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2,980 Results Found

  • Article
  • Open Access
10 Citations
3,282 Views
20 Pages

Mapping and Monitoring Forest Plantations in São Paulo State, Southeast Brazil, Using Fraction Images Derived from Multiannual Landsat Sensor Images

  • Yosio E. Shimabukuro,
  • Egidio Arai,
  • Gabriel M. da Silva,
  • Andeise C. Dutra,
  • Guilherme Mataveli,
  • Valdete Duarte,
  • Paulo R. Martini,
  • Henrique L. G. Cassol,
  • Danilo S. Ferreira and
  • Luís R. Junqueira

18 October 2022

This article presents a method, based on orbital remote sensing, to map the extent of forest plantations in São Paulo State (Southeast Brazil). The proposed method uses the random forest machine learning algorithm available on the Google Earth...

  • Article
  • Open Access
11 Citations
4,296 Views
20 Pages

Maximum Fraction Images Derived from Year-Based Project for On-Board Autonomy-Vegetation (PROBA-V) Data for the Rapid Assessment of Land Use and Land Cover Areas in Mato Grosso State, Brazil

  • Henrique Luis Godinho Cassol,
  • Egidio Arai,
  • Edson Eyji Sano,
  • Andeise Cerqueira Dutra,
  • Tânia Beatriz Hoffmann and
  • Yosio Edemir Shimabukuro

2 May 2020

This paper presents a new approach for rapidly assessing the extent of land use and land cover (LULC) areas in Mato Grosso state, Brazil. The novel idea is the use of an annual time series of fraction images derived from the linear spectral mixing mo...

  • Article
  • Open Access
33 Citations
4,950 Views
19 Pages

Research on Application of Fractional Calculus Operator in Image Underlying Processing

  • Guo Huang,
  • Hong-ying Qin,
  • Qingli Chen,
  • Zhanzhan Shi,
  • Shan Jiang and
  • Chenying Huang

Fractional calculus extends traditional, integer-based calculus to include non-integer orders, offering a powerful tool for a range of engineering applications, including image processing. This work delves into the utility of fractional calculus in t...

  • Article
  • Open Access
21 Citations
3,768 Views
15 Pages

Fractional-Order Colour Image Processing

  • Manuel Henriques,
  • Duarte Valério,
  • Paulo Gordo and
  • Rui Melicio

24 February 2021

Many image processing algorithms make use of derivatives. In such cases, fractional derivatives allow an extra degree of freedom, which can be used to obtain better results in applications such as edge detection. Published literature concentrates on...

  • Article
  • Open Access
8 Citations
3,247 Views
15 Pages

Depth Image Denoising Algorithm Based on Fractional Calculus

  • Tingsheng Huang,
  • Chunyang Wang and
  • Xuelian Liu

Depth images are often accompanied by unavoidable and unpredictable noise. Depth image denoising algorithms mainly attempt to fill hole data and optimise edges. In this paper, we study in detail the problem of effectively filtering the data of depth...

  • Article
  • Open Access
8 Citations
3,570 Views
15 Pages

Fractional Derivatives Application to Image Fusion Problems

  • Szymon Motłoch,
  • Grzegorz Sarwas and
  • Andrzej Dzieliński

28 January 2022

In this paper, an analysis of the method that uses a fractional order calculus to multispectral images fusion is presented. We analyze some correct basic definitions of the fractional order derivatives that are used in the image processing context. S...

  • Article
  • Open Access
6 Citations
2,715 Views
21 Pages

Depth Image Enhancement Algorithm Based on Fractional Differentiation

  • Tingsheng Huang,
  • Xinjian Wang,
  • Da Xie,
  • Chunyang Wang and
  • Xuelian Liu

Depth image enhancement techniques can help to improve image quality and facilitate computer vision tasks. Traditional image-enhancement methods, which are typically based on integer-order calculus, cannot exploit the textural information of an image...

  • Article
  • Open Access
16 Citations
2,970 Views
29 Pages

2 February 2023

Images are frequently disrupted by noise of all kinds, making image restoration very challenging. There have been many different image denoising models proposed over the last few decades. Some models preserve the image’s smooth region, while ot...

