Interproximation: interpolation and approximation using cubic spline curves

F. Cheng; B. A. Barsky

doi:10.1016/0010-4485(91)90023-P

Interproximation: interpolation and approximation using cubic spline curves

F. Cheng, B. A. Barsky

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

20 Scopus citations

Abstract

An algorithm for the construction of a cubic spline curve with relatively good shape that interpolates specified data points at some knots and passes through specified regions at some other knots is presented. The curve constructed by the algorithm has minimum energy on each of its components. This algorithm has applications in various fields, such as the reconstruction of natural phenomena where data points cannot be sampled exactly, or computer-aided modeling where some of the fitting points cannot be explicitly specified.

Original language	English
Pages (from-to)	700-706
Number of pages	7
Journal	CAD Computer Aided Design
Volume	23
Issue number	10
DOIs	https://doi.org/10.1016/0010-4485(91)90023-P
State	Published - Dec 1991

Keywords

interpolation
splines
uncertain data

ASJC Scopus subject areas

Computer Science Applications
Computer Graphics and Computer-Aided Design
Industrial and Manufacturing Engineering

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10.1016/0010-4485(91)90023-P

Cite this

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title = "Interproximation: interpolation and approximation using cubic spline curves",

abstract = "An algorithm for the construction of a cubic spline curve with relatively good shape that interpolates specified data points at some knots and passes through specified regions at some other knots is presented. The curve constructed by the algorithm has minimum energy on each of its components. This algorithm has applications in various fields, such as the reconstruction of natural phenomena where data points cannot be sampled exactly, or computer-aided modeling where some of the fitting points cannot be explicitly specified.",

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AU - Barsky, B. A.

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AB - An algorithm for the construction of a cubic spline curve with relatively good shape that interpolates specified data points at some knots and passes through specified regions at some other knots is presented. The curve constructed by the algorithm has minimum energy on each of its components. This algorithm has applications in various fields, such as the reconstruction of natural phenomena where data points cannot be sampled exactly, or computer-aided modeling where some of the fitting points cannot be explicitly specified.

KW - interpolation

KW - splines

KW - uncertain data

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Interproximation: interpolation and approximation using cubic spline curves

Abstract

Keywords

ASJC Scopus subject areas

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