Weight-based shape modification of NURBS curves

被引：35

作者：

Juhász, I ^{[1
]}

机构：

[1] Univ Miskolc, Dept Descript Geometry, H-3515 Miskolc Egyetemvaros, Hungary

来源：

COMPUTER AIDED GEOMETRIC DESIGN | 1999年 / 16卷 / 05期

关键词：

NURBS curves; constrained shape modification; weight modification;

D O I：

10.1016/S0167-8396(99)00006-0

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We address the problem of how to perform prescribed shape modification of NURBS curves merely by the modification of the weight of some of their control points. As is known, NURBS curves can be considered as central projections of nonrational B-spline curves. Making use of the property that there is an infinite number of nonrational B-spline curves the central projection of which is a given NURBS curve, we provide a weight-based shape modification method by means of which one can prescribe not only the new position of an arbitrary chosen point of a plane NURBS curve but the tangent direction as well. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：377 / 383

页数：7

共 7 条

[1] UNIFIED APPROACH TO NURBS CURVE SHAPE MODIFICATION [J].

AU, CK ;

YUEN, MMF .

COMPUTER-AIDED DESIGN, 1995, 27 (02) :85-93

[2]

Farin G, 2014, Curves and Surfaces for Computer-Aided Geometric Design: A Practical Guide

[3]

Farin Gerald E., 1995, NURB CURVES SURFACES

[4] CONSTRAINT-BASED CURVE MANIPULATION [J].

FOWLER, B ;

BARTELS, R .

IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1993, 13 (05) :43-49

[5] MODIFYING THE SHAPE OF RATIONAL B-SPLINES .1. CURVES [J].

PIEGL, L .

COMPUTER-AIDED DESIGN, 1989, 21 (08) :509-518

[6] A simple technique for NURBS shape modification [J].

SanchezReyes, J .

IEEE COMPUTER GRAPHICS AND APPLICATIONS, 1997, 17 (01) :52-59

[7]

Tiller W, 1995, NURBS BOOK

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