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1997•Chinese Journal of ComputersRequires access

TWO ALGORITHMS FOR INSERTING KNOTS INTO B-SPLINE CURVES

Kaihuai Qin

Open publisher page 4 citations

Abstract

It has been found that errors will occur when the conventional algorithms for knot insertion are used for inserting knots near the endpoints of the knot vector into a uniform B-spline curve. Two algorithms for inserting new knots into B-spline curves are presented in this paper. Unlike the conventional algorithms such as the Boehm's or Olso-algorithm, the new algorithms can efficiently be used for inserting any knots into various B-spline curves including uniform and nonuniform B-spline curves. One of their applications is that the new algorithms can be used for degree raising of both uniform and nonuniform B-spline curves.

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What this paper is about

It has been found that errors will occur when the conventional algorithms for knot insertion are used for inserting knots near the endpoints of the knot vector into a uniform B-spline curve. Two algorithms for inserting new knots into B-spline curves are presented in this paper. Unlike the conventional algorithms such as the Boehm's or Olso-algorithm, the new algorithms can efficiently be used for inserting any knots into various B-spline curves including uniform and nonuniform B-spline curves. One of their applications is that the new algorithms can be used for degree raising of both uniform and nonuniform B-spline curves.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

It has been found that errors will occur when the conventional algorithms for knot insertion are used for inserting knots near the endpoints of the knot vector into a uniform B-spline curve. Two algorithms for inserting new knots into B-spline curves are presented in this paper. Unlike the conventional algorithms such as the Boehm's or Olso-algorithm, the new algorithms can efficiently be used for inserting any knots into various B-spline curves including uniform and nonuniform B-spline curves. One of their applications is that the new algorithms can be used for degree raising of both uniform and nonuniform B-spline curves.

Key concepts: Knot (papermaking), Algorithm, Mathematics, B-spline, Spline (mechanical), Computer science, Geometry, Mathematical analysis

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