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Geometry --- Complex analysis --- Discrete mathematics --- Mathematics --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- discrete wiskunde --- complexe analyse (wiskunde) --- grafische vormgeving --- informatica --- wiskunde --- informaticaonderzoek --- geometrie
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This 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.
Surfaces --- Geometry --- Computer Science --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Computational complexity. --- Geometry. --- Computer graphics. --- Computer science. --- Computer software. --- Software, Computer --- Informatics --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Complexity, Computational --- Algorithms. --- Computer science --- Computer mathematics. --- Computer Science. --- Discrete Mathematics in Computer Science. --- Algorithm Analysis and Problem Complexity. --- Computer Graphics. --- Math Applications in Computer Science. --- Computational Science and Engineering. --- Mathematics. --- Science --- Computer art --- Graphic arts --- Electronic data processing --- Engineering graphics --- Image processing --- Euclid's Elements --- Computer mathematics --- Discrete mathematics --- Algorism --- Algebra --- Arithmetic --- Digital techniques --- Foundations --- Computer systems --- Machine theory --- Computer science—Mathematics. --- Discrete mathematics. --- Mathematics—Data processing. --- Mathematical Applications in Computer Science. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis
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Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include fast visualization and rendering as well as coding, compression, and digital transmission of 3D geometric objects. This book marks the culmination of the four-year EU-funded research project, Multiresolution in Geometric Modelling (MINGLE). The book contains seven survey papers, providing a detailed overview of recent advances in the various fields within multiresolution modelling, and sixteen additional research papers. Each of the seven parts of the book starts with a survey paper, followed by the associated research papers in that area. All papers were originally presented at the MINGLE 2003 workshop held at Emmanuel College, Cambridge, UK, 9-11 September 2003.
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This 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.
Geometry --- Complex analysis --- Discrete mathematics --- Mathematics --- Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- Computer. Automation --- discrete wiskunde --- complexe analyse (wiskunde) --- grafische vormgeving --- informatica --- wiskunde --- informaticaonderzoek --- geometrie
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