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Novel Multi-Channel Fractional-Order Radial Harmonic Fourier Moments for Color Image Analysis

Khalid M. Hosny, Mohamed M. Darwish, Mohamed Meselhy Eltoukhy
2020 IEEE Access  
The classical radial harmonic Fourier moments (RHFMs) and the quaternion radial harmonic Fourier moments (QRHFMs) are gray-scale and color image descriptors.  ...  The obtained functions are used to defined novel multi-channel fractional-order radial harmonic moments (FrMRHFMs) for color image description and analysis.  ...  approach to derived a novel set of multi-channel fractional-order radial harmonic Fourier moments (FrMRHFMs) for color image analysis.  ... 
doi:10.1109/access.2020.2976759 fatcat:jdcbmwe3avh4nj7rnq4rabehoe

Accurate Quaternion Polar Harmonic Transform for Color Image Analysis

Lina Zhang, Yu Sang, Donghai Dai, Ahmed Farouk
2021 Scientific Programming  
First, to holistically handle color images, quaternion-based PHTs are introduced by using the algebra of quaternions.  ...  This paper presents a novel computational framework of quaternion polar harmonic transforms (QPHTs), namely, accurate QPHTs (AQPHTs).  ...  [11] , quaternion polar harmonic Fourier moments (QPHFMs) [12] , and quaternion polar harmonic transforms (QPHTs) [13, 14] , Although various quaternion image orthogonal moments have been proposed by  ... 
doi:10.1155/2021/7162779 fatcat:ue2brcudmzfktn6j4f3jwuo27y

Geometrically Invariant Color Medical Image Null-watermarking based on Precise Quaternion Polar Harmonic Fourier Moments