| 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: | 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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