Data Visualization Using Rational Trigonometric Spline
Author(s) -
Uzma Bashir,
Jamaludin Md. Ali
Publication year - 2013
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2013/531497
Subject(s) - piecewise , monotone polygon , trigonometry , spline (mechanical) , curve fitting , computer science , algorithm , smoothing spline , mathematics , spline interpolation , artificial intelligence , geometry , mathematical analysis , computer vision , machine learning , structural engineering , engineering , bilinear interpolation
This paper describes the use of trigonometric spline to visualize the given planar data. The goal of this work is to determine the smoothest possible curve that passes through its data points while simultaneously satisfying the shape preserving features of the data. Positive, monotone, and constrained curve interpolating schemes, by using a C1 piecewise rational cubic trigonometric spline with four shape parameters, are developed. Two of these shape parameters are constrained and the other two are set free to preserve the inherited shape features of the data as well as to control the shape of the curve. Numerical examples are given to illustrate the worth of the work
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