2007
DOI: 10.1111/j.1467-8659.2007.01056.x
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Adaptive Space Deformations Based on Rigid Cells

Abstract: We propose a new adaptive space deformation method for interactive shape modeling. A novel energy formulation based on elastically coupled volumetric cells yields intuitive detail preservation even under large deformations. By enforcing rigidity of the cells, we obtain an extremely robust numerical solver for the resulting nonlinear optimization problem. Scalability is achieved using an adaptive spatial discretization that is decoupled from the resolution of the embedded object. Our approach is versatile and e… Show more

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Cited by 115 publications
(113 citation statements)
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“…Then they [16] extend this idea to adaptive volumetric hexahedral cells: the volumetric cells are treated as rigid objects, and the integrated distance between their adjacent faces is minimized. Although it achieves generality, the limitation is also its performance because of solving dense linear systems.…”
Section: Related Workmentioning
confidence: 99%
“…Then they [16] extend this idea to adaptive volumetric hexahedral cells: the volumetric cells are treated as rigid objects, and the integrated distance between their adjacent faces is minimized. Although it achieves generality, the limitation is also its performance because of solving dense linear systems.…”
Section: Related Workmentioning
confidence: 99%
“…Since performance is not a crucial factor during the offline processing, we suggest using more sophisticated deformation models. We experimentally compared several such models [Botsch et al 2006a;Sumner et al 2007;Botsch et al 2007;Eigensatz and Pauly 2009;Bouaziz et al 2012] and currently recommend the projection-based optimization of [Bouaziz et al 2012] that offers a good tradeoff between deformation quality and algorithmic complexity.…”
Section: Performance-based Facial Animationmentioning
confidence: 99%
“…deforming the whole length of all profile wires (Figure 8b), (2). deforming a part of all profile wires (Figure 8c), (3). deforming the whole length of some profile wires (Figure 8d), and (4).…”
Section: Shape Manipulation Through Physically Based Deformations Of mentioning
confidence: 99%
“…Space deformation techniques [1][2][3] deform 3D models by warping the surrounding space. They are suitable for global shape manipulation.…”
Section: Introductionmentioning
confidence: 99%