Title:	Least squares affine transitions for global parameterization
Authors:	Vintescu, Ana Maria Dupont, Florent Lavoué, Guillaume
Citation:	Journal of WSCG. 2017, vol. 25, no. 1, p. 21-30.
Issue Date:	2017
Publisher:	Václav Skala - UNION Agency
Document type:	článek article
URI:	wscg.zcu.cz/WSCG2017/!_2017_Journal_WSCG-No-1.pdf http://hdl.handle.net/11025/26277
ISSN:	1213-6972 (print) 1213-6980 (CD-ROM) 1213-6964 (on-line)
Keywords:	povrchová parametrizace;zpracování geometrie;trojúhelníkové sítě;roztahování oka
Keywords in different language:	surface parameterization;geometry processing;triangular mesh;mesh unfolding
Abstract in different language:	This paper presents an efficient algorithm for a global parameterization of triangular surface meshes. In contrast to previous techniques which achieve global parameterization through the optimization of non-linear systems of equations, our algorithm is solely based on solving at most two linear equation systems, in the least square sense. Therefore, in terms of running time the unfolding procedure is highly efficient. Our approach is direct – it solves for the planar UV coordinates of each vertex directly – hence avoiding any numerically challenging planar reconstruction in a post-process. This results in a robust unfolding algorithm. Curvature prescription for user-provided cone singularities can either be specified manually, or suggested automatically by our approach. Experiments on a variety of surface meshes demonstrate the runtime efficiency of our algorithm and the quality of its unfolding. To demonstrate the utility and versatility of our approach, we apply it to seamless texturing. The proposed algorithm is computationally efficient, robust and results in a parameterization with acceptable metric distortion.
Rights:	© Václav Skala - UNION Agency
Appears in Collections:	Volume 25, Number 1 (2017)

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