Positivity-preserving interpolation of positive data by rational cubics

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:218

Article; Proceedings Paper

Hussain, Malik Zawwar¹  Sarfraz, Muhammad² 

[1] Univ Punjab, Dept Math, Lahore, Pakistan

[2] King Fahd Univ Petr & Minerals, Dept Informat & Comp Sci, Dhahran 31261, Saudi Arabia

关键词: visualization;    positivity;    rational cubics;    rational bicubics;    free parameters;   

DOI  :  10.1016/j.cam.2007.05.023

来源: Elsevier

【 摘 要 】

This work is a contribution towards the graphical display of data when it is positive. The data are required to be represented in such a way that its visual display looks smooth and pleasant, its positive shape is preserved everywhere and the computation cost is economical. A C-1 piecewise rational cubic function, in its most general form, has been utilized for this objective. The method is implemented for the 1D data initially and then it is extended to an interpolating rational bicubic form for the data arranged over a rectangular grid. Simple sufficient conditions are developed on the free parameters in the description of the rational function to visualize the positive data in the form of positive curves and surfaces. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free