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Harmonic Coordinates for Character Articulation Pushkar Joshi, Mark Meyer, Tony D. DeRose, Brian Green, Tom Sanocki August 2007 In this paper we consider the problem of creating and controlling volume deformations used to articulate characters for use in high-end applications such as computer generated feature films. We introduce a method we call harmonic coordinates that significantly improves upon existing volume deformation techniques. Our deformations are controlled using a topologically flexible structure, called a cage, ... [more] Available in Siggraph 2007. Available as Pixar Technical Memo #06-02b |
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Harmonic Coordinates Tony D. DeRose, Mark Meyer January 2006 Generalizations of barycentric coordinates in two and higher dimensions have been shown to have a number of applications in recent years, including finite element analysis, the definition of S-patches (n-sided generalizations of Bezier surfaces), free-form deformations, mesh parametrization, and interpolation. In this paper we present a new form of d ... [more] Additional materials: [movie.mp4] Available as Pixar Technical Memo #06-02 |