 $aComputer graphics 606 $aComputer Vision 606 $aDiscrete Mathematics in Computer Science 606 $aComputational Science and Engineering 606 $aSymbolic and Algebraic Manipulation 606 $aGeometry 606 $aComputer Graphics 615 0$aComputer vision. 615 0$aComputer science$xMathematics. 615 0$aDiscrete mathematics. 615 0$aMathematics$xData processing. 615 0$aGeometry. 615 0$aComputer graphics. 615 14$aComputer Vision. 615 24$aDiscrete Mathematics in Computer Science. 615 24$aComputational Science and Engineering. 615 24$aSymbolic and Algebraic Manipulation. 615 24$aGeometry. 615 24$aComputer Graphics. 676 $a516.3/52 701 $aMartin$b R. R$g(Ralph R.)$01231833 701 $aBez$b Helmut$01759172 701 $aSabin$b M. A$g(Malcolm Arthur)$01757504 712 12$aIMA Conference on the Mathematics of Surfaces 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910768188403321 996 $aMathematics of surfaces XI$94197537 997 $aUNINA