Modelling 3D semi-deformable tubes in real time

被引：5
|
作者：
Klimowicz, A. N. F. [1 ]
Mihajlovic, M. D. [1 ]
机构：
[1] Univ Manchester, Sch Comp Sci, Manchester M13 9PL, Lancs, England
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 184卷 / 01期
关键词：
linear elastic tubes; oriented splines; Lagrange equations; Newmark method; Cholesky factorisation;
D O I：
10.1016/j.amc.2005.12.072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Numerical simulation of deformable objects is an important problem in biomechanical engineering and computational science. A significant class of problems in this area requires that the simulation results are presented both haptically and graphically in real time (an example being a medical training simulator based on virtual reality). In such cases various types of trade-offs between accuracy and efficiency are implemented. Numerical procedures for modelling deformable objects, with respect to their efficiency, mainly belong to the following two classes: interactive methods (that are fast but have moderate accuracy), and continuum mechanics based methods (that are accurate, but generally not fully interactive). In this paper we present a numerical method based on oriented splines for the numerical simulation of semi-deformable tubes. The numerical results demonstrate both the accuracy and the interactivity of the proposed method, making it a suitable component of complex systems for interactive virtual reality simulations of biomechanical systems. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：52 / 62
页数：11
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