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2008•Journal of Fujian Normal UniversityRequires access

A Novel Method for Approximation Using B-spline Curve

Pan Ri-jing

Open publisher page 7 citations

Abstract

A novel method for approximating data points using Bspline curves is proposed.Firstly,the data points are fitted using a B-spline curve with low degree,which is named controlling curve.Secondly,another B-spline curve is finded to approximate the controlling curve,which is named approximating curve.The approach completely avoids the parametrization problem.Futhermore,the approximating curve has a good shape,and the knots are nearly arc-length parametrization.A new placement of knots according to the controlling curve is also proposed.

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What this paper is about

A novel method for approximating data points using Bspline curves is proposed.Firstly,the data points are fitted using a B-spline curve with low degree,which is named controlling curve.Secondly,another B-spline curve is finded to approximate the controlling curve,which is named approximating curve.The approach completely avoids the parametrization problem.Futhermore,the approximating curve has a good shape,and the knots are nearly arc-length parametrization.A new placement of knots according to the controlling curve is also proposed.

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Available abstract

A novel method for approximating data points using Bspline curves is proposed.Firstly,the data points are fitted using a B-spline curve with low degree,which is named controlling curve.Secondly,another B-spline curve is finded to approximate the controlling curve,which is named approximating curve.The approach completely avoids the parametrization problem.Futhermore,the approximating curve has a good shape,and the knots are nearly arc-length parametrization.A new placement of knots according to the controlling curve is also proposed.

Key concepts: Parametrization (atmospheric modeling), Curve fitting, Arc length, Osculating circle, Mathematics, Tripling-oriented Doche–Icart–Kohel curve, B-spline, Stable curve

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