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Ya-Shu Liu, Han-Bing Yan, Ralph R. Martin. As-Rigid-As-Possible Surface Morphing[J]. Journal of Computer Science and Technology, 2011, 26(3): 548-557. DOI: 10.1007/s11390-011-1154-3
Citation: Ya-Shu Liu, Han-Bing Yan, Ralph R. Martin. As-Rigid-As-Possible Surface Morphing[J]. Journal of Computer Science and Technology, 2011, 26(3): 548-557. DOI: 10.1007/s11390-011-1154-3

As-Rigid-As-Possible Surface Morphing

  • 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.
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