Fractional calculus in image processing: a review

Q Yang, D Chen, T Zhao, YQ Chen - Fractional Calculus and Applied …, 2016 - degruyter.com
Over the last decade, it has been demonstrated that many systems in science and
engineering can be modeled more accurately by fractional-order than integer-order …

A review of recent advances in fractional-order sensing and filtering techniques

CI Muresan, IR Birs, EH Dulf, D Copot, L Miclea - Sensors, 2021 - mdpi.com
The present manuscript aims at raising awareness of the endless possibilities of fractional
calculus applied not only to system identification and control engineering, but also into …

Applications of fractional calculus in computer vision: a survey

S Arora, T Mathur, S Agarwal, K Tiwari, P Gupta - Neurocomputing, 2022 - Elsevier
Fractional calculus is an abstract idea exploring interpretations of differentiation having non-
integer order. For a very long time, it was considered as a topic of mere theoretical interest …

A new application of fractional Atangana–Baleanu derivatives: designing ABC-fractional masks in image processing

B Ghanbari, A Atangana - Physica A: Statistical Mechanics and its …, 2020 - Elsevier
Based on a new definition for derivative and integral of fractional-order, several fractional
masks have been presented for the use of image denoising. In each method, the process …

Detection and classification of groundnut leaf nutrient level extraction in RGB images

M Janani, R Jebakumar - Advances in Engineering Software, 2023 - Elsevier
In agriculture, identifying the deficient or excess nutrients in the leaf is a significant concern
for attaining the higher yield and productivity of any crop. Several image processing …

A fractional filter based efficient algorithm for retinal blood vessel segmentation

AK Shukla, RK Pandey, RB Pachori - Biomedical Signal Processing and …, 2020 - Elsevier
This paper presents a new fractional filter and an algorithm for retinal blood vessel
segmentation. The proposed fractional filter is designed with the help of a weighted …

Blood vessel segmentation in retinal fundus images using Gabor filters, fractional derivatives, and Expectation Maximization

H Aguirre-Ramos, JG Avina-Cervantes… - Applied Mathematics …, 2018 - Elsevier
In recent decades, the eye diseases have become the leading causes of blindness in young
adults. Most of the cases can be prevented if detected in the early stages. For instance, the …

Riesz fractional based model for enhancing license plate detection and recognition

KS Raghunandan, P Shivakumara… - … on Circuits and …, 2017 - ieeexplore.ieee.org
One of the major causes of poor results in license plate recognition is low quality of images
affected by multiple factors, such as severe illumination condition, complex background …

Image denoising and enhancement based on adaptive fractional calculus of small probability strategy

B Li, W Xie - Neurocomputing, 2016 - Elsevier
This paper presents two methods to deal with the problem that traditional image denoising
algorithms may easily neglect image texture details. The first one is global adaptive …

Generalized fractional filter-based algorithm for image denoising

AK Shukla, RK Pandey, S Yadav… - Circuits, Systems, and …, 2020 - Springer
This paper presents a new algorithm for image denoising using a fractional integral mask of
the K-operator. K-operator is the generalized fractional operator, and it reduces to Riemann …