Linear-time dynamics using Lagrange multipliers
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
A constraint-based approach to rigid body dynamics for virtual reality applications
VRST '98 Proceedings of the ACM symposium on Virtual reality software and technology
Faking Dynamics of Ropes and Springs
IEEE Computer Graphics and Applications
Cable route planning in complex environments using constrained sampling
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Proceedings of the 2007 ACM symposium on Solid and physical modeling
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
Geometrically exact dynamic splines
Computer-Aided Design
A mass spring model for hair simulation
ACM SIGGRAPH 2008 papers
Computer Aided Geometric Design
Detail preserving continuum simulation of straight hair
ACM SIGGRAPH 2009 papers
Interactive simulation of surgical needle insertion and steering
ACM SIGGRAPH 2009 papers
A robust and efficient Lagrangian constraint toolkit for the simulation of 1D structures
Computer-Aided Design
Simulation of flexible tubes in VR
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
A symbolic-numeric approach to tube modeling in CAD systems
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Proceedings of the 12th ACM SIGGRAPH/Eurographics Symposium on Computer Animation
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Computer simulations play an ever growing role for the development of automotive products. Assembly simulation, as well as many other processes, are used systematically even before the first physical prototype of a vehicle is built in order to check whether particular components can be assembled easily or whether another part is in the way. Usually, this kind of simulation is limited to rigid bodies. However, a vehicle contains a multitude of flexible parts of various types: cables, hoses, carpets, seat surfaces, insulations, weatherstrips... Since most of the problems using these simulations concern one-dimensional components and since an intuitive tool for cable routing is still needed, we have chosen to concentrate on this category, which includes cables, hoses and wiring harnesses.This paper presents an interactive, real-time, numerically stable and physically accurate simulation tool for one-dimensional components. The modeling of bending and torsion follows the Cosserat model and is implemented with a generalized spring-mass system with a mixed coordinate system which features usual space coordinates for the positions of the points and quaternions for the orientation of the segments joining them. This structure allows us to formulate the springs based on the coordinates that are most appropriate for each type of interaction and leads to a banded system that is then solved iteratively with an energy minimizing algorithm.