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  • Harmonic Coordinates - Pixar
    We show that harmonic coordinates possess several properties that make them more attrac-tive than mean value coordinates when used to define two and three dimensional deformations Keywords: Barycentric coordinates, mean value coordinates,free form deformations, rigging
  • Biharmonic Coordinates for Shape Deformation - USI
    Barycentric coordinates provide a convenient way to deform shapes or to pose characters Harmonic coordinates in particular, have a long list of desirable properties We derive a natural generalization called biharmonic coordinates, with the additional ability to interpolate boundary derivative data Second order barycentric coordinates
  • Complex Barycentric Coordinates with Applications to Planar . . .
    Complex barycentric coordinates are especially useful for 2D shape and image deformation In a typical applica-tion scenario, the user defines a source contour, usually a polygon, and deforms it to a target contour by moving its vertices
  • Linear Subspace Design for Real-Time Shape Deformation
    We propose a method to design linear deformation subspaces, uni-fying linear blend skinning and generalized barycentric coordi-nates Deformation subspaces cut down the time complexity of variational shape deformation methods and physics-based anima-tion (reduced-order physics)
  • Poisson Coordinates - Tsinghua University
    Poisson coordinates are an extension of the Mean Value coordinates (MVCs) which inherit their linear precision, smoothness, and kernel positivity We give explicit formulas for Poisson
  • Harmonic coordinates for character articulation | ACM . . .
    The cage can optionally be augmented with additional interior vertices, edges, and faces to more precisely control the interior behavior of the deformation We show that harmonic coordinates are generalized barycentric coordinates that can be extended to any dimension





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