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Quasi-isometric parameterization for texture mapping

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JournalPattern recognition
DatePublished - May 2008
Issue number5
Volume41
Number of pages12
Pages (from-to)1732-1743
Original languageEnglish

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. (c) 2007 Elsevier Ltd. All rights reserved.

    Research areas

  • texture mapping, surface parameterization, isometric mapping, locally linear embedding, multidimensional scaling, spectral decomposition, NONLINEAR DIMENSIONALITY REDUCTION, PARAMETRIZATION, EIGENMAPS, SURFACES, MESHES

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