Publication:
Shape preserving data interpolation using rational cubic ball functions
Shape preserving data interpolation using rational cubic ball functions
Date
2015
Authors
Ayser Nasir Hassan Tahat
Abd Rahni Mt Piah
Zainor Ridzuan Yahya
Journal Title
Journal ISSN
Volume Title
Publisher
Research Projects
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Journal Issue
Abstract
A smooth curve interpolation scheme for positive, monotone, and convex data is developed.This scheme uses rational cubic Ball representation with four shape parameters in its description. Conditions of two shape parameters are derived in such a way that they preserve the shape of the data, whereas the other two parameters remain free to enable the user to modify the shape of the curve. The degree of smoothness is 𝐶1.The outputs from a number of numerical experiments are presented.