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Mathematical Progress in Expressive Image Synthesis IIIGeometry and Mechanics of Fibers: Some Numerical Models

Mathematical Progress in Expressive Image Synthesis III: Geometry and Mechanics of Fibers: Some... [In this talk I will give an overview of our work on the simulation of fibers and entangled materials, such as hair, with a specific interest for virtual prototyping and computer graphics applications. I will first introduce a family of high-order, reduced models for discretizing Kirchhoff’s equations for thin elastic rods in a both faithful and robust way. Such models are particularly well-suited for simulating inextensible fibers subject to bending and twisting, and featuring an arbitrary curly resting geometry. Then I will show how such models can be coupled to frictional contactFrictional contact using the nonsmooth contact dynamics framework, and I will present a hybrid iterative solver suitable for robustly handling thousands packed fibers at reasonable frame rates. Finally, I will give some insights into the inverse modeling of fibers, consisting in taking an arbitrary curve geometry as input and inferring corresponding geometric and physical parameters of the simulator such that the input geometry corresponds to a stable configuration at equilibrium.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

Mathematical Progress in Expressive Image Synthesis IIIGeometry and Mechanics of Fibers: Some Numerical Models

Part of the Mathematics for Industry Book Series (volume 24)
Editors: Dobashi, Yoshinori; Ochiai, Hiroyuki
Bertails-Descoubes, Florence
Mathematical Progress in Expressive Image Synthesis III — May 22, 2016
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References (11)

Publisher
Springer Singapore
Copyright
© Springer Science+Business Media Singapore 2016
ISBN
978-981-10-1075-0
Pages
1 –6
DOI
10.1007/978-981-10-1076-7_1
Publisher site
See Chapter on Publisher Site

Abstract

[In this talk I will give an overview of our work on the simulation of fibers and entangled materials, such as hair, with a specific interest for virtual prototyping and computer graphics applications. I will first introduce a family of high-order, reduced models for discretizing Kirchhoff’s equations for thin elastic rods in a both faithful and robust way. Such models are particularly well-suited for simulating inextensible fibers subject to bending and twisting, and featuring an arbitrary curly resting geometry. Then I will show how such models can be coupled to frictional contactFrictional contact using the nonsmooth contact dynamics framework, and I will present a hybrid iterative solver suitable for robustly handling thousands packed fibers at reasonable frame rates. Finally, I will give some insights into the inverse modeling of fibers, consisting in taking an arbitrary curve geometry as input and inferring corresponding geometric and physical parameters of the simulator such that the input geometry corresponds to a stable configuration at equilibrium.]

Published: May 22, 2016

Keywords: Physics-based simulation; Thin elastic rod; Frictional contact; Hair simulation; Inverse physics-based design

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