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## Interactive Physically-Based Shape Editing

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Citations: | 7 - 0 self |

### Citations

360 | Approximate Calculation of Multiple Integrals, - Stroud - 1971 |

307 | Interactive multi-resolution modeling on arbitrary meshes
- Kobbelt, Campagna, et al.
- 1998
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Citation Context ...t offer intuitive interaction facilities [5]. The first methods for mesh editing relied on multi-resolution representations, decomposing a model into low frequency components and detail displacements =-=[34, 15]-=-. A more recent approach to preserving surface details under global deformations is based on differential coordinates [1]. In this context, detail preservation can be formulated as the minimization of... |

235 | Laplacian surface editing. - SORKINE, COHEN-OR, et al. - 2004 |

217 | ArtDefo: Accurate Real Time Deformable Objects,”
- L, Pai
- 1999
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Citation Context ... for deformations of bulky models. Real-time Physically-based Simulation. Physically-based simulation of deformable objects in realtime has first been investigated in the context of general animation =-=[13]-=-. As another important application, virtual surgery simulation poses most stringent requirements on both speed and accuracy. This has spurred the development of approaches based on continuum mechanics... |

208 | Interactive multiresolution mesh editing. - Zorin, Schröder, et al. - 1997 |

188 | As-rigid-as-possible shape interpolation
- Alexa, Cohen-Or, et al.
- 2000
(Show Context)
Citation Context ...oordinates are not rotation-invariant, which means that large rotational deformations lead to disturbing surface distortions. In the case of shape blending these rotations can be factored out locally =-=[2]-=-. However, for general shape editing the problem is significantly harder since the final state is not known in advance. Pyramid coordinates [24] offer invariance under rigid body transformations but l... |

175 | Mesh editing with Poisson-based gradient field manipulation, - Yu, Zhou, et al. - 2004 |

173 | Interactive virtual materials. - MÜLLER, GROSS - 2004 |

169 | On linear variational surface deformation methods
- Botsch, Sorkine
(Show Context)
Citation Context ... approach removes surface and volume distortion for large deformations [16]. For a comparison of differential methods and their variational formulation we recommend the overview by Botsch and Sorkine =-=[7]-=-. Another important deformation constraint is the preservation of volume [22]. Combining differential coordinates with an approach for explicit volume preservation, Zhou et al. [32] minimise both the ... |

137 | Linear rotationinvariant coordinates for meshes - Lipman, Sorkine, et al. - 2005 |

114 |
Invertible Finite Elements for Robust Simulation of Large Deformation
- Irving, Teran, et al.
- 2004
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Citation Context ...r, in this rare case the simulation still stays stable since the combination of QR and polar decomposition always produces a valid corotation. An adoption of the diagonalisation used by Irving et al. =-=[12]-=- could offer additional potential to handle the problem, which we leave as an option for future work. Integration with Other Simulators. A bi-directional integration with other physics based animation... |

106 | An intuitive framework for real-time freeform-modeling
- BOTSCH, KOBBELT
- 2004
(Show Context)
Citation Context ...e have to be avoided. As a further requirement, a practically useful shape deformation algorithm has to be fast enough to deliver real-time frame rates and must offer intuitive interaction facilities =-=[5]-=-. The first methods for mesh editing relied on multi-resolution representations, decomposing a model into low frequency components and detail displacements [34, 15]. A more recent approach to preservi... |

95 | Interactive skeleton-driven dynamic deformations.
- Capell, Green, et al.
- 2002
(Show Context)
Citation Context ...virtual sculpting rather than for shape editing where details have to be preserved during deformation. We also do not want to force the user to construct a skeleton first in order to deform the model =-=[8]-=-. Mesh-free finite element methods become feasible for real-time simulations if dedicated techniques like the visibility graph by Steinemann et al. [26] are used to speed-up the stiffness matrix and s... |

95 | Subspace gradient domain mesh deformation
- HUANG, SHI, et al.
- 2006
(Show Context)
Citation Context ...lume [22]. Combining differential coordinates with an approach for explicit volume preservation, Zhou et al. [32] minimise both the change in surface details and shape volume. The skeleton constraint =-=[11]-=- is of interest when manipulating articulated shapes. Dedicated metrics in shape space are proposed by Kilian et al. [14] to obtain isometric deformations. By introducing path line integration on dive... |

91 | Graphical modeling and animation of ductile fracture,” - O’Brien, Bargteil, et al. - 2002 |

88 | Large mesh deformation using the volumetric graph laplacian - ZHOU, HUANG, et al. - 2005 |

