2001•Unpublished venueRequires access

Knot-Removal and Fairing of B-Spline Curves

Man Jia-ju

Abstract

The problem of knot-removal for B-spline curves is investigated in this paper. The sufficient and necessary condition for removing knots of B-spline curves exactly is simplified. Based on the constrained optimization method, a new algorithm of knot-removal is derived by perturbing the control points of B-spline curves. This method can also be used to fair B-spline curves.

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Key concepts: Knot (papermaking), B-spline, Computer science, Curve fitting, Mathematics, Mathematical optimization, Algorithm, Applied mathematics