2016/08/10 by Qi Yang, Yang, Qi, Dali Chen +5 · 2 citations
Engineering · Mathematics · #26A33 #Advanced Control Systems Design #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Fractional Differential Equations Solutions #Image Processing Techniques and Applications
paper · pdf · doi:10.48550/arxiv.1608.03240
openalex publication_date 2016/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 derivatives, and many methods are developed to solve the problem of fractional systems. Due to the extra free parameter order, fractional-order based methods provide additional degree of freedom in optimization performance. Not surprisingly, many fractional-order based methods have been used in image processing field. Herein recent studies are reviewed in ten sub-fields, which include image enhancement, image denoising, image edge detection, image segmentation, image registration, image recognition, image fusion, image encryption, image compression and image restoration. In sum, it is well proved that as a fundamental mathematic tool, fractional-order derivative shows great success in image processing.