### 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 language | English |
---|---|

Pages (from-to) | 712-722 |

Number of pages | 11 |

Journal | WSEAS Transactions on Mathematics |

Volume | 8 |

Issue number | 12 |

Publication status | Published - 2009 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*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.

Research output: Contribution to journal › Article

*WSEAS Transactions on Mathematics*, vol. 8, no. 12, pp. 712-722.

}

TY - JOUR

T1 - An improved method for successive data schism and interpolation

AU - Alnuaimy, Ahmed N H

AU - Ismail, Mahamod

AU - Ali, Mohd A M

AU - Jumari, Kasmiran

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

KW - Interpolation

KW - Linear interpolation and smooth curve fitting

KW - Midpoint interpolation

UR - http://www.scopus.com/inward/record.url?scp=73849151101&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=73849151101&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:73849151101

VL - 8

SP - 712

EP - 722

JO - WSEAS Transactions on Mathematics

JF - WSEAS Transactions on Mathematics

SN - 1109-2769

IS - 12

ER -