Fairing of parametric cubic splines

J. Ye; R. Qu

doi:10.1016/S0895-7177(99)00152-1

Fairing of parametric cubic splines

J. Ye, R. Qu

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

The generation of smooth curves from a given set of data points is a very important problem in the field of Computer Aided Geometric Design. Cubic splines are widely used in practical applications, because of its simple mathematics and computation. However, these curves could sometimes oscillate and introduce unwanted inflexions. This paper develops an iterative method similar to Kjellander's to eliminate these oscillations and inflexions.

Original language	English (US)
Pages (from-to)	121-131
Number of pages	11
Journal	Mathematical and Computer Modelling
Volume	30
Issue number	5-6
DOIs	https://doi.org/10.1016/S0895-7177(99)00152-1
State	Published - Sep 1999
Externally published	Yes

Keywords

Approximation
Curvature
Ferguson spline
Minimal energy curve

ASJC Scopus subject areas

Modeling and Simulation
Computer Science Applications

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10.1016/S0895-7177(99)00152-1

Cite this

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abstract = "The generation of smooth curves from a given set of data points is a very important problem in the field of Computer Aided Geometric Design. Cubic splines are widely used in practical applications, because of its simple mathematics and computation. However, these curves could sometimes oscillate and introduce unwanted inflexions. This paper develops an iterative method similar to Kjellander's to eliminate these oscillations and inflexions.",

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AU - Qu, R.

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AB - The generation of smooth curves from a given set of data points is a very important problem in the field of Computer Aided Geometric Design. Cubic splines are widely used in practical applications, because of its simple mathematics and computation. However, these curves could sometimes oscillate and introduce unwanted inflexions. This paper develops an iterative method similar to Kjellander's to eliminate these oscillations and inflexions.

KW - Approximation

KW - Curvature

KW - Ferguson spline

KW - Minimal energy curve

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Fairing of parametric cubic splines

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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