FAIRING COMPOSITE POLYNOMIAL CURVES WITH CONSTRAINTS

Authors
NOWACKI H LU XM
Citation
H. Nowacki et Xm. Lu, FAIRING COMPOSITE POLYNOMIAL CURVES WITH CONSTRAINTS, Computer aided geometric design, 11(1), 1994, pp. 1-15
Citations number
8
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
11
Issue
1
Year of publication
1994
Pages
1 - 15
Database
ISI
SICI code
0167-8396(1994)11:1<1:FCPCWC>2.0.ZU;2-#
Abstract
A general method for fairing composite polynomial curves with constrai nts is given. The fairness criterion is based on the linear combinatio n of the square of the second and the third derivative norm. The const raints apply to approximation conditions, end conditions and an integr al condition pertaining to the area under the curve. The variational p roblem formulation leads to a nonlinear set of equations, which is sol ved numerically. The method is illustrated by examples.