  • Article
  • Open Access
5 Citations
2,443 Views
14 Pages

14 October 2021

The purpose of this paper is to explore a novel image encryption algorithm that is developed by combining the fractional-order Chua’s system and the 1D time-fractional diffusion system of order α∈(0,1]. To this end, we first discuss basic properties...

  • Article
  • Open Access
2 Citations
2,517 Views
19 Pages

Fractional Order Processing of Satellite Images

  • Manuel Henriques,
  • Duarte Valério and
  • Rui Melicio

7 June 2021

Nowadays, satellite images are used in many applications, and their automatic processing is vital. Conventional integer grey-scale edge detection algorithms are often used for this. This study shows that the use of color-based, fractional order edge...

  • Article
  • Open Access
37 Citations
6,539 Views
9 Pages

New Texture Descriptor Based on Modified Fractional Entropy for Digital Image Splicing Forgery Detection

  • Hamid A. Jalab,
  • Thamarai Subramaniam,
  • Rabha W. Ibrahim,
  • Hasan Kahtan and
  • Nurul F. Mohd Noor

5 April 2019

Forgery in digital images is immensely affected by the improvement of image manipulation tools. Image forgery can be classified as image splicing or copy-move on the basis of the image manipulation type. Image splicing involves creating a new tampere...

  • Article
  • Open Access
12 Citations
2,893 Views
17 Pages

Following the traditional total variational denoising model in removing medical image noise with blurred image texture details, among other problems, an adaptive medical image fractional-order total variational denoising model with an improved sparro...

  • Article
  • Open Access
74 Citations
6,352 Views
17 Pages

Fractional-Order Fusion Model for Low-Light Image Enhancement

  • Qiang Dai,
  • Yi-Fei Pu,
  • Ziaur Rahman and
  • Muhammad Aamir

19 April 2019

In this paper, a novel fractional-order fusion model (FFM) is presented for low-light image enhancement. Existing image enhancement methods don’t adequately extract contents from low-light areas, suppress noise, and preserve naturalness. To sol...

  • Article
  • Open Access
14 Citations
2,537 Views
19 Pages

When the image is affected by strong noise and uneven intensity, the traditional active contour models often cannot obtain accurate results. In this paper, a novel adaptive fractional differential active contour image segmentation method is proposed...

  • Article
  • Open Access
43 Citations
3,372 Views
17 Pages

In the paper, an image enhancement algorithm based on a rough set and fractional order differentiator is proposed. By combining the rough set theory with a Gaussian mixture model, a new image segmentation algorithm with higher immunity is obtained. T...

  • Article
  • Open Access
2 Citations
2,437 Views
14 Pages

2 December 2022

The fractional differential algorithm has a good effect on extracting image textures, but it is usually necessary to select an appropriate fractional differential order for textures of different scales, so we propose a novel approach for haptic textu...

  • Article
  • Open Access
11 Citations
2,254 Views
22 Pages

A Novel Fractional Sine Chaotic Map and Its Application to Image Encryption and Watermarking

  • Dhakshinamoorthy Vignesh,
  • Nur Aisyah Abdul Fataf and
  • Santo Banerjee

28 May 2023

This article addresses the telecommunications industry’s priority of ensuring information security during the transition to next-generation networks. It proposes an image encryption system that combines watermarking techniques and a discrete fr...

  • Article
  • Open Access
34 Citations
5,971 Views
11 Pages

Fractional Differential Texture Descriptors Based on the Machado Entropy for Image Splicing Detection

  • Rabha W. Ibrahim,
  • Zahra Moghaddasi,
  • Hamid A. Jalab and
  • Rafidah Md Noor

8 July 2015

Image splicing is a common operation in image forgery. Different techniques of image splicing detection have been utilized to regain people’s trust. This study introduces a texture enhancement technique involving the use of fractional differential ma...

