An improved method for successive data schism and interpolation

Ahmed N H Alnuaimy, Mahamod Ismail, Mohd A M Ali, Kasmiran Jumari

Research output: Contribution to journalArticle

Abstract

This paper presents an improved type of data schism and interpolation called Alnuaimy-Mahamod Interpolation based on the mean and variance to calculate the entire point between two known points. A new mathematical method is developed for interpolation from a given set of data points in a plane and for fitting a smooth curve to the points. This method is devised in such a way that the resultant curve will pass through the given points and will appear smooth and natural. Data schism and interpolation describes the behaviors of the calculated points which behave as bacteria reproduction. This type of interpolation based on calculation of the mean and the variance of two adjacent points and modify of these calculate values by named factors to be used to calculate the entire points. Our type of interpolation can be working as linear midpoint interpolation, linear interpolation and smooth curve fitting.

Original languageEnglish
Pages (from-to)712-722
Number of pages11
JournalWSEAS Transactions on Mathematics
Volume8
Issue number12
Publication statusPublished - 2009

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Interpolation
Interpolate
Reproduction
Bacteria
Calculate
Entire
Curve
Linear Interpolation
Midpoint
Curve fitting
Adjacent
Datasets

Keywords

  • Interpolation
  • Linear interpolation and smooth curve fitting
  • Midpoint interpolation

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Alnuaimy, A. N. H., Ismail, M., Ali, M. A. M., & Jumari, K. (2009). An improved method for successive data schism and interpolation. WSEAS Transactions on Mathematics, 8(12), 712-722.

An improved method for successive data schism and interpolation. / Alnuaimy, Ahmed N H; Ismail, Mahamod; Ali, Mohd A M; Jumari, Kasmiran.

In: WSEAS Transactions on Mathematics, Vol. 8, No. 12, 2009, p. 712-722.

Research output: Contribution to journalArticle

Alnuaimy, ANH, Ismail, M, Ali, MAM & Jumari, K 2009, 'An improved method for successive data schism and interpolation', WSEAS Transactions on Mathematics, vol. 8, no. 12, pp. 712-722.
Alnuaimy, Ahmed N H ; Ismail, Mahamod ; Ali, Mohd A M ; Jumari, Kasmiran. / An improved method for successive data schism and interpolation. In: WSEAS Transactions on Mathematics. 2009 ; Vol. 8, No. 12. pp. 712-722.
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