Geometrically exact dynamic splines

A Theetten, L Grisoni, C Andriot, B Barsky - Computer-Aided Design, 2008 - Elsevier
In this paper, we propose a complete model handling the physical simulation of deformable
1D objects. We formulate continuous expressions for stretching, bending and twisting …

Quasi-dynamic splines

A Theetten, L Grisoni, C Duriez, X Merlhiot - Proceedings of the 2007 …, 2007 - dl.acm.org
In this work, we propose interactive and physically based animation of one-dimensional
deformable models using geometrically exact energy formulation. The proposed mechanical …

A review of techniques for modeling flexible cables

N Lv, J Liu, H Xia, J Ma, X Yang - Computer-Aided Design, 2020 - Elsevier
Designing the layouts and simulating the assembly of cables are based on flexible cable
modeling technology. In this paper, we review the methods used to model deformable cable …

[图书][B] Geometric modeling with splines: an introduction

E Cohen, RF Riesenfeld, G Elber - 2001 - taylorfrancis.com
Written by researchers who have helped found and shape the field, this book is a definitive
introduction to geometric modeling. The authors present all of the necessary techniques for …

Continuous deformation energy for dynamic material splines subject to finite displacements

O Nocent, Y Remion - … Animation and Simulation 2001: Proceedings of the …, 2001 - Springer
This paper presents some improvements of a previous continuous parametric model for
dynamic animation of curvilinear objects called Dynamic Material Splines (DMS). It begins …

[PDF][PDF] Pasting spline surfaces

C Barghiel, R Bartels, D Forsey - … Methods for Curves and Surfaces: Ulvik …, 1995 - Citeseer
Details can be added to spline surfaces by applying displacement maps. However, the
computational intensity of displacement mapping prevents its use for interactive design. In …

Position-based elastic rods

N Umetani, R Schmidt, J Stam - ACM SIGGRAPH 2014 Talks, 2014 - dl.acm.org
Elastic rods produce complex nonlinear motion and are essential for animating thin strands
such as hairs and ropes. However their simulation using Position-Based Dynamics …

Discrete Cosserat rod models based on the difference geometry of framed curves for interactive simulation of flexible cables

J Linn, K Dreßler - Math for the Digital Factory, 2017 - Springer
For software tools currently used in industry for computer aided design (CAD), digital mock-
up and virtual assembly there is an increasing demand to handle not only rigid geometries …

Cosserat rods with projective dynamics

C Soler, T Martin… - Computer Graphics …, 2018 - Wiley Online Library
We present a novel method to simulate Cosserat rods with Projective Dynamics (PD). The
proposed method is both numerically robust and accurate with respect to the underlying …

Strands: Interactive simulation of thin solids using cosserat models

DK Pai - Computer graphics forum, 2002 - Wiley Online Library
Strandsare thin elastic solids that are visually well approximated as smooth curves, and yet
possess essential physical behaviors characteristic of solid objects such as twisting …