Energy formulations of A-splines

被引：6

作者：

Bajaj, CL ^{[1
]}

Chen, JD

Holt, RJ

Netravali, AN

机构：

[1] Univ Texas, Dept Comp Sci, Austin, TX 78712 USA

[2] Univ Texas, TICAM, Austin, TX 78712 USA

[3] Xerox Corp, CR&T, Digital Imaging Technol Ctr, Palo Alto, CA 94304 USA

[4] Lucent Technol, Bell Labs, Murray Hill, NJ 07974 USA

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1999年 / 16卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/S0167-8396(98)00029-6

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

A-splines are implicit real algebraic curves in Bernstein-Bezier (BB) form that are smooth. We develop A-spline curve models using various energy formulations, incorporating bending and stretching energy, based on the theory of elasticity. The attempt to find true energy minimizing curves usually leads to complicated integrals which can only be solved numerically, we introduce a simplified energy formulation which is much faster to compute yet still provides reasonably accurate results. Several examples for C-1-continuous quadratic A-splines using the true and simplified energy models are then presented. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：39 / 59

页数：21

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