2006Unpublished venueRequires access

Knots Removal for B-spline Curves and Surfaces

Jianmin Huang

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Abstract

In paper the problem of removing inner knots from the knot sequence of a B-spline curve is discussed,where the theory of generalized inverse matrix is applied and then the necessary and sufficient condition for a inner knot of the B-spline curve being removable is obtained,based on which an algorithm of removing multi-knots is proposed.Experimental results show that the algorithm is reliable and efficient,hence can be applied to practice.

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What this paper is about

In paper the problem of removing inner knots from the knot sequence of a B-spline curve is discussed,where the theory of generalized inverse matrix is applied and then the necessary and sufficient condition for a inner knot of the B-spline curve being removable is obtained,based on which an algorithm of removing multi-knots is proposed.Experimental results show that the algorithm is reliable and efficient,hence can be applied to practice.

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Available abstract

In paper the problem of removing inner knots from the knot sequence of a B-spline curve is discussed,where the theory of generalized inverse matrix is applied and then the necessary and sufficient condition for a inner knot of the B-spline curve being removable is obtained,based on which an algorithm of removing multi-knots is proposed.Experimental results show that the algorithm is reliable and efficient,hence can be applied to practice.

Key concepts: Knot (papermaking), B-spline, Mathematics, Inverse, Curve fitting, Algorithm, Applied mathematics, Mathematical analysis

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