A rational cubic spline for the visualization of monotonic data

M. Sarfraz

doi:10.1016/s0097-8493(00)00053-4

A rational cubic spline for the visualization of monotonic data

M. Sarfraz^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

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

53 Scopus citations

Abstract

A smooth curve interpolation scheme for monotonic data has been developed. This scheme uses piecewise rational cubic functions. 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. The degree of smoothness attained is C² which is more powerful than a previous C¹ method.

Original language	English
Pages (from-to)	509-516
Number of pages	8
Journal	Computers and Graphics
Volume	24
Issue number	4
DOIs	https://doi.org/10.1016/s0097-8493(00)00053-4
State	Published - 2000

Bibliographical note

Funding Information:
The author thanks the anonymous referees for their helpful and valuable comments and suggestions. The author also acknowledges the support of PSF, against Project No. P-PU/Maths (17), in the development of this work.

Keywords

Data visualization
Interpolation
Monotone
Rational spline
Shape preserving

ASJC Scopus subject areas

General Engineering
Human-Computer Interaction
Computer Graphics and Computer-Aided Design

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10.1016/s0097-8493(00)00053-4

Cite this

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abstract = "A smooth curve interpolation scheme for monotonic data has been developed. This scheme uses piecewise rational cubic functions. 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. The degree of smoothness attained is C2 which is more powerful than a previous C1 method.",

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PY - 2000

Y1 - 2000

N2 - A smooth curve interpolation scheme for monotonic data has been developed. This scheme uses piecewise rational cubic functions. 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. The degree of smoothness attained is C2 which is more powerful than a previous C1 method.

AB - A smooth curve interpolation scheme for monotonic data has been developed. This scheme uses piecewise rational cubic functions. 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. The degree of smoothness attained is C2 which is more powerful than a previous C1 method.

KW - Data visualization

KW - Interpolation

KW - Monotone

KW - Rational spline

KW - Shape preserving

UR - https://www.scopus.com/pages/publications/0034250875

U2 - 10.1016/s0097-8493(00)00053-4

DO - 10.1016/s0097-8493(00)00053-4

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AN - SCOPUS:0034250875

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JO - Computers and Graphics

JF - Computers and Graphics

IS - 4

ER -

A rational cubic spline for the visualization of monotonic data

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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