Image Edge Detection Using Fractional Calculus with Feature and Contrast Enhancement

• Published in: Circuits, systems, and signal processing Vol. 37; no. 9; pp. 3946 - 3972
• Main Authors: Nandal, Amita, Gamboa-Rosales, Hamurabi, Dhaka, Arvind, Celaya-Padilla, Jose M., Galvan-Tejada, Jorge Issac, Galvan-Tejada, Carlos Eric, Martinez-Ruiz, Francisco Javier, Guzman-Valdivia, Cesar
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.09.2018; Springer Nature B.V
• Subjects: Circuits and Systems; Differential equations; Differentiation; Edge detection; Electrical Engineering; Electronics and Microelectronics; Engineering; Fractional calculus; Frequency domain analysis; Image contrast; Image detection; Image enhancement; Image processing; Image quality; Instrumentation; Mathematical analysis; Operators (mathematics); Performance measurement; Qualitative analysis; Signal,Image and Speech Processing; Texture; Directional component; Shrinking factor; Differential operators; Gaussian noise; Contrast enhancement; Integer-order derivative; Edge component; Edge detection; Corner detection
• ISSN: 0278-081X; 1531-5878
• DOI: 10.1007/s00034-018-0751-6

Edge detection is an important aspect of image processing to improve image edge quality. In the literature, there exist various edge detection techniques in spatial and frequency domains that use integer-order differentiation operators. In this paper, we have implemented feature and contrast enhancement of image using Riemann–Liouville fractional differential operator. Based on the direction of strong edge, we have evaluated edge components and carried out a performance analysis based on several well-known metrics. We have also improved the pixel contrast based on foreground and background gray level. Moreover, by theoretical and experimental results, it is observed that the proposed feature and contrast enhancement outperforms the existing methods under comparison. We have discussed that the edge components calculated using fractional derivative can be used for texture and contrast enhancement. This paper is based on fractional-order differentiation operation to detect edges with the help of the directional edge components across eight directions. The experimental comparison results are shown in tabular form and as qualitative texture results. The six experimental input images are used to analyze various performance metrics. The experiments show that for any grayscale image the proposed method outperforms classical edge detection operators.