2007
DOI: 10.1145/1239451.1239522
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Harmonic coordinates for character articulation

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Cited by 103 publications
(178 citation statements)
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“…Ju et al [12] presented a surface deformation technique based on these coordinates. Joshi et al [13] and later Lipman et al [27] presented alternative coordinates which are non-negative.…”
Section: Rotations Is the Keymentioning
confidence: 99%
“…Ju et al [12] presented a surface deformation technique based on these coordinates. Joshi et al [13] and later Lipman et al [27] presented alternative coordinates which are non-negative.…”
Section: Rotations Is the Keymentioning
confidence: 99%
“…A common way to reduce computational cost is to build a similar but simple structure with much fewer vertices first [1][2][3][4][5] , and then manipulate the dense model through the simpler structure. Much deformation work [6][7][8][9][10][11] performed deformations with such simpler structures (2D polygons for 2D models; 3D triangular meshes for 3D models). These simple structures, which envelop the original dense models, are called cages.…”
Section: Introductionmentioning
confidence: 99%
“…According to [6,[8][9], a cage should have the following two properties: 1) enveloping the original model; 2) no self-intersections. A cage is considered better if it has fewer vertices and it is more similar to the original model.…”
Section: Introductionmentioning
confidence: 99%
“…The authors in [27] introduced the concept of control polyhedron and others refined it later [18,22]. It is well recognized that a control polyhedron does not provide sufficient flexibility to deform meshes with complicated topology and geometry [15,21]. More recent techniques increase this flexibility by introducing sophisticated coordinate functions that bind the cage to the mesh.…”
mentioning
confidence: 99%
“…Early attempts include extending the notion of barycentric coordinates to polyhedra [16,23,31]. More recently, Mean Value Coordinates [10,11,19], Harmonic [15], and Green [21] Coordinates have been proposed for the purpose. The au- Fig.…”
mentioning
confidence: 99%