Real-time and accurate 1D Element simulation
Objectives
The need for physically-based simulation of one-dimensional objects
arises in many settings such as for suturing in surgical simulation and cable
laying in robotics. There is a trade-off between realism and
computational expense for simulation; accuracy is vital for
mechanical engineering whereas real-time considerations are important
in computer graphics.
The one dimensional model that we propose is mechanically valid and efficient to enable interactive experiments.
It is based on spline representation, that can handle geometrically complex 1D shapes,
while preserving reasonnable number of mechanical degrees of freedom.
A robust and efficient Lagrangian Constraint Toolkit for the Simulation of 1D Structures - Companion video
Car industry
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Cable positioning on a car door. 16 control points constitute this cable. This video shows the robustness and the efficiency of our method. Moreover, our model switches between quasi-static and dynamic simulation.
Helical shapes
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A virtual 7 pitch coil spring is simulated at real-time with only 31 control points, with the real material parameters of copper. This demonstrates the small amount of required DOF to provide accurate results. Damping is due to
the integration scheme, a linearly Euler-Implicit method; the smaller the time step is, the less damped the simulation is.
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B-form DNA of 35 hydrogen bond simulation, with minor and major grooves. 35 links and 31 control points are used.
Varying cross-section
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A pendulum weighted at its end.
Time integration
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Comparison between dynamic and quasi-static integrations, varying the simulation time step.
Royal Textile Company
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