Quasi-isometric parameterization for texture mapping

Sun, Xianfang ORCID: https://orcid.org/0000-0002-6114-0766 and Hancock, Edwin R. 2008. Quasi-isometric parameterization for texture mapping. Pattern Recognition 41 (5) , pp. 1732-1743. 10.1016/j.patcog.2007.10.027

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Abstract

In this paper, we present a new 3D triangular mesh parameterization method that is computationally efficient and yields minimized distance errors. The method has four steps. Firstly, multidimensional scaling (MDS) is used to flatten each submesh consisting of one vertex and its direct neighbours on the 3D triangular mesh. Secondly, an optimal method is used to compute the linear reconstructing weights of each vertex with respect to its neighbours. Thirdly, a spectral decomposition method is used to obtain initial 2D parameterization coordinates. Fourthly, the initial coordinates are rotated and scaled to minimize the distance errors. It is demonstrated that this method can be used for texture mapping. Analyses and examples show the effectiveness of this parameterization method compared with alternatives.

Item Type:	Article
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics
Additional Information:	Texture mapping; Surface parameterization; Isometric mapping; Locally linear embedding; Multidimensional scaling; Spectral decomposition
Publisher:	Elsevier
ISSN:	0031-3203
Last Modified:	18 Oct 2022 13:31
URI:	https://orca.cardiff.ac.uk/id/eprint/14181

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