Abstract
The paper suggests conditions for preserving the shape properties of the original data using the ternary 4-point non-stationary interpolating subdivision scheme. Sufficient conditions with a suitable selection of the starting tension parameter are determined, which guarantee
to retain the properties of positivity, monotonicity and convexity from
the initial data to the curves generated for a limited number of iterations.
The obtained results are significantly extended in the limiting case for
maintaining such shape properties in the limit functions. The geometric
interpretation of results is depicted through different numerical examples.
Khalida Bibi, Ghazala Akram, Kashif Rehan. (2020) Shape Preservation of Ternary 4-point Non-Stationary Interpolating Subdivision Scheme, Punjab University Journal of Mathematics, Volume 52 , Issue No.1.
-
Views
679 -
Downloads
72
Article Details
Volume
Issue
Type
Language
