Category Archives: Uncategorized

Deforming Meshes that Split and Merge

We present a method for accurately tracking the moving surface of deformable materials in a manner that gracefully handles topological changes.We employ a Lagrangian surface tracking method, and we use a triangle mesh for our surface representation so that fine … Continue reading →

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Deformable Object Animation Using Reduced Optimal Control

Keyframe animation is a common technique to generate animations of deformable characters and other soft bodies. With spline interpolation, however, it can be difficult to achieve secondary motion effects such as plausible dynamics when there are thousands of degrees of … Continue reading →

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Preserving Topology and Elasticity for Embedded Deformable Models

In this paper we introduce a new approach for the embedding of linear elastic deformable models. Our technique results in significant improvements in the efficient physically based simulation of highly detailed objects. First, our embedding takes into account topological details, … Continue reading →

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Numerical Coarsening of Inhomogeneous Elastic Materials

We propose an approach for efficiently simulating elastic objects made of non-homogeneous, non-isotropic materials. Based on recent developments in homogenization theory, a methodology is introduced to approximate a deformable object made of arbitrary fine structures of various linear elastic materials … Continue reading →

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Energy-Preserving Integrators for Fluid Animation

Numerical viscosity has long been a problem in fluid animation. Existing methods suffer from intrinsic artificial dissipation and often apply complicated computational mechanisms to combat such effects. Consequently, dissipative behavior cannot be controlled or modeled explicitly in a manner independent … Continue reading →

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Co-rotated SPH for Deformable Solids

Smoothed Particle Hydrodynamics (SPH) is a powerful technique for the animation of natural phenomena. While early SPH approaches in Computer Graphics have mainly been concerned with liquids or gases, recent research also focuses on the dynamics of deformable solids using … Continue reading →

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Triangular Springs for Modeling Nonlinear Membranes

This paper provides a formal connexion between springs and continuum mechanics in the context of onedimensional and two-dimensional elasticity. In a first stage, the equivalence between tensile springs and the finite element discretization of stretching energy on planar curves is … Continue reading →

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An Edge-Based Computationally Efficient Formulation of Saint-Venant Kirchhoff Tetrahedral Finite Elements

This article describes a computationally efficient formulation and an algorithm for tetrahedral finite-element simulation of elastic objects subject to Saint Venant-Kirchhoff (StVK) material law. The number of floating point operations required by the algorithm is in the range of 15% … Continue reading →

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Lie Group Integrators for Animation and Control of Vehicles

This paper is concerned with the animation and control of vehicles with complex dynamics such as helicopters, boats, and cars. Motivated by recent developments in discrete geometric mechanics we develop a general framework for integrating the dynamics of holonomic and … Continue reading →

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Linear Time Super-Helices

Thin elastic rods such as cables, phone coils, tree branches, or hair, are common objects in the real world but computing their dynamics accurately remains challenging. The recent Super-Helix model, based on the discrete equations of Kirchhoff for a piecewise … Continue reading →

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