• Symmetric alteration of four k...

Treffer: Symmetric alteration of four knots of B-spline and NURBS surfaces

Title:
Symmetric alteration of four knots of B-spline and NURBS surfaces
Authors:
Guozhao Wang, Ya-juan Li
Source:
Journal of Zhejiang University-SCIENCE A. 7:1084-1087
Publisher Information:
Zhejiang University Press, 2006.
Publication Year:
2006
Subject Terms:
surfaces modelling, knot vector, B-spline surface, NURBS curve, nonuniform rational B-spline, free form curves, 02 engineering and technology, 01 natural sciences, Numerical computation using splines, 0104 chemical sciences, Computer-aided design (modeling of curves and surfaces), NURBS surface, 0202 electrical engineering, electronic engineering, information engineering, B-spline curve, knot modification, control points
Document Type:
Fachzeitschrift Article
File Description:
application/xml
Language:
English
ISSN:
1862-1775
1673-565X
DOI:
10.1631/jzus.2006.a1084
Access URL:
https://link.springer.com/article/10.1631/jzus.2006.A1084
https://link.springer.com/10.1631/jzus.2006.A1084
Rights:
Springer TDM
Accession Number:
edsair.doi.dedup.....20aec6d49da60b3e67dafb5b7b6cc323
Database:
OpenAIRE

Weitere Informationen

NURBS (non-uniform rational B-spline) belongs to the standard tools in the area of free form curves and surfaces modelling. The shape of a NURBS surface can be changed by four shape modifiers: position of control points, degree of rational basis functions, knot vector and weights of control points. A B-spline surface is a special type of a NURBS surface with the same (usually unit) weights of control points. In this article, the influence of a symmetric alteration of four knots on the shape of the B-spline and NURBS surface is presented. The authors applied the previous theory of symmetric alteration of two knots of B-spline and NURBS curve in an extended range of modification. They investigate paths, along which the points of the B-spline and NURBS surface move when modifying the knots and prove that the extended paths for the symmetric alteration of four knots converge to a point which can be expressed with several control points.