A rational cubic spline for the visualization of convex data

Zulfiqar Habib; Muhammad Sarfraz

doi:10.1109/IV.2001.942139

A rational cubic spline for the visualization of convex data

Zulfiqar Habib, Muhammad Sarfraz

King Fahd University of Petroleum & Minerals

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

6 Scopus citations

Abstract

This paper discusses the distribution of inflection points and singularities on a piecewise parametric rational cubic spline. Necessary and sufficient conditions for a convex data have been presented. High degree of smoothness is obtained with automatic estimation of two families of shape preserving parameters for local convexity.

Original language	English
Title of host publication	Proceedings - 5th International Conference on Information Visualisation, IV 2001
Editors	F. Khosrowshahi, E. Banissi, M. Sarfraz, A. Ursyn
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	744-748
Number of pages	5
ISBN (Electronic)	0769511953
DOIs	https://doi.org/10.1109/IV.2001.942139
State	Published - 2001

Publication series

Name	Proceedings of the International Conference on Information Visualisation
Volume	2001-January
ISSN (Print)	1093-9547

Bibliographical note

Publisher Copyright:
© 2001 IEEE.

ASJC Scopus subject areas

Software
Signal Processing
Computer Vision and Pattern Recognition

Access to Document

10.1109/IV.2001.942139

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Habib, Z., & Sarfraz, M. (2001). A rational cubic spline for the visualization of convex data. In F. Khosrowshahi, E. Banissi, M. Sarfraz, & A. Ursyn (Eds.), Proceedings - 5th International Conference on Information Visualisation, IV 2001 (pp. 744-748). Article 942139 (Proceedings of the International Conference on Information Visualisation; Vol. 2001-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IV.2001.942139

Habib, Zulfiqar ; Sarfraz, Muhammad. / A rational cubic spline for the visualization of convex data. Proceedings - 5th International Conference on Information Visualisation, IV 2001. editor / F. Khosrowshahi ; E. Banissi ; M. Sarfraz ; A. Ursyn. Institute of Electrical and Electronics Engineers Inc., 2001. pp. 744-748 (Proceedings of the International Conference on Information Visualisation).

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title = "A rational cubic spline for the visualization of convex data",

abstract = "This paper discusses the distribution of inflection points and singularities on a piecewise parametric rational cubic spline. Necessary and sufficient conditions for a convex data have been presented. High degree of smoothness is obtained with automatic estimation of two families of shape preserving parameters for local convexity.",

author = "Zulfiqar Habib and Muhammad Sarfraz",

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doi = "10.1109/IV.2001.942139",

language = "English",

series = "Proceedings of the International Conference on Information Visualisation",

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Habib, Z & Sarfraz, M 2001, A rational cubic spline for the visualization of convex data. in F Khosrowshahi, E Banissi, M Sarfraz & A Ursyn (eds), Proceedings - 5th International Conference on Information Visualisation, IV 2001., 942139, Proceedings of the International Conference on Information Visualisation, vol. 2001-January, Institute of Electrical and Electronics Engineers Inc., pp. 744-748. https://doi.org/10.1109/IV.2001.942139

A rational cubic spline for the visualization of convex data. / Habib, Zulfiqar; Sarfraz, Muhammad.
Proceedings - 5th International Conference on Information Visualisation, IV 2001. ed. / F. Khosrowshahi; E. Banissi; M. Sarfraz; A. Ursyn. Institute of Electrical and Electronics Engineers Inc., 2001. p. 744-748 942139 (Proceedings of the International Conference on Information Visualisation; Vol. 2001-January).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - This paper discusses the distribution of inflection points and singularities on a piecewise parametric rational cubic spline. Necessary and sufficient conditions for a convex data have been presented. High degree of smoothness is obtained with automatic estimation of two families of shape preserving parameters for local convexity.

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M3 - Conference contribution

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Habib Z, Sarfraz M. A rational cubic spline for the visualization of convex data. In Khosrowshahi F, Banissi E, Sarfraz M, Ursyn A, editors, Proceedings - 5th International Conference on Information Visualisation, IV 2001. Institute of Electrical and Electronics Engineers Inc. 2001. p. 744-748. 942139. (Proceedings of the International Conference on Information Visualisation). doi: 10.1109/IV.2001.942139

A rational cubic spline for the visualization of convex data

Abstract

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Bibliographical note

ASJC Scopus subject areas

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