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Calculus of Nonrigid Surfaces for Geometry and Texture Manipulation
September/October 2007 (vol. 13 no. 5)
pp. 902-913
We present a geometric framework for automatically finding intrinsic correspondence between three-dimensional nonrigid objects. We model object deformation as near isometries and find the correspondence as the minimum-distortion mapping. A generalization of multidimensional scaling is used as the numerical core of our approach. As a result, we obtain the possibility to manipulate the extrinsic geometry and the texture of the objects as vectors in a linear space. We demonstrate our method on the problems of expression-invariant texture mapping onto an animated three-dimensional face, expression exaggeration, morphing between faces, and virtual body painting.
Index Terms:
Isometric embedding, minimum-distortion mapping, generalized multidimensional scaling, correspondence problem, texture mapping, face animation, expression exaggeration, morphing, virtual dressing, virtual body painting, calculus of surfaces
Citation:
Alexander Bronstein, Michael Bronstein, Ron Kimmel, "Calculus of Nonrigid Surfaces for Geometry and Texture Manipulation," IEEE Transactions on Visualization and Computer Graphics, vol. 13, no. 5, pp. 902-913, Sept.-Oct. 2007, doi:10.1109/TVCG.2007.1041
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