Calculation of the Classic-Curvature and the Intensity-Curvature Term Before Interpolation of a Bivariate Polynomial

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Author(s)

Grace Agyapong 1,*

1. University of Information Science and Technology, ―St. Paul the Apostle‖ Faculty of Communication Network and Security, Ohrid, 6000, Macedonia

* Corresponding author.

DOI: https://doi.org/10.5815/ijieeb.2015.06.06

Received: 16 Jul. 2015 / Revised: 10 Aug. 2015 / Accepted: 25 Sep. 2015 / Published: 8 Nov. 2015

Index Terms

Magnetic Resonance Imaging (MRI), classic-curvature, intensity-curvature term before interpolation, intensity-curvature measurement approaches, first order partial derivative, second order partial derivative, bivariate polynomial, model function, image

Abstract

This paper presents the calculation of the classic-curvature and the intensity-curvature term before interpolation of a bivariate polynomial model function. The classic-curvature is termed as yc (x, y) and the intensity-curvature term before interpolation is termed as E0. The classic-curvature is defined as the sum of the four second order partial derivatives of the bivariate polynomial. The intensity-curvature term before interpolation is defined as the integral of the product between the pixel intensity value termed as f(0, 0) and the classic-curvature calculated at the origin of the coordinate system of the pixel. This paper presents an application of the calculation of classic-curvature and the intensity-curvature term before interpolation using two-dimensional Magnetic Resonance Imaging (MRI) data and reports for the first time in the literature on the behavior of the intensity-curvature term before interpolation.

Cite This Paper

Grace Agyapong, "Calculation of the Classic-Curvature and the Intensity-Curvature Term Before Interpolation of a Bivariate Polynomial", IJIEEB, vol.7, no.6, pp.37-45, 2015. DOI:10.5815/ijieeb.2015.06.06

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