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

Producción científica: Article › revisión exhaustiva

21 Citas (Scopus)

Resumen

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.

Idioma original	English
Páginas (desde-hasta)	700-706
Número de páginas	7
Publicación	CAD Computer Aided Design
Volumen	23
N.º	10
DOI	https://doi.org/10.1016/0010-4485(91)90023-P
Estado	Published - dic 1991

ASJC Scopus subject areas

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

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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 - Cheng, F.

AU - Barsky, B. A.

PY - 1991/12

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N2 - 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.

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

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