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3D triangular mesh parametrization using Locally Linear Embedding

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JournalCOMPUTER ANALYSIS OF IMAGES AND PATTERNS, PROCEEDINGS
DatePublished - 2005
Volume3691
Number of pages8
Pages (from-to)96-103
Original languageEnglish

Abstract

In this paper we describe a new mesh parametrization method which combines the mean value coordinates and the Locally Linear Embedding (LLE) method. The mean value method is extended to compute the linearly reconstructing weights of both the interior and the boundary vertices of a 3D triangular mesh, and the weights are further used in the LLE algorithm to compute the vertex coordinates of a 2D planar triangular mesh parametrization. Examples are provided to show the effectiveness of this parametrization method.

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