Mathematics of Surfaces XII

Mathematics of Surfaces XII
This volume collects the papers accepted for presentation at the 12th IMA C- ference on the Mathematics of Surfaces, held at Ranmoor Hall, She?eld, UK, September, 4–6, 2007. Contributors to this volume include authors from many countries in America, Asia, and Europe. The papers presented here re?ect the applicability of various aspects of mathematics to engineering and computer s- ence, especially in domains such as computer-aideddesign, 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 underlying theoretical tools to industrial uses of surfaces. Surface types considered range from meshes to parametric and implicit surfaces; some papers investigate g- eral classes of surfaces while others focus more speci?cally on surfaces such as developable surfaces and Dupin’s cyclides. Research is reported on theoretical aspects of surfaces including topology, parameterization, di?erential geometry, and conformal geometry, and also more practical topics such as geometric t- erances, computing shape from shading, and medial axes for industrial appli- tions. Other speci?c areas of interest include subdivision schemes, solutions of di?erential equations on surfaces, knot insertion, surface segmentation, surface deformation, and surface ?tting. We would like to thank all those who attended the conference and helped to make it a success.