Edwin R. Hancock

Ralph R. Martin

Malcolm A. Sabin

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.

13th IMA International Conference York, UK, September 7-9, 2009 Proceedings

Mathematics of Surfaces XIII

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.

Michael J. Wilson

This book constitutes the refereed proceedings of the 10th IMA International Conference on the Mathematics of Surfaces, held in Leeds, UK in September 2003. The 25 revised full papers presented were carefully reviewed and selected from numerous submissions. Among the topics addressed are triangulated surface parameterization, bifurcation structures, control vertex computation, polyhedral surfaces, watermarking 3D polygonal meshed, subdivision surfaces, surface reconstruction, vector transport, shape from shading, surface height recovery, algebraic surfaces, box splines, the Plateau-Bezier problem, spline geometry, generative geometry, manifold representation, affine arithmetic, and PDE surfaces.

Ralph R. Martin

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