Huang, G.; Qin, H.-Y.; Chen, Q.; Shi, Z.; Jiang, S.; Huang, C. Research on Application of Fractional Calculus Operator in Image Underlying Processing. Fractal Fract.2024, 8, 37.
Huang, G.; Qin, H.-Y.; Chen, Q.; Shi, Z.; Jiang, S.; Huang, C. Research on Application of Fractional Calculus Operator in Image Underlying Processing. Fractal Fract. 2024, 8, 37.
Huang, G.; Qin, H.-Y.; Chen, Q.; Shi, Z.; Jiang, S.; Huang, C. Research on Application of Fractional Calculus Operator in Image Underlying Processing. Fractal Fract.2024, 8, 37.
Huang, G.; Qin, H.-Y.; Chen, Q.; Shi, Z.; Jiang, S.; Huang, C. Research on Application of Fractional Calculus Operator in Image Underlying Processing. Fractal Fract. 2024, 8, 37.
Abstract
The theory of fractional calculus extends the order of classical integer calculus from integer to non-integer. As a new engineering application tool, it has made many important research achievements in many fields, including image processing. This paper mainly studies the application of fractional calculus theory in image enhancement and denoising, including the basic theory of fractional calculus and its amplitude frequency characteristics, the application of fractional differential operator in image enhancement, and the application of fractional integral operator in image denoising. The experimental results show that the fractional calculus theory has more special advantages in image enhancement and denoising. Compared with the existing integer order image enhancement operators, the fractional differential operator can more effectively enhance the "weak edge" and "strong texture" details of the image. The fractional order integral image denoising operator can not only improve the signal-to-noise ratio of the image compared to traditional denoising methods, but also better preserve detailed information such as edges and textures of the image.
Keywords
Fractional order differential operator; Fractional order integral operator; Image enhancement; Image denoising
Subject
Engineering, Electrical and Electronic Engineering
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
