Vega: Non‐Linear FEM Deformable Object Simulator

Sin, Funshing; Schroeder, Daniel J.; Barbič, Jernej

doi:10.1111/j.1467-8659.2012.03230.x

Cited by 76 publications

(55 citation statements)

References 18 publications

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“…Our linear subspace can be directly applied in any simulator which supports model reduction [Sin et al 2013]. In our system we opted for a simpler yet effective approach: we augment the ARAP energy above with a momentum term [Chao et al 2010;Martin et al 2011;Jacobson 2013].…”

Section: Elastic Deformations With Dynamicsmentioning

confidence: 99%

Linear subspace design for real-time shape deformation

et al. 2015

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Figure 1: Our linear subspaces are very fast to compute. This enables the users to add (or remove) control handles very quickly, allowing them to realize their creative intent in a single interactive session. AbstractWe propose a method to design linear deformation subspaces, unifying linear blend skinning and generalized barycentric coordinates. Deformation subspaces cut down the time complexity of variational shape deformation methods and physics-based animation (reduced-order physics). Our subspaces feature many desirable properties: interpolation, smoothness, shape-awareness, locality, and both constant and linear precision. We achieve these by minimizing a quadratic deformation energy, built via a discrete Laplacian inducing linear precision on the domain boundary. Our main advantage is speed: subspace bases are solutions to a sparse linear system, computed interactively even for generously tessellated domains. Users may seamlessly switch between applying transformations at handles and editing the subspace by adding, removing or relocating control handles. The combination of fast computation and good properties means that designing the right subspace is now just as creative as manipulating handles. This paradigm shift in handle-based deformation opens new opportunities to explore the space of shape deformations.

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Section: Elastic Deformations With Dynamicsmentioning

confidence: 99%

Linear subspace design for real-time shape deformation

et al. 2015

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“…The timestep size is set to 20ms. Vega Library [BSS12,SSB13] is used to compute the tangent stiffness matrix and the internal force resulting from W StV K . The collision and global motion are treated by the method proposed in [HSO03].…”

Section: Methodsmentioning

confidence: 99%

Real‐Time Subspace Integration for Example‐Based Elastic Material

Zhang

Zheng

Thalmann

2015

Computer Graphics Forum

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Figure 1: Different example-based elastic material behaviours illustrated on deforming cars. AbstractExample-based material allows simulating complex material behaviors in an art-directed way. This paper presents a method for fast subspace integration for example-based elastic material, which is suitable for real-time simulation in computer graphics. At the core of the method is the formulation of a new potential using example-based Green strain tensors. By using this potential, the deformation can be attracted towards the example-based deformation feature space, the example weights can be explicitly obtained and the internal force can be decomposed into the conventional one and an additional one induced by the examples. The real-time subspace integration is then developed with subspace integration costs independent of geometric complexity, and both the reduced conventional internal force and additional one being cubic polynomials in reduced coordinates. Experiments demonstrate that our method can achieve real-time simulation while providing comparable quality with the prior art.

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“…Invertible FEM [Irving et al 2004] improved simulation robustness in scenarios involving extreme compression, while modified Newton methods [Teran et al 2005a] reduced the cost of implicit schemes with large time steps. Several of these algorithms have been incorporated in open-source modeling and simulation packages [Sin et al 2013]. Solutions have also been proposed for material behaviors such as incompressibility [Irving et al 2007] and viscoelasticity [Goktekin et al 2004;Wojtan and Turk 2008], both of which can be found in typical biomaterials.…”

Section: Related Workmentioning

confidence: 99%

GRIDiron

2015

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Figure 1: Simulated Dufourmentel-Mouly repair (see [Baker 2014]) for a large gap of excised tissue on the scalp. From top to bottom, left to right: Rendered stages of procedure, embedding lattice, real time demo on a tablet running in a web browser. AbstractWe present an interactive simulation framework for authoring surgical procedures of soft tissue manipulation using physics-based simulation to animate the flesh. This interactive authoring tool can be used by clinical educators to craft three-dimensional illustrations of the intricate maneuvers involved in craniofacial repairs, in contrast to two-dimensional sketches and still photographs which are the medium used to describe these procedures in the traditional surgical curriculum. Our virtual environment also allows surgeons-intraining to develop cognitive skills for craniofacial surgery by experimenting with different approaches to reconstructive challenges, adapting stock techniques to flesh regions with nonstandard shape, and reach preliminary predictions about the feasibility of a given repair plan. We use a Cartesian grid-based embedded discretization of nonlinear elasticity to maximize regularity, and expose opportunities for aggressive multithreading and SIMD accelerations. Using a grid-based approach facilitates performance and scalability, but constrains our ability to capture the topology of thin surgical incisions. We circumvent this restriction by hybridizing the grid-based discretization with an explicit hexahedral mesh representation in regions where the embedding mesh necessitates overlap or nonmanifold connectivity. Finally, we detail how the front-end of our system can run on lightweight clients, while the core simulation capability can be hosted on a dedicated server and delivered as a network service.

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Vega: Non‐Linear FEM Deformable Object Simulator

Cited by 76 publications

References 18 publications

Linear subspace design for real-time shape deformation

Linear subspace design for real-time shape deformation

Real‐Time Subspace Integration for Example‐Based Elastic Material

GRIDiron

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