Visualization of positive and convex data by a rational cubic spline interpolation

Muhammad Sarfraz

doi:10.1016/S0020-0255(02)00209-8

Visualization of positive and convex data by a rational cubic spline interpolation

Muhammad Sarfraz^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

39 Scopus citations

Abstract

A curve interpolation scheme for the visualization of scientific data has been developed. This scheme uses piecewise rational cubic functions and is meant for positive and convex data. The two families of parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. The rational spline scheme has a unique representation. In addition to preserve the shape of positive and/or convex data sets, it also possesses extra features to modify the shape of the design curve as and when desired. The degree of smoothness attained is C¹.

Original language	English
Pages (from-to)	239-254
Number of pages	16
Journal	Information Sciences
Volume	146
Issue number	1-4
DOIs	https://doi.org/10.1016/S0020-0255(02)00209-8
State	Published - Oct 2002

Bibliographical note

Funding Information:
The author acknowledges the support of King Fahd University of Petroleum and Minerals in the development of this work. The author also likes to thank for the anonymous referee’s valuable comments in the improvement of this manuscript.

Keywords

Convex
Data visualization
Interpolation
Positive
Rational spline

ASJC Scopus subject areas

Software
Control and Systems Engineering
Theoretical Computer Science
Computer Science Applications
Information Systems and Management
Artificial Intelligence

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10.1016/S0020-0255(02)00209-8

Cite this

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title = "Visualization of positive and convex data by a rational cubic spline interpolation",

abstract = "A curve interpolation scheme for the visualization of scientific data has been developed. This scheme uses piecewise rational cubic functions and is meant for positive and convex data. The two families of parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. The rational spline scheme has a unique representation. In addition to preserve the shape of positive and/or convex data sets, it also possesses extra features to modify the shape of the design curve as and when desired. The degree of smoothness attained is C1.",

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author = "Muhammad Sarfraz",

note = "Funding Information: The author acknowledges the support of King Fahd University of Petroleum and Minerals in the development of this work. The author also likes to thank for the anonymous referee{\textquoteright}s valuable comments in the improvement of this manuscript.",

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AU - Sarfraz, Muhammad

N1 - Funding Information: The author acknowledges the support of King Fahd University of Petroleum and Minerals in the development of this work. The author also likes to thank for the anonymous referee’s valuable comments in the improvement of this manuscript.

PY - 2002/10

Y1 - 2002/10

N2 - A curve interpolation scheme for the visualization of scientific data has been developed. This scheme uses piecewise rational cubic functions and is meant for positive and convex data. The two families of parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. The rational spline scheme has a unique representation. In addition to preserve the shape of positive and/or convex data sets, it also possesses extra features to modify the shape of the design curve as and when desired. The degree of smoothness attained is C1.

AB - A curve interpolation scheme for the visualization of scientific data has been developed. This scheme uses piecewise rational cubic functions and is meant for positive and convex data. The two families of parameters, in the description of the rational interpolant, have been constrained to preserve the shape of the data. The rational spline scheme has a unique representation. In addition to preserve the shape of positive and/or convex data sets, it also possesses extra features to modify the shape of the design curve as and when desired. The degree of smoothness attained is C1.

KW - Convex

KW - Data visualization

KW - Interpolation

KW - Positive

KW - Rational spline

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VL - 146

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JO - Information Sciences

JF - Information Sciences

IS - 1-4

ER -

Visualization of positive and convex data by a rational cubic spline interpolation

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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