The conversion matrix between uniform B-spline and Bézier representations

Authors:
L. Romani;M. A. Sabin
Affiliations:
Dipartimento di Matematica, Universitá di Bologna, P.zza di Porta San Donato 5, 40127 Bologna, Italy and University of Cambridge, Computer Laboratory, William Gates Building, JJ Thomson Avenu ...;Numerical Geometry Ltd, 26 Abbey Lane, Lode, CB5 9EP, UK
Venue:
Computer Aided Geometric Design
Year:
2004

Citing 3
Cited 0

Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes

Computer Aided Geometric Design
Bezier and B-Spline Techniques

Bezier and B-Spline Techniques
Arbitrary Precise Orientation Specification for Layout of Text

PG '00 Proceedings of the 8th Pacific Conference on Computer Graphics and Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

In computer-aided design it is both convenient and practical to use the matrix form in representing parametric curves and surfaces. One of the reasons is that the matrix notation allows an easy conversion between different shape representations and provides a convenient implementation in either hardware or software with available matrix facilities.In this work we propose a very simple and efficient procedure for computing in a recursive way the conversion matrices which provide the direct transformation between uniform B-spline and Bézier representations of arbitrary degrees.