Positive modified quadratic Shepard surface.

M. Rafiq Asim; M.  Nadeem

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Positive modified quadratic Shepard surface.

Author(s)

M. Rafiq Asim Department of Computer Science, COMSATS Institute of Information Technology (CIIT), Lahore, Pakistan

M. Nadeem Department of Computer Science, COMSATS Institute of Information Technology (CIIT), Lahore, Pakistan

Abstract

This paper draws a C1 positive surface through a 2D positive data. The technique is basically developed and implemented as a global scheme. The global scheme gives us a basic building block. The application of this basic building block to small subsets of a large data set provides the local version of the underlying global scheme. The way this localization is accomplished is a variant of the one for the original modified quadratic Shepard interpolant. This paper also shows as to how the authors modified the original localization process to suit the requirements of constrained modified quadratic Shepard interpolant. Quite a number of positivity preserving schemes in 2D are available but there is a room for the scheme which deals with data on what ever mesh including zero data and is easily extendable to higher dimensions of any order. This scheme accomplishes the same.

Publication Details

Page(s) 34-39

DOI DOI not available

Published Journal: Pakistan journal of scientific research, Volume: 60, Issue: 3--4, Year: 2008

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