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.
Author(s): M. Aigner, L. Gonzalez-Vega, B. Jüttler, M. L. Sampoli (auth.), Edwin R. Hancock, Ralph R. Martin, Malcolm A. Sabin (eds.)
Series: Lecture Notes in Computer Science 5654 : Theoretical Computer Science and General Issues
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2009
Language: English
Pages: 409
Tags: Discrete Mathematics in Computer Science; Algorithm Analysis and Problem Complexity; Computer Graphics; Math Applications in Computer Science; Geometry; Computational Science and Engineering
Front Matter....Pages -
Computing Isophotes on Free-Form Surfaces Based on Support Function Approximation....Pages 1-18
Swept Volume Parameterization for Isogeometric Analysis....Pages 19-44
Numerical Checking of C 1 for Arbitrary Degree Quadrilateral Subdivision Schemes....Pages 45-54
The Invariant Functions of the Rational Bi-cubic Bézier Surfaces....Pages 55-74
Crazy Cuts: Dissecting Planar Shapes into Two Identical Parts....Pages 75-89
Piecewise Rational Manifold Surfaces with Sharp Features....Pages 90-105
Deriving Box-Spline Subdivision Schemes....Pages 106-123
Geometric Characterizations of Graphs Using Heat Kernel Embeddings....Pages 124-142
Compressive Algorithms—Adaptive Solutions of PDEs and Variational Problems....Pages 143-169
Symmetry-Aware Mesh Processing....Pages 170-188
Recent Advances in Computational Conformal Geometry....Pages 189-221
Finite Curvature Continuous Polar Patchworks....Pages 222-234
A New Approach to Point Membership Classification in B-rep Solids....Pages 235-250
Probabilistic Modeling and Visualization of the Flexibility in Morphable Models....Pages 251-264
Parameterizing Singularities of Positive Integral Index....Pages 265-277
Two Step Time Discretization of Willmore Flow....Pages 278-292
Surface Triangulation and the Downstream Effects on Flattening....Pages 293-306
On Mesh Editing, Manifold Learning, and Diffusion Wavelets....Pages 307-321
Gradient Approximation on Uniform Meshes by Finite Differences and Cubic Spline Interpolation....Pages 322-334
Metric Methods in Surface Triangulation....Pages 335-355
Setback Vertex Blends in Digital Shape Reconstruction....Pages 356-374
Learning a Self-organizing Map Model on a Riemannian Manifold....Pages 375-390
Surface Quasi-Conformal Mapping by Solving Beltrami Equations....Pages 391-408
Back Matter....Pages -
