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As-Rigid-As-Possible Surface Morphing

Liu, Ya-Shu, Yan, Han-Bing and Martin, Ralph Robert 2011. As-Rigid-As-Possible Surface Morphing. Journal of Computer Science and Technology 26 (3) , pp. 548-557. 10.1007/s11390-011-1154-3

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Abstract

This paper presents a new morphing method based on the “as-rigid-as-possible” approach. Unlike the original as-rigid-as-possible method, we avoid the need to construct a consistent tetrahedral mesh, but instead require a consistent triangle surface mesh and from it create a tetrahedron for each surface triangle. Our new approach has several significant advantages. It is much easier to create a consistent triangle mesh than to create a consistent tetrahedral mesh. Secondly, the equations arising from our approach can be solved much more efficiently than the corresponding equations for a tetrahedral mesh. Finally, by incorporating the translation vector in the energy functional controlling interpolation, our new method does not need the user to arbitrarily fix any vertex to obtain a solution, allowing artists automatic control of interpolated mesh positions.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Uncontrolled Keywords: morphing – simplex – transformation – interpolation
Additional Information: PDF uploaded in accordance with publisher's policy http://www.springer.com/gp/open-access/authors-rights/self-archiving-policy/2124 [accessed 13/04/2015] The final publication is available at Springer via http://dx.doi.org/10.1007/s11390-011-1154-3
Publisher: Springer
ISSN: 1000-9000
Funders: EPSRC
Last Modified: 04 Jun 2017 17:02
URI: http://orca-mwe.cf.ac.uk/id/eprint/11422

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