Piecewise interpolation for designing of parametric curves

Author

Sarfraz, Muhammad ; Habib, Zulfiqar ; Hussain, Muhammad

Author_Institution

Dept. of Inf. & Comput. Sci., King Fahd Univ. of Pet. & Miner., Dhahran, Saudi Arabia

fYear

1998

fDate

29-31 Jul 1998

Firstpage

307

Lastpage

313

Abstract

A piecewise rational cubic spline curve has been described. The designed curve possesses parameters (weights) in each interval which can be used to control the shape of the curve. A very simple distance-based approximated derivative scheme is presented to calculate the control points. Also, for any interval, it is possible to calculate control points for intermediate point interpolation or conic curves without affecting the neighborhood. The scheme is local, easy to implement, and suitable for plane as well as space curves

Keywords

curve fitting; interpolation; splines (mathematics); conic curves; control point calculation; curve shape control; distance-based approximated derivative scheme; intermediate point interpolation; interval weights; parametric curve design; piecewise interpolation; piecewise rational cubic spline curve; plane curves; space curves; Computer graphics; Computer science; Educational institutions; Interpolation; Mathematics; Shape control; Spline; Surface reconstruction; Surface topography; Textiles;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Visualization, 1998. Proceedings. 1998 IEEE Conference on

Conference_Location

London

ISSN

1093-9547

Print_ISBN

0-8186-8509-3

Type

conf

DOI

10.1109/IV.1998.694237

Filename

694237