Visualization of Positive Data by Rational Cubic Spline Interpolant

This paper discusses the problem of constructing positive cubic spline interpolation. To obtain smooth curve for positive data, piecewise rational cubic function has been used. In the description of rational interpolant, two families of parameters have been constrained to preserve positive shape of...

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Bibliographic Details
Published in2010 14th International Conference Information Visualisation pp. 564 - 569
Main Authors Sarfraz, Muhammad, Hussain, Malik Zawwar, Shaikh, Tahira Sumbal
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.07.2010
Subjects
Data visualization
Interpolation
Linear systems
Polynomials
Positive
Rational spline
Shape
Shape control
Shape preserving
Spline
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Summary:This paper discusses the problem of constructing positive cubic spline interpolation. To obtain smooth curve for positive data, piecewise rational cubic function has been used. In the description of rational interpolant, two families of parameters have been constrained to preserve positive shape of the data, the rational spline scheme has a unique representation. In addition, to preserve the shape of positive data sets, the degree of smoothness attained is C 2 .
ISBN:1424478464
9781424478460
ISSN:1550-6037
2375-0138
DOI:10.1109/IV.2010.82