January 24, 2008
David Gu (Stony Brook University)
Title: Computational Conformal Geometry, Algorithms and Applications
Abstract: Computational conformal geometry is an interdisciplinary field, combining modern geometry theories from pure mathematics with computational algorithms from computer science. Computational conformal geometry offers many powerful tools to handle a broad range of geometric problems in engineering fields. This work summarizes our research results in the past years. We have introduced efficient and robust algorithms for computing conformal structures of surfaces acquired from the real life, which are based on harmonic maps, holomorphic differential forms and surface Ricci flow. We have applied conformal geometric algorithms in computer graphics, computer vision, geometric modeling and medical imaging.