Energy constraints on parameterized models
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Linear-time dynamics using Lagrange multipliers
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Large steps in cloth simulation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Graphical modeling and animation of brittle fracture
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Proceedings of the 2002 ACM SIGGRAPH/Eurographics symposium on Computer animation
Simulation of clothing with folds and wrinkles
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Invertible finite elements for robust simulation of large deformation
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Super-helices for predicting the dynamics of natural hair
ACM SIGGRAPH 2006 Papers
CoRdE: Cosserat rod elements for the dynamic simulation of one-dimensional elastic objects
SCA '07 Proceedings of the 2007 ACM SIGGRAPH/Eurographics symposium on Computer animation
Interactive simulation of one-dimensional flexible parts
Computer-Aided Design
Volume conserving finite element simulations of deformable models
ACM SIGGRAPH 2007 papers
A finite element method for animating large viscoplastic flow
ACM SIGGRAPH 2007 papers
Efficient simulation of inextensible cloth
ACM SIGGRAPH 2007 papers
Strands and hair: modeling, animation, and rendering
ACM SIGGRAPH 2007 courses
ACM SIGGRAPH 2008 papers
A mass spring model for hair simulation
ACM SIGGRAPH 2008 papers
Interactive physically-based shape editing
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Preserving topology and elasticity for embedded deformable models
ACM SIGGRAPH 2009 papers
Unified simulation of elastic rods, shells, and solids
ACM SIGGRAPH 2010 papers
ACM SIGGRAPH 2010 papers
Inextensible elastic rods with torsional friction based on Lagrange multipliers
Computer Animation and Virtual Worlds
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Many virtual reality-based applications involve simulations of micro-structures such as hair, fibers and textile yarns, as well as ropes, flexible wires and tubes. In virtual surgery, for example, flexible wires and tubes are common medical instruments and devices. Core to the simulations is the robust physics-based computation of elastic rods. In this paper, we present a volumetric finite element based approach to simulating rod-like objects with real-time performance suitable for interactive virtual environments. A sequence of Cosserat joints (tiny volumetric elastic joints) linked by rigid bar segments are used to compute the elastic rod objects. By construction, each of the joints is equipped with its own mass, degrees of freedom (DOFs) with a small volumetric deformation field to measure deformation energies due to stretching, shearing, bending, and twisting about the centerline curve of the long flexible object. Therefore, a generalized continuum formulation is derived to compute both bending and twisting deformations of elastic rods, resulting a simple and general simulation model to facilitate efficient physics computations, whereas conversional simulation methods for elastic rods require explicitly decoupling between bending and twisting deformations. In this paper, we show simulations of a wide range of object behaviors for interactive virtual reality applications.