Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1143.65010
Hussain, Malik Zawwar; Sarfraz, Muhammad
Positivity-preserving interpolation of positive data by rational cubics. (English)
[J] J. Comput. Appl. Math. 218, No. 2, 446-458 (2008). ISSN 0377-0427

Summary: 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.

MSC 2000:: *65D05 Interpolation (numerical methods)
65D17 Computer aided design (modeling of curves and surfaces)
65D18 Computer graphics and computational geometry

Keywords: visualization; positivity; rational bicubics; free parameters; numerical examples

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]