Bézier Shell Finite Element for Interactive Surgical Simulation

Golembiovský, Tomá¹; Duriez, Christian

Bézier Shell Finite Element for Interactive Surgical Simulation

Files

107-116.pdf (510.31 KB)

Date

2012

Authors

Golembiovský, Tomá¹
Duriez, Christian

Publisher

The Eurographics Association

Abstract

There is a strong need, in surgical simulations, for physically based deformable model of thin or hollow structures. The use of shell theory allows to have a well-founded formulation resulting from continuum mechanics of thin objects. However, this formulation asks for second order spatial derivatives so requires the use of complex elements. In this paper, we present a new way of building the interpolation: First, we use the trianular cubic Bézier shell to allow for a good continuity inside and between the elements and second, we build a kinematic mapping to reduce the degrees of freedom of the element from 10 control points with 3 Degrees of Freedom (

        @inproceedings{:10.2312/PE/vriphys/vriphys12/107-116
,
booktitle = {Workshop on Virtual Reality Interaction and Physical Simulation
},
editor = {Jan Bender and Arjan Kuijper and Dieter W. Fellner and Eric Guerin
},
title = {{Bézier Shell Finite Element for Interactive Surgical Simulation
}},
author = {Golembiovský, Tomá¹ and 
Duriez, Christian
},
year = {2012
},
publisher = {The Eurographics Association
},
ISBN = {978-3-905673-96-8
},
DOI = {/10.2312/PE/vriphys/vriphys12/107-116
}
}