Calculation of the Classic-Curvature and the Intensity-Curvature Term Before Interpolation of a Bivariate Polynomial
Автор: Grace Agyapong
Журнал: International Journal of Information Engineering and Electronic Business(IJIEEB) @ijieeb
Статья в выпуске: 6 vol.7, 2015 года.
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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.
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
Короткий адрес: https://sciup.org/15013380
IDR: 15013380
Список литературы Calculation of the Classic-Curvature and the Intensity-Curvature Term Before Interpolation of a Bivariate Polynomial
- A. Goshvarpour, H. Ebrahimnezhad, and A. Goshvarpour, "Classification of epileptic EEG signals using time-delay neural networks and probabilistic neural networks", International Journal of Information Engineering and Electronic Business, vol. 5, no. 1, pp. 59-67, 2013.
- A. K. Keshri, A. Singh, B. N. Das, and R. K. Sinha, "LDA Spike for recognizing epileptic spikes in EEG", International Journal of Information Engineering and Electronic Business, vol. 5, no. 4, pp. 41-50, 2013.
- L. Hussain, and W. Aziz, "Time-frequency wavelet based coherence analysis of EEG in EC and EO during resting state", International Journal of Information Engineering and Electronic Business, vol. 7, no. 5, pp. 55-61, 2015.
- C. Ciulla, T. Takeda, and H. Endo, "MEG characterization of spontaneous alpha rhythm in the human brain", Brain Topography vol. 11, no. 3, pp. 211-222, 1999.
- M. Alfonse, M. M. Aref, and A-B. M. Salem, "An ontology-based system for cancer diseases knowledge management", International Journal of Information Engineering and Electronic Business, vol. 6, no. 6, pp. 55-63, 2014.
- I. Olaronke, G. Ishaya, I. Rhoda, and O. Janet, "Interoperability in Nigeria healthcare system: The ways forward", International Journal of Information Engineering and Electronic Business, vol. 5, no. 4, pp. 16-23, 2013.
- C. Ciulla, D. Veljanovski, U. Rechkoska Shikoska, and F.A. Risteski, "Intensity-curvature measurement approaches for the diagnosis of magnetic resonance imaging brain tumors", Journal of Advanced Research, doi: http://dx.doi.org/10.1016/j.jare.2015.01.001, 2015.
- P.C. Lauterbur, "Image formation by induced local interactions: Examples of employing nuclear magnetic resonance", Nature, vol. 242, pp. 190-191, 1973.
- P. Mansfield, "Proton magnetic resonance relaxation in solids by transient methods", (PhD thesis). Queen Mary College, University of London, 1962.
- E. R. Andrew, "Nuclear magnetic resonance and the brain", Brain Topography, vol. 5, no. 2, pp. 129-133, 1992.
- S.C. Goehde, P. Hunold, F.M. Vogt, W. Ajaj, M. Goyen, C.U. Herborn, M. Forsting, J.F. Debatin, and S.G. Ruehm, "Full-body cardiovascular and tumor MRI for early detection of disease: Feasibility and initial experience in 298 subjects", American Roentgen Ray Society, vol. 184, pp. 598-611, 2004.
- C. Ciulla, "On the calculation of the signal-image classic-curvature: A second order derivatives based approach", International Journal of Emerging Trends & Technology in Computer Science (IJETTCS), vol. 2, no. 4, pp. 158-165, 2013.
- C. Ciulla, U. Rechkoska Shikoska, D. Capeska Bogatinoska, F.A. Risteski, and D. Veljanovski, "On the intensity-curvature functional of the bivariate linear function: The third dimension of magnetic resonance 2D images in a tumor case study", American Journal of Signal Processing, vol. 4, no. 2, pp. 41-48, 2014.
- C. Ciulla, D. Capeska Bogatinoska, F.A. Risteski, and D. Veljanovski, "Computational intelligence in magnetic resonance imaging of the human brain: The classic-curvature and the intensity-curvature functional in a tumor case study", International Journal of Information Engineering and Electronic Business, vol. 6, no. 2, pp. 1-8, 2014.
- C. Ciulla, D. Capeska Bogatinoska, F.A. Risteski, and D. Veljanovski, "Applied computational engineering in magnetic resonance imaging: A tumor case study", International Journal of Image, Graphics and Signal Processing, vol. 6, no. 7, pp. 1-9, 2014.
- C. Ciulla, "The intensity-curvature functional of the trivariate cubic Lagrange interpolation formula", International Journal of Image, Graphics and Signal Processing, vol. 5, no. 10, pp. 36-44, 2013.
- C. Ciulla, U. Rechkoska Shikoska, D. Capeska Bogatinoska, F.A. Risteski, and D. Veljanovski. "Biomedical image processing of magnetic resonance imaging of the pathological human brain: An intensity-curvature based approach", in ICT Innovations 2014, A. Madevska Bogdanova and D. Gjorgjevikj, Eds. Ohrid – Macedonia, 2014, pp. 56-65.