期刊
IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS
卷 13, 期 5, 页码 902-913出版社
IEEE COMPUTER SOC
DOI: 10.1109/TVCG.2007.1041
关键词
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
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.
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