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:	13 Nov 2024 20:00
URI:	https://orca.cardiff.ac.uk/id/eprint/11422

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