Title: A compilation on the contribution of the classic-curvature and the intensity-curvature functional to the study of healthy and pathological MRI of the human brain

Authors: Carlo Ciulla; Filip A. Risteski; Dimitar Veljanovski; Ustijana Shikoska Rechkoska; Edmund Adomako; Farouk Yahaya

Addresses: University of Information Science and Technology, 'St. Paul the Apostle', Partizanska B.B., 6000, Ohrid, Macedonia ' Department of Radiology, General Hospital 8-mi Septemvri, Boulevard 8th September, 1000, Skopje, Macedonia ' Department of Radiology, General Hospital 8-mi Septemvri, Boulevard 8th September, 1000, Skopje, Macedonia ' University of Information Science and Technology, 'St. Paul the Apostle', Partizanska B.B., 6000, Ohrid, Macedonia ' University of Information Science and Technology, 'St. Paul the Apostle', Partizanska B.B., 6000, Ohrid, Macedonia ' University of Information Science and Technology, 'St. Paul the Apostle', Partizanska B.B., 6000, Ohrid, Macedonia

Abstract: This paper places the emphasis on two intensity-curvature measurement approaches called: 1) classic-curvature (CC); 2) intensity-curvature functional (ICF) and makes a summary on the contribution of the CC and the ICF to the study of magnetic resonance imaging (MRI) of the healthy human brain and also of human brain tumors. The summary is structured referencing earlier related works and also adding evidence of the improvements to MRI imaging: 1) the CC changes the gray scale of the MRI; 2) the ICF shows the visually perceptible third dimension which can identify the tumor contour line; 3) the CC and the ICF are indeed filter masks, which determine two additional domains of the MRI image. Thus, the evidence makes this piece of work different from related research and also indicates that there are four domains in addition to the MRI where is possible to study both healthy and pathological human brains.

Keywords: classic curvature; intensity curvature functional; ICF; bivariate cubic Lagrange polynomial; bivariate linear function; second-order derivative; second-order differentiability; magnetic resonance imaging; healthy MRI; brain tumours; brain scans; MRI scanning; pathological MRI; human brain; tumor contour lines.

DOI: 10.1504/IJAPR.2015.073852

International Journal of Applied Pattern Recognition, 2015 Vol.2 No.3, pp.213 - 234

Received: 29 Jun 2015
Accepted: 12 Jul 2015
Published online: 24 Dec 2015 *

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