Fractional Calculus In Image Processing: A Review

08/10/2016
by   Qi Yang, et al.
0

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.

READ FULL TEXT

page 8

page 9

page 10

page 11

page 13

page 14

research
10/13/2009

Fractional differentiation based image processing

There are many resources useful for processing images, most of them free...
research
01/05/2021

An efficient feature-preserving PDE algorithm for image denoising based on a spatial-fractional anisotropic diffusion equation

How to effectively remove the noise while preserving the image structure...
research
10/28/2021

Color image restoration with impulse noise based on fractional-order total variation and framelet

Restore lost images due to noise and blurred is a burgeoning subject in ...
research
08/31/2021

On the formulation of fractional Adams-Bashforth method with Atangana-Baleanu-Caputo derivative to model chaotic problems

Mathematical analysis with numerical application of the newly formulated...
research
05/01/2022

Using a novel fractional-order gradient method for CNN back-propagation

Computer-aided diagnosis tools have experienced rapid growth and develop...
research
12/06/2019

Sparse and redundant signal representations for x-ray computed tomography

Image models are central to all image processing tasks. The great advanc...
research
01/18/2023

Representing Noisy Image Without Denoising

A long-standing topic in artificial intelligence is the effective recogn...

Please sign up or login with your details

Forgot password? Click here to reset