Computational Conformal Geometry

Computational conformal geometry is an emerging inter-disciplinary field, with applications to algebraic topology, differential geometry and Riemann surface theories applied to geometric modeling, computer graphics, computer vision, medical imaging, visualization, scientific computation, and many other engineering fields.

This new volume presents thorough introductions to the theoretical foundations -- as well as to the practical algorithms -- of computational conformal geometry. These have direct applications to engineering and digital geometric processing, including surface parameterization, surface matching, brain mapping, 3-D face recognition and identification, facial expression and animation, dynamic face tracking, mesh-spline conversion, and more.

Supplemental materials are available online.

2016 softcover re-issue. Originally published in 2008 under ISBN 9781571461711 (hardcover).

Xianfeng David Gu received his PhD from Harvard University in 2003, having studied under Shing-Tung Yau and Steven Gortler. He is the recipient of a National Science Foundation Career Award (2004-2009), has held teaching posts at the University of Florida (2003-2004), and is currently an Assistant Professor at the State University of New York at Stony Brook. His research interests include differential geometry, algebraic topology, and especially computational conformal geometry -- with applications to computer graphics, computer vision, medical imaging, geometric modeling, and visualization.

Shing-Tung Yau is the William Caspar Graustein Professor of Mathematics at Harvard University. He was an Adjunct Professor of Mathematics at the Chinese University of Hong Kong (1994-2003), Chancellor Associate Chair and Professor at the University of California at San Diego (1984-1987), Professor at the Institute for Advanced Study at Princeton University (1979-1984), and Professor at Stanford University (1974-1979). He received the Fields Medal in 1982, the Crafoord Prize in 1994, and the National Medal of Science in 1997.