Multiresolution Computation of Conformal Structures of Surfaces

An efficient multiresolution method to compute global conformal structures of nonzero genus triangle meshes is introduced. The homology, cohomology groups of meshes are computed explicitly, then a basis of harmonic one forms and a basis of holomorphic one forms are constructed. A progressive mesh is...

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Bibliographic Details
Main Authors: Xianfeng Gu, Yalin Wang, Shing-Tung Yau
Format: Article
Language:English
Published: International Institute of Informatics and Cybernetics 2003-10-01
Series:Journal of Systemics, Cybernetics and Informatics
Online Access:http://www.iiisci.org/Journal/CV$/sci/pdfs/P498546.pdf