Conic representation of a rational cubic spline

Muhammad Sarfraz; Zulfiqar Habib

doi:10.1109/IV.1999.781564

Conic representation of a rational cubic spline

Muhammad Sarfraz, Zulfiqar Habib

King Fahd University of Petroleum & Minerals

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

4 Scopus citations

Abstract

A rational cubic spline, with on family of shape parameters, has been discussed with the view to its application in Computer Graphics. It incorporates both conic sections and parametric cubic curves as special cases. The parameters (weights), in the description of the spline curve can be used to modify the shape of the curve, locally and globally, at the knot intervals. The rational cubic spline attains parametric C2 smoothness whereas the stitching of the conic segments preserves visually reasonable smoothness at the neighboring knots. The curve scheme is interpolatory and can plot parabolic, hyperbolic, elliptic, and circular splines independently as well as bits and pieces of a rational cubic spline.

Original language	English
Title of host publication	Proceedings - 1999 IEEE International Conference on Information Visualization
Subtitle of host publication	An International Conference on Computer Visualization and Graphics, IV 1999
Editors	A. Ursyn, E. Banissi, M. Sarfraz, E. Tatham, F. Khosrowshahi
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	232-237
Number of pages	6
ISBN (Electronic)	0769502105
DOIs	https://doi.org/10.1109/IV.1999.781564
State	Published - 1999

Publication series

Name	Proceedings of the International Conference on Information Visualisation
Volume	1999-January
ISSN (Print)	1093-9547

Bibliographical note

Publisher Copyright:
© 1999 IEEE.

ASJC Scopus subject areas

Software
Signal Processing
Computer Vision and Pattern Recognition

Access to Document

10.1109/IV.1999.781564

Cite this

Sarfraz, M., & Habib, Z. (1999). Conic representation of a rational cubic spline. In A. Ursyn, E. Banissi, M. Sarfraz, E. Tatham, & F. Khosrowshahi (Eds.), Proceedings - 1999 IEEE International Conference on Information Visualization: An International Conference on Computer Visualization and Graphics, IV 1999 (pp. 232-237). Article 781564 (Proceedings of the International Conference on Information Visualisation; Vol. 1999-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/IV.1999.781564

Sarfraz, Muhammad ; Habib, Zulfiqar. / Conic representation of a rational cubic spline. Proceedings - 1999 IEEE International Conference on Information Visualization: An International Conference on Computer Visualization and Graphics, IV 1999. editor / A. Ursyn ; E. Banissi ; M. Sarfraz ; E. Tatham ; F. Khosrowshahi. Institute of Electrical and Electronics Engineers Inc., 1999. pp. 232-237 (Proceedings of the International Conference on Information Visualisation).

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abstract = "A rational cubic spline, with on family of shape parameters, has been discussed with the view to its application in Computer Graphics. It incorporates both conic sections and parametric cubic curves as special cases. The parameters (weights), in the description of the spline curve can be used to modify the shape of the curve, locally and globally, at the knot intervals. The rational cubic spline attains parametric C2 smoothness whereas the stitching of the conic segments preserves visually reasonable smoothness at the neighboring knots. The curve scheme is interpolatory and can plot parabolic, hyperbolic, elliptic, and circular splines independently as well as bits and pieces of a rational cubic spline.",

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Sarfraz, M & Habib, Z 1999, Conic representation of a rational cubic spline. in A Ursyn, E Banissi, M Sarfraz, E Tatham & F Khosrowshahi (eds), Proceedings - 1999 IEEE International Conference on Information Visualization: An International Conference on Computer Visualization and Graphics, IV 1999., 781564, Proceedings of the International Conference on Information Visualisation, vol. 1999-January, Institute of Electrical and Electronics Engineers Inc., pp. 232-237. https://doi.org/10.1109/IV.1999.781564

Conic representation of a rational cubic spline. / Sarfraz, Muhammad; Habib, Zulfiqar.
Proceedings - 1999 IEEE International Conference on Information Visualization: An International Conference on Computer Visualization and Graphics, IV 1999. ed. / A. Ursyn; E. Banissi; M. Sarfraz; E. Tatham; F. Khosrowshahi. Institute of Electrical and Electronics Engineers Inc., 1999. p. 232-237 781564 (Proceedings of the International Conference on Information Visualisation; Vol. 1999-January).

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

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Sarfraz M, Habib Z. Conic representation of a rational cubic spline. In Ursyn A, Banissi E, Sarfraz M, Tatham E, Khosrowshahi F, editors, Proceedings - 1999 IEEE International Conference on Information Visualization: An International Conference on Computer Visualization and Graphics, IV 1999. Institute of Electrical and Electronics Engineers Inc. 1999. p. 232-237. 781564. (Proceedings of the International Conference on Information Visualisation). doi: 10.1109/IV.1999.781564

Conic representation of a rational cubic spline

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