Piecewise interpolation for designing of parametric curves

M. Sarfraz; Z. Habib; M. Hussain

doi:10.1109/IV.1998.694237

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Conference proceeding

Piecewise interpolation for designing of parametric curves

M. Sarfraz, Z. Habib and M. Hussain

Proceedings. 1998 IEEE Conference on Information Visualization. An International Conference on Computer Visualization and Graphics (Cat. No.98TB100246), pp.307-313

1998

DOI: https://doi.org/10.1109/IV.1998.694237

Abstract

Computer graphics

Computer science

Educational institutions

Interpolation

Mathematics

Shape control

Spline

Surface reconstruction

Surface topography

Textiles

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.

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Title: Piecewise interpolation for designing of parametric curves
Creators - without role: M. Sarfraz - King Fahd University of Petroleum and Minerals
Z. Habib
M. Hussain
Publication Details: Proceedings. 1998 IEEE Conference on Information Visualization. An International Conference on Computer Visualization and Graphics (Cat. No.98TB100246), pp.307-313
Publisher: IEEE
Identifiers: 9951748908331
Academic Unit: King Saud University
Language: English
Resource Type: Conference proceeding