Spherical Parameterization of Genus-Zero Meshes Using the Lagrange-Newton Method

作     者：Ying Li,Zhouwang Yang,Jiansong Deng Department of Mathematics,University of Science and Technology of China,Hefei 230026,China 

会议名称：《2007 10th IEEE International Conferences on Computer Aided Design and Computer Graphics(CAD/Graphics 2007)》

会议日期：2007年

学科分类：1305[艺术学-设计学（可授艺术学、工学学位）] 13[艺术学] 08[工学] 080203[工学-机械设计及理论] 081304[工学-建筑技术科学] 0802[工学-机械工程] 0813[工学-建筑学] 080201[工学-机械制造及其自动化] 

关 键 词：Newton Spherical Parameterization of Genus-Zero Meshes Using the Lagrange-Newton Method PHT Lagrange 

摘      要：This paper addresses the problem of spherical parameterization,i.e.,mapping a given polygonal surface of genus-zero onto a unit *** exist some methods to deal with the problem in *** the paper,we construct an improved algorithm for parameterization of genus-zero meshes and aim to obtain high-quality surfaces fitting with *** parameterization consists of minimizing discrete harmonic energy subject to spherical constraints and solving the constrained optimization by the Lagrange-Newton *** also present several examples which show that parametric surfaces of PHT-splines can be constructed adaptively and efficiently to fit given meshes associated with our parameterization results.