  • Article
  • Open Access
86 Citations
8,244 Views
19 Pages

Pathological Brain Detection by a Novel Image Feature—Fractional Fourier Entropy

  • Shuihua Wang,
  • Yudong Zhang,
  • Xiaojun Yang,
  • Ping Sun,
  • Zhengchao Dong,
  • Aijun Liu and
  • Ti-Fei Yuan

17 December 2015

Aim: To detect pathological brain conditions early is a core procedure for patients so as to have enough time for treatment. Traditional manual detection is either cumbersome, or expensive, or time-consuming. We aim to offer a system that can automat...

  • Article
  • Open Access
20 Citations
2,398 Views
14 Pages

Image Encryption Based on Local Fractional Derivative Complex Logistic Map

  • Hayder Natiq,
  • Nadia M. G. Al-Saidi,
  • Suzan J. Obaiys,
  • Mohammed Najah Mahdi and
  • Alaa Kadhim Farhan

8 September 2022

Local fractional calculus (fractal calculus) plays a crucial role in applications, especially in computer sciences and engineering. One of these applications appears in the theory of chaos. Therefore, this paper studies the dynamics of a fractal comp...

  • Article
  • Open Access
41 Citations
5,950 Views
10 Pages

A New Local Fractional Entropy-Based Model for Kidney MRI Image Enhancement

  • Ala’a R. Al-Shamasneh,
  • Hamid A. Jalab,
  • Shivakumara Palaiahnakote,
  • Unaizah Hanum Obaidellah,
  • Rabha W. Ibrahim and
  • Moumen T. El-Melegy

5 May 2018

Kidney image enhancement is challenging due to the unpredictable quality of MRI images, as well as the nature of kidney diseases. The focus of this work is on kidney images enhancement by proposing a new Local Fractional Entropy (LFE)-based model. Th...

  • Article
  • Open Access
1 Citations
1,772 Views
34 Pages

Image Enhancement Model Based on Fractional Time-Delay and Diffusion Tensor

  • Wenjuan Yao,
  • Yi Huang,
  • Boying Wu and
  • Zhongxiang Zhou

Image enhancement is one of the bases of image processing technology, which can enhance useful features and suppress useless information of images according to the specified task. In order to ensure coherent enhancement for images with oriented flow-...

  • Article
  • Open Access
14 Citations
4,102 Views
15 Pages

3 November 2021

Fractional vegetation cover is a key indicator of rangeland health. However, survey techniques such as line-point intercept transect, pin frame quadrats, and visual cover estimates can be time-consuming and are prone to subjective variations. For thi...

  • Article
  • Open Access
7 Citations
2,004 Views
24 Pages

20 February 2024

We propose a new non-convex fractional-order Weber multiplicative denoising variational generalized function, which leads to a new fractional-order differential equation, and prove the existence of a unique solution to this equation. Furthermore, the...

  • Article
  • Open Access
9 Citations
4,626 Views
25 Pages

5 January 2022

Compared with single-band remote sensing images, multispectral images can obtain information on the same target in different bands. By combining the characteristics of each band, we can obtain clearer enhanced images; therefore, we propose a multispe...

  • Article
  • Open Access
7 Citations
2,998 Views
21 Pages

Invariant Image Representation Using Novel Fractional-Order Polar Harmonic Fourier Moments

  • Chunpeng Wang,
  • Hongling Gao,
  • Meihong Yang,
  • Jian Li,
  • Bin Ma and
  • Qixian Hao

23 February 2021

Continuous orthogonal moments, for which continuous functions are used as kernel functions, are invariant to rotation and scaling, and they have been greatly developed over the recent years. Among continuous orthogonal moments, polar harmonic Fourier...

  • Article
  • Open Access
3 Citations
2,713 Views
19 Pages

A Variational Level Set Image Segmentation Method via Fractional Differentiation

  • Xiangguo Liu,
  • Guojun Liu,
  • Yazhen Wang,
  • Gengsheng Li,
  • Rui Zhang and
  • Weicai Peng

To solve the issues with conventional level set segmentation algorithms, which are sensitive to the initial contours and less noise-resistant, a segmentation model based on the coupling of texture information and structural information is developed....

