Rest Shape Optimization for Sag-Free Discrete Elastic Rods

Takahashi, Tetsuya; Batty, Christopher

Rest Shape Optimization for Sag-Free Discrete Elastic Rods

Files

cgf70019.pdf (50.09 MB)

paper1026_1.mp4 (221.89 MB)

Date

2025

Authors

Takahashi, Tetsuya
Batty, Christopher

Publisher

The Eurographics Association and John Wiley & Sons Ltd.

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.

CCS Concepts: Computing methodologies → Physical simulation

        @article{10.1111:cgf.70019
,
journal = {Computer Graphics Forum},
title = {{Rest Shape Optimization for Sag-Free Discrete Elastic Rods
}},
author = {Takahashi, Tetsuya and 
Batty, Christopher
},
year = {2025
},
publisher = {The Eurographics Association and John Wiley & Sons Ltd.
},
ISSN = {1467-8659
},
DOI = {10.1111/cgf.70019
}
}