INFORMATION CHANGE THE WORLD

International Journal of Information Engineering and Electronic Business(IJIEEB)

ISSN: 2074-9023 (Print), ISSN: 2074-9031 (Online)

Published By: MECS Press

IJIEEB Vol.7, No.6, Nov. 2015

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

Full Text (PDF, 677KB), PP.37-45


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Author(s)

Grace Agyapong

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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