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Title:Quadrilateral Remeshing and Efficient Surface Parameterization
Author(s):Dong, Shen
Doctoral Committee Chair(s):Michael Garland
Department / Program:Computer Science
Discipline:Computer Science
Degree Granting Institution:University of Illinois at Urbana-Champaign
Subject(s):Computer Science
Abstract:In the third part, we deal explicitly with the problem of surface parameterization. We present two complementary methods for automatically improving mesh parameterization, and demonstrate that they provide a desirable combination of efficiency and quality. First, we describe a new iterative method for constructing quasi-conformal parameterizations with free boundaries. We formulate the problem as fitting the coordinate gradients to two guidance vector fields of equal magnitude that are everywhere orthogonal. In only one linear step, our method efficiently generates parameterization with natural boundaries from those with convex boundaries. Next, we introduce a new non-linear optimization framework that, can rapidly reduce interior distortion under a variety of metrics. By iteratively solving linear systems, our algorithm converges to a high quality, low distortion parameterization in very few iterations.
Issue Date:2007
Description:104 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.
Other Identifier(s):(MiAaPQ)AAI3301127
Date Available in IDEALS:2015-09-25
Date Deposited:2007

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