An extension algorithm for B-splines by curve unclamping

This paper presents an algorithm for extending B-spline curves and surfaces. Based on the unclamping algorithm for B-spline curves, we propose a new algorithm for extending B-spline curves that extrapolates using the recurrence property of the de Boor algorithm. This algorithm provides a nice extension, with maximum continuity, to the original curve segment. Moreover, it can be applied to the extension of B-spline surfaces. Extension to both single and multiple target points/curves are considered in this paper. q 2002 Elsevier Science Ltd. All rights reserved.

• Type: Journal
• Year: 2002
• Where: CAD
• Authors: Shi-Min Hu, Chiew-Lan Tai, Song-Hai Zhang
• Keywords: Algorithm, B-spline Curves, CAD 2002, Theoretical Computer Science, Unclamping Algorithm