Mathematics of Surfaces XIII: 13th Ima International Conference York, Uk, September 7-9, 2009 Proceedings

ISBN-13: 9783642035951 / Angielski / Miękka / 2009 / 420 str.

Edwin R. Hancock

Opis

This volume collects the papers accepted for presentation at the 13th IMA C- ference on the Mathematics of Surfaces, held at the University of York, UK September 7-9, 2009. Contributors to this volume include authors from many countries in America, Asia, and Europe. The papers presented here re?ect the applicability of mathematics of surfaces to engineering and computer science, especially in domains such as computer-aided design, computer vision, and c- puter graphics. The papers in the present volume include seven invited papers, as well as a larger number of submitted papers. They cover a range of ideas from under- ing theory of surfaces to practical tools, and industrial applications of surfaces. Surface types considered encompass polygon meshes as well as parametric and implicitsurfaces.Topicsprovidingatheoreticalbasisincludesubdivisionschemes and their continuity, polar patchworks, compressive algorithms for PDEs, s- face invariant functions, swept volume parameterization, Willmore ?ow, com- tational conformal geometry, heat kernel embeddings, and self-organizing maps on manifolds. Toward the practical and applied end of the scale, papers cover such issues as mesh and manifold construction, editing, ?attening, morphing and interrogation, dissection of planar shapes, symmetry processing, morphable models, computation of isophotes, point membership classi?cation and vertex blends. We would like to thank all those who attended the conference and helped to makeit a success, especially the keynotespeaker, the renownedField's Medallist Shing-Tung Yau from Harvard University, as well as the other invited speakers whose contributions were a highlight of the meeting.

Spis treści

Computing 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.

O autorze

Malcolm Sabin worked on representation of aircraft shapes at British Aircraft Corporation in the late 1960s, there developing one of the earliest modern surface systems.

Blurb

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.