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Positivity preserving using GC1 rational quartic spline

  • Universiti Teknologi Petronas
  • Universiti Sains Malaysia
  • Universiti Kebangsaan Malaysia

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

6 Scopus citations

Abstract

In this paper, we study the shape preserving interpolation for positive data using a rational quartic spline which has a quartic numerator and linear denominator. The rational quartic splines have GC1 continuity at join knots. Simple data dependent constraints are derived on the shape parameters in the description of the rational interpolant. Numerical comparison between the proposed scheme and the existing scheme is discussed. The results indicate that the proposed scheme works well for all tested data sets.

Original languageEnglish
Title of host publicationProceedings of the 20th National Symposium on Mathematical Sciences, SKSM 2012 - Research in Mathematical Sciences
Subtitle of host publicationA Catalyst for Creativity and Innovation
Pages518-525
Number of pages8
DOIs
StatePublished - 2013
Externally publishedYes
Event20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012 - Putrajaya, Malaysia
Duration: 18 Dec 201220 Dec 2012

Publication series

NameAIP Conference Proceedings
Volume1522
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference20th National Symposium on Mathematical Sciences - Research in Mathematical Sciences: A Catalyst for Creativity and Innovation, SKSM 2012
Country/TerritoryMalaysia
CityPutrajaya
Period18/12/1220/12/12

Keywords

  • Interpolation
  • Positivity preserving
  • Rational quartic spline
  • Shape preserving

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