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arXiv · 2409.12362

Rest Shape Optimization for Sag-Free Discrete Elastic Rods

Tetsuya Takahashi·Christopher Batty
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Abstract

We propose a new rest shape optimization framework to achieve sag-free simulations of discrete elastic rods. To optimize rest shape parameters, we formulate a minimization problem based on the kinetic energy with a regularizer while imposing box constraints on these parameters to ensure the system's stability. Our method solves the resulting constrained minimization problem via the Gauss-Newton algorithm augmented with penalty methods. We demonstrate that the optimized rest shape parameters enable discrete elastic rods to achieve static equilibrium for a wide range of strand geometries and material parameters.

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Tetsuya Takahashi, Christopher Batty. 2024-09-18. Rest Shape Optimization for Sag-Free Discrete Elastic Rods. https://arxiv.org/abs/2409.12362

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