  • Article
  • Open Access
5 Citations
2,169 Views
18 Pages

Numerical Simultaneous Determination of Non-Uniform Soot Temperature and Volume Fraction from Visible Flame Images

  • Weijie Yan,
  • Zhichao Hu,
  • Kuangyu Li,
  • Xiaoyu Xing,
  • Huifang Gong,
  • Bo Yu and
  • Huaichun Zhou

9 April 2022

This paper presents a method to invert the two-dimensional distribution of a temperature and volume concentration of soot particles from color images. By using numerical simulation, the temperature field and particle volume-concentration field of a n...

  • Article
  • Open Access
2 Citations
1,811 Views
14 Pages

28 September 2021

As a symmetric encryption algorithm, multiple-parameter fractional Fourier transform (MPFRFT) is proposed and applied to image encryption. The MPFRFT with two vector parameters has better security, which becomes the main technical means to protect in...

  • Article
  • Open Access
13 Citations
2,328 Views
24 Pages

To solve the shortcomings of the Otsu image segmentation algorithm based on traditional Moth–Flame Optimization (MFO), such as its poor segmentation accuracy, slow convergence, and tendency to fall into local optimum, this paper proposes fracti...

  • Article
  • Open Access
1,209 Views
81 Pages

Image Inpainting with Fractional Laplacian Regularization: An Lp Norm Approach

  • Hongfang Yuan,
  • Weijie Su,
  • Xiangkai Lian,
  • Zheng-An Yao and
  • Dewen Hu

11 July 2025

This study presents an image inpainting model based on an energy functional that incorporates the Lp norm of the fractional Laplacian operator as a regularization term and the H−1 norm as a fidelity term. Using the properties of the fractional...

  • Article
  • Open Access
2,361 Views
19 Pages

A New Set of 3D Shifted Fractional-Order Gegenbauer Descriptors for Volumetric Image Representation

  • Doaa Sami Khafaga,
  • Amel Ali Alhussan,
  • Mohamed M. Darwish and
  • Khalid M. Hosny

15 December 2022

Volumetric images have a three-dimensional (3D) view, in which viewers can examine their characteristics from any angle. The more accurate the digital representation of volumetric images, the more precise and valuable the assessment of what these ima...

  • Article
  • Open Access
46 Citations
7,730 Views
11 Pages

23 December 2014

In this paper, a new color image encryption algorithm based on a fractional-order hyperchaotic system is proposed. Firstly, four chaotic sequences are generated by a fractional-order hyperchaotic system. The parameters of such a system, together with...

  • Article
  • Open Access
3 Citations
2,179 Views
16 Pages

13 January 2023

Combined with advanced fractional differential mask operation, this paper used a fractional differential to normalize the 5 × 5 mask and conducted experiments to select fractional v = 0.7 to determine the equation. The position of the center of...

  • Article
  • Open Access
10 Citations
2,555 Views
33 Pages

Enhancing Medical Image Quality Using Fractional Order Denoising Integrated with Transfer Learning

  • Abirami Annadurai,
  • Vidhushavarshini Sureshkumar,
  • Dhayanithi Jaganathan and
  • Seshathiri Dhanasekaran

In medical imaging, noise can significantly obscure critical details, complicating diagnosis and treatment. Traditional denoising techniques often struggle to maintain a balance between noise reduction and detail preservation. To address this challen...

  • Article
  • Open Access
2 Citations
898 Views
27 Pages

The rapid development of communication in the last decade has heightened the necessity to create a secure platform for transferring data, including images, more than in previous years. One of the methods of secure image transmission is the encryption...

  • Article
  • Open Access
10 Citations
2,379 Views
20 Pages

10 January 2022

Image segmentation technology is dedicated to the segmentation of intensity inhomogeneous at present. In this paper, we propose a new method that incorporates fractional varying-order differential and local fitting energy to construct a new variation...

  • Article
  • Open Access
3 Citations
2,593 Views
12 Pages

10 November 2022

The detection of edges in images is a pressing issue in the field of image processing. This technique has found widespread application in image pattern recognition, machine vision, and a variety of other areas. The feasibility and effectiveness of gr...

  • Article
  • Open Access
19 Citations
3,582 Views
24 Pages

Recently, generating visually secure cipher images by compressive sensing (CS) techniques has drawn much attention among researchers. However, most of these algorithms generate cipher images based on direct bit substitution and the underlying relatio...

