Constrained shape modification of cubic B-spline curves by means of knots |
| |
Authors: | I Juhász [Author Vitae] M Hoffmann [Author Vitae] |
| |
Abstract: | The effect of the modification of knot values on the shape of B-spline curves is examined in this paper. The modification of a knot of a B-spline curve of order k generates a one-parameter family of curves.This family has an envelope which is also a B-spline curve with the same control polygon and of order k−1. Applying this theoretical result, three shape control methods are provided for cubic B-spline curves, that are based on the modification of three consecutive knots. The proposed methods enable local shape modifications subject to position and/or tangent constraints that can be specified within well defined limits. |
| |
Keywords: | B-spline curves Knot modification Envelope Constrained shape modification |
本文献已被 ScienceDirect 等数据库收录! |