Title :
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
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;
Conference_Titel :
Information Visualization, 1998. Proceedings. 1998 IEEE Conference on
Conference_Location :
London
Print_ISBN :
0-8186-8509-3
DOI :
10.1109/IV.1998.694237