  • Article
  • Open Access
2 Citations
4,973 Views
12 Pages

A fractional-calculus-based model is used to analyze the data obtained from the image analysis of mixtures of olive and soybean oil, which were quantified with the RGB color system. The model consists in a linear fractional differential equation, con...

  • Article
  • Open Access
2 Citations
2,181 Views
24 Pages

7 April 2024

In order to achieve efficient recognition of 3D images and reduce the complexity of network parameters, we proposed a novel 3D image recognition method combining deep neural networks with fractional-order Chebyshev moments. Firstly, the fractional-or...

  • Article
  • Open Access
14 Citations
2,790 Views
30 Pages

Efficient Colour Image Encryption Algorithm Using a New Fractional-Order Memcapacitive Hyperchaotic System

  • Zain-Aldeen S. A. Rahman,
  • Basil H. Jasim,
  • Yasir I. A. Al-Yasir and
  • Raed A. Abd-Alhameed

In comparison with integer-order chaotic systems, fractional-order chaotic systems exhibit more complex dynamics. In recent years, research into fractional chaotic systems for the utilization of image cryptosystems has become increasingly highlighted...

  • Article
  • Open Access
1,078 Views
29 Pages

In this paper, we propose a non-convex model with fractional-order applied to image deblurring problems. In the new model, fractional-order gradients have been introduced to preserve detailed features, and a source term with a blurry kernel is used f...

  • Article
  • Open Access
6 Citations
3,154 Views
31 Pages

FPGA Implementation of Parameter-Switching Scheme to Stabilize Chaos in Fractional Spherical Systems and Usage in Secure Image Transmission

  • Vincent-Ademola Adeyemi,
  • Esteban Tlelo-Cuautle,
  • Yuma Sandoval-Ibarra and
  • Jose-Cruz Nuñez-Perez

The main objective of this work was to implement the parameter-switching chaos control scheme for fractional-order spherical systems and develop a chaos-based image encryption and transmission system. The novelty in the developed secure communication...

  • Article
  • Open Access
6 Citations
2,200 Views
16 Pages

Ultrasound imaging is widely used in medical diagnostics due to its non-invasive and real-time capabilities. However, existing methods often overlook the benefits of fractional-order filters for denoising and dehazing. Thus, this work introduces an e...

  • Article
  • Open Access
9 Citations
4,042 Views
20 Pages

As an essential low-level computer vision task for remotely operated underwater robots and unmanned underwater vehicles to detect and understand the underwater environment, underwater image enhancement is facing challenges of light scattering, absorp...

  • Article
  • Open Access
14 Citations
2,876 Views
23 Pages

27 July 2023

In this paper, we present a novel image denoising algorithm, specifically designed to effectively restore both the edges and texture of images. This is achieved through the use of an innovative model known as the overlapping group sparse fractional-o...

  • Article
  • Open Access
39 Citations
3,196 Views
18 Pages

This paper proposes a new image enhancement algorithm. At first, the paper uses the combination of rough set and particle swarm optimization (PSO) algorithm to distinguish the smooth area, edge and texture area of the image. Then, according to the re...

  • Article
  • Open Access
20 Citations
2,012 Views
17 Pages

A Fractional-Order Memristive Two-Neuron-Based Hopfield Neuron Network: Dynamical Analysis and Application for Image Encryption

  • Jayaraman Venkatesh,
  • Alexander N. Pchelintsev,
  • Anitha Karthikeyan,
  • Fatemeh Parastesh and
  • Sajad Jafari

28 October 2023

This paper presents a study on a memristive two-neuron-based Hopfield neural network with fractional-order derivatives. The equilibrium points of the system are identified, and their stability is analyzed. Bifurcation diagrams are obtained by varying...

  • Article
  • Open Access
4 Citations
5,876 Views
13 Pages

Holographic three-dimensional (3D) imaging of Terra-Cotta Warrior model using Fractional Fourier Transform is introduced in this paper. Phase holograms of Terra-Cotta Warrior model are calculated from 60 horizontal viewing-angles by the use of fracti...

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