Title :
A rational cubic spline for the visualization of convex data
Author :
Habib, Zulfiqar ; Sarfraz, Muhammad
Author_Institution :
Dept. of Math. & Comput. Sci., Kagoshima Univ., Japan
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. A high degree of smoothness is obtained with automatic estimation of two families of shape preserving parameters for local convexity
Keywords :
computational geometry; data visualisation; splines (mathematics); convex data visualization; inflection points; local convexity; necessary and sufficient conditions; piecewise parametric rational cubic spline; rational cubic spline; shape preserving parameters; singularities; smoothness; Computer science; Data visualization; Equations; Interpolation; Linear systems; Mathematics; Minerals; Petroleum; Shape control; Spline;
Conference_Titel :
Information Visualisation, 2001. Proceedings. Fifth International Conference on
Conference_Location :
London
Print_ISBN :
0-7695-1195-3
DOI :
10.1109/IV.2001.942139
