Efficient approximation of minimum energy curves with interpolatory constraints

Ruibin Qu; Jieping Ye

doi:10.1016/S0096-3003(99)00006-5

Efficient approximation of minimum energy curves with interpolatory constraints

Ruibin Qu, Jieping Ye

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

3 Scopus citations

Abstract

Different methods for the approximation of a set of data points with interpolatory property and appropriate boundary conditions are investigated with respect to the exact energy value. It is found that for a given set of data points on a plane, the 6-point interpolatory subdivision method could be the best choice among the current widely used methods such as cubic splines and exponential splines due to its simplicity, locality, efficiency and most of all, its near-minimum energy property. Examples and graphics are provided to show these properties of the curves produced by the subdivision algorithm.

Original language	English (US)
Pages (from-to)	151-166
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	109
Issue number	2-3
DOIs	https://doi.org/10.1016/S0096-3003(99)00006-5
State	Published - Mar 15 2000
Externally published	Yes

Keywords

Approximation
Interpolation
Minimal energy curve
Spline
Subdivision algorithm

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/S0096-3003(99)00006-5

Cite this

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abstract = "Different methods for the approximation of a set of data points with interpolatory property and appropriate boundary conditions are investigated with respect to the exact energy value. It is found that for a given set of data points on a plane, the 6-point interpolatory subdivision method could be the best choice among the current widely used methods such as cubic splines and exponential splines due to its simplicity, locality, efficiency and most of all, its near-minimum energy property. Examples and graphics are provided to show these properties of the curves produced by the subdivision algorithm.",

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AU - Ye, Jieping

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AB - Different methods for the approximation of a set of data points with interpolatory property and appropriate boundary conditions are investigated with respect to the exact energy value. It is found that for a given set of data points on a plane, the 6-point interpolatory subdivision method could be the best choice among the current widely used methods such as cubic splines and exponential splines due to its simplicity, locality, efficiency and most of all, its near-minimum energy property. Examples and graphics are provided to show these properties of the curves produced by the subdivision algorithm.

KW - Approximation

KW - Interpolation

KW - Minimal energy curve

KW - Spline

KW - Subdivision algorithm

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JO - Applied Mathematics and Computation

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ER -

Efficient approximation of minimum energy curves with interpolatory constraints

Abstract

Keywords

ASJC Scopus subject areas

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