74 | Geometric modeling in shape space
- KILIAN, MITRA, et al.
- 2007
(Show Context)
Citation Context ...e both the change in surface details and shape volume. The skeleton constraint [11] is of interest when manipulating articulated shapes. Dedicated metrics in shape space are proposed by Kilian et al. =-=[14]-=- to obtain isometric deformations. By introducing path line integration on divergence-free vector fields, von Funck et al. [29, 30] obtain volume-preserving and intersection-free deformations. The ada... |

62 | The Finite Element, - Zienkiewicz - 1977 |

55 |
A finite element method for animating large viscoplastic flow
- Bargteil, Wojtan, et al.
(Show Context)
Citation Context ...h which uses a Bernstein-Bézier formulation focussing on highest possible accuracy rather than speed was presented by Roth et al. [23]. The simulation of clay-like materials [9] or large plastic flow =-=[4]-=- can be useful for virtual sculpting rather than for shape editing where details have to be preserved during deformation. We also do not want to force the user to construct a skeleton first in order t... |

51 | Corotational simulation of deformable solids. In:
- Hauth, Straßer
- 2004
(Show Context)
Citation Context ...er to reduce the computational complexity the problem is usually recast into a linear formulation using linear finite elements and a small strain measure coupled with methods for extracting rotations =-=[10, 19]-=-. Unfortunately, linear finite elements are very susceptible to numerical locking (see Fig. 2), which degrades accuracy substantially and lets soft objects appear overly rigid. This problem can be gre... |

46 | Modeling inelastic deformation: viscolelasticity, plasticity, fracture. In: - Terzopoulos, Fleischer - 1988 |

45 | Adaptive space deformations based on rigid cells
- Botsch, Pauly, et al.
- 2007
(Show Context)
Citation Context ... path line integration on divergence-free vector fields, von Funck et al. [29, 30] obtain volume-preserving and intersection-free deformations. The adaptive volumetric discretisation by Botsch et al. =-=[6]-=- is reminiscent of finite element models, but is not based on continuum mechanics and requires non-linear solvers. They show the importance of preserving the volume both globally and locally for defor... |

43 | Pyramid coordinates for morphing and deformation - SHEFFER, KRAEVOY - 2004 |

41 | Volume-Preserving Free-Form Solids, - Rappaport, Sheffer, et al. - 1996 |

30 | Volume and shape preservation via moving frame manipulation
- Lipman, Cohen-Or, et al.
- 2007
(Show Context)
Citation Context ...differential coordinates proposed by Lipman et al.[17] only require the successive solution of two linear systems. A quasi-linear approach removes surface and volume distortion for large deformations =-=[16]-=-. For a comparison of differential methods and their variational formulation we recommend the overview by Botsch and Sorkine [7]. Another important deformation constraint is the preservation of volume... |

26 | Fast arbitrary splitting of deforming objects - Steinemann, Otaduy, et al. - 2006 |

24 | R.: A Bernstein-Bézier Based Approach to Soft Tissue Modeling - ROTH, GROSS, et al. - 1998 |

18 | Real-time Large Displacement Elasticity for Surgery Simulation : Non-linear Tensor-mass Model - Picinbono, H, et al. - 2000 |

17 | Interactive global and local deformations for virtual clay. InGraphical Models
- Dewaele, Cani
- 2004
(Show Context)
Citation Context .... A finite element approach which uses a Bernstein-Bézier formulation focussing on highest possible accuracy rather than speed was presented by Roth et al. [23]. The simulation of clay-like materials =-=[9]-=- or large plastic flow [4] can be useful for virtual sculpting rather than for shape editing where details have to be preserved during deformation. We also do not want to force the user to construct a... |

5 |
Differential coordinates for mesh morphing and deformation
- Alexa
(Show Context)
Citation Context ...ecomposing a model into low frequency components and detail displacements [34, 15]. A more recent approach to preserving surface details under global deformations is based on differential coordinates =-=[1]-=-. In this context, detail preservation can be formulated as the minimization of an energy functional which is related to the change in differential coordinates after deformation [25, 31]. The deformat... |

5 | On a new integration scheme for von-Mises plasticity with linear hardening.” Int
- Auricchio, Veiga, et al.
(Show Context)
Citation Context ...e trivially known. Using implicit integration is more involved because the unknown strains ε tot (t + ∆t) and ε pl (t + ∆t) are required. We solve this problem using a return map algorithm similar to =-=[3]-=-. Assuming that the time step will be entirely elastic, we predict the total strain ˜ε tot at time t+∆t in an explicit manner using the current strain rate ε tot (t) by ˜ε tot = ε tot (t) + ∆t ˙ε tot ... |

5 | Explicit control of vector field based shape deformations - Funck, Theisel, et al. - 2007 |

1 | Interactive Soft Object Simulation with Quadratic Finite Elements - MEZGER, STRASSER - 2006 |