Least-Squares Fitting of Two 3-D Point Sets
IEEE Transactions on Pattern Analysis and Machine Intelligence
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Large steps in cloth simulation
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ArtDefo: accurate real time deformable objects
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Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Multiresolution hierarchies on unstructured triangle meshes
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Interactive animation of structured deformable objects
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Finite volume methods for the simulation of skeletal muscle
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Meshless deformations based on shape matching
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ACM SIGGRAPH 2005 Papers
Vector field based shape deformations
ACM SIGGRAPH 2006 Papers
Fast Volume Preservation for a Mass-Spring System
IEEE Computer Graphics and Applications
Journal of Visual Communication and Image Representation
Volume conserving finite element simulations of deformable models
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A finite element method for animating large viscoplastic flow
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FastLSM: fast lattice shape matching for robust real-time deformation
ACM SIGGRAPH 2007 papers
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Fast adaptive shape matching deformations
Proceedings of the 2008 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Volume-preserving LSM deformations
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Real-time example-based elastic deformation
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Real-time example-based elastic deformation
Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Technical Section: Fast and stable cloth simulation based on multi-resolution shape matching
Computers and Graphics
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We introduce an efficient technique for robustly simulating incompressible objects with thousands of elements in real-time. Instead of considering a tetrahedral model, commonly used to simulate volumetric bodies, we simply use their surfaces. Not requiring hundreds or even thousands of elements in the interior of the object enables us to simulate more elements on the surface, resulting in high quality deformations at low computation costs. The elasticity of the objects is robustly simulated with a geometrically motivated shape matching approach which is extended by a fast summation technique for arbitrary triangle meshes suitable for an efficient parallel computation on the GPU. Moreover, we present an oscillation-free and collision-aware volume constraint, purely based on the surface of the incompressible body. The novel heuristic we propose in our approach enables us to conserve the volume, both globally and locally. Our volume constraint is not limited to the shape matching method and can be used with any method simulating the elasticity of an object. We present several examples which demonstrate high quality volume conserving deformations and compare the run-times of our CPU implementation, as well as our GPU implementation with similar methods.