Analysis of Fractional Difference Schemes with Application to Radiographic Images

Abstract

Visual inspection of radiographic images by radiologists is a regular practice in making a diagnosis. Thus the enhancement of details in radiographs can improve inspection and diagnosis certainty. Through this paper we perform the analysis of the fractional gradient for visual improvement of chest radiographs. Two implementations of the fractional derivative operator, based on central fractional differences, are evaluated. Also we tested two norms for calculation of the magnitude of the fractional gradient, Euclidean and infimum norm, and the conducted tests for both norms are consistent.

Keywords

• Fractional calculus
• fractional derivative
• gradient operators
• image enhancement
• radiographic images