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Rigid Shape Interpolation Using Normal Equations

William Baxter 1 Pascal Barla 2, 3 Ken-Ichi Anjyo 1
2 IPARLA - Visualization and manipulation of complex data on wireless mobile devices
Université Sciences et Technologies - Bordeaux 1, Inria Bordeaux - Sud-Ouest, École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB), CNRS - Centre National de la Recherche Scientifique : UMR5800
Abstract : In this paper we provide a new compact formulation of rigid shape interpolation in terms of normal equations, and propose several enhancements to previous techniques. Specifically, we propose 1) a way to improve mesh independence, making the interpolation result less influenced by variations in tessellation, 2) a faster way to make the interpolation symmetric, and 3) simple modifications to enable controllable interpolation. Finally we also identify 4) a failure mode related to large rotations that is easily triggered in practical use, and we present a solution for this as well.
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https://hal.inria.fr/inria-00360532
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William Baxter, Pascal Barla, Ken-Ichi Anjyo. Rigid Shape Interpolation Using Normal Equations. Proc. Non-Photorealistic Animation and Rendering, Jun 2008, Annecy, France. ⟨inria-00360532⟩

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