Non-negative rational spline interpolation

Author

Hussain, Malik Zawwar ; Sarfraz, Muhammad ; Butt, Sohail

Author_Institution

Dept. of Math., Punjab Univ., Lahore, Pakistan

fYear

1997

fDate

27-29 Aug 1997

Firstpage

200

Lastpage

204

Abstract

Scientific visualization is one of the important areas of computer graphics. This paper is concerned with non-negative C¹-interpolation of non-negative data for visualization proposes. Using the rational cubic spline function of Sarfraz et al. (1997), necessary and sufficient conditions have been derived which ensure the generation of a non-negative curve through given non-negative data. In addition to the pleasant display, the scheme provides extra freedom to the users to play with the shape of the curve to modify it according to their desire. This is done through controlling the default curve within the derived constraints

Keywords

computational geometry; data visualisation; interpolation; splines (mathematics); C¹-interpolation; computer graphics; constraints; curve shape modification; default curve control; necessary conditions; nonnegative curve generation; nonnegative rational spline interpolation; rational cubic spline function; scientific visualization; sufficient conditions; Computer displays; Computer graphics; Computer science; Data visualization; Educational institutions; Interpolation; Probability distribution; Shape; Spline; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Visualization, 1997. Proceedings., 1997 IEEE Conference on

Conference_Location

London

ISSN

1093-9547

Print_ISBN

0-8186-8076-8

Type

conf

DOI

10.1109/IV.1997.626516

Filename

626516