Stable real-time deformations

By Matthias Müller, Julie Dorsey, Leonard McMillan, Robert Jagnow, B. Cutler. Symposium on Computer Animation, 2002

535 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computer Graphics and Computer-Aided Design, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/383df4b75d87081f7cc4b3af134e2406d08d51e2

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In Computational Mechanics

In Computer Graphics and Computer-Aided Design

In Control and Systems Engineering

Citations in the corpus

Efficient elasticity for character skinning with contact and collisions (2011, methodology): “[Rivers and James 2007] extended the accuracy of this method while maintaining high performance with a fast SVD. Warped stiffness approaches [M¨uller et al. 2002; M¨uller and Gross 2004; M¨uller et al. 2004] are a more general example of the techniques developed by Cappel et al. and use an inexact…”
Constraining dense hand surface tracking with elasticity (2020, background): “Linear elasticity is not suited for modeling large deformations [Müller et al. 2002], however, and this work is thus forced to reinitialize the mesh’s rest state at each frame, leading to artificial plasticity and limiting the method to small deformations.”
Optimized Spatial Hashing for Collision Detection of Deformable Objects (2003, methodology): “We have integrated efficient deformable models based on linear finite elements [23] and the proposed collision detection approach.”
Sparse matrix solvers on the GPU: conjugate gradients and multigrid (2003, background): “Background The need for an unstructured sparse matrix solver arises in many simulations involving discretization of linear and non-linear partial differential equations (PDEs) over arbitrary meshes ( e.g. , [M¨uller et al. 2002; Desbrun et al. 2002; Kobbelt et al. 1998]).”
Physically Based Deformable Models in Computer Graphics (2006, methodology): “Many papers in Computer Graphics use a simple form of the Finite Element method for the simulation of de-formable objects, sometimes called the explicit Finite Element Method, which is quite easy to understand and to implement (e.g. [OH99], [DDCB01], [MDM ∗ 02]).”
Interactive Virtual Materials (2004, methodology): “An alternative to Capell's method is the warped stiffness approach proposed by Müller [12] which is a corotational formulation [6] and uses a local coordinate frame for each vertex to compute the linear force.”
Meshless deformations based on shape matching (2005, methodology): “…Witkin 1998], [Desbrun et al. 1999], the Boundary Element Method (BEM) [James and Pai 1999], the Finite Element Method (FEM) [Debunne et al. 2001], [Müller et al. 2002], [Müller and Gross 2004], the Finite Volume Method (FVM) [Teran et al. 2003] to implicit surfaces [Desbrun and Cani 1995] and…”
Boundary-Aware Multidomain Subspace Deformation (2013, background): “It was first introduced by Mu¨ller et al. [17], [18] via stiffness warping and widely adopted in various applications [19], [20], [21], [22].”
GPGPU: general purpose computation on graphics hardware (2004, background): “Background The need for an unstructured sparse matrix solver arises in many simulations involving discretization of linear and non-linear partial differential equations (PDEs) over arbitrary meshes (e.g., [M¨uller et al. 2002; Desbrun et al. 2002; Kobbelt et al. 1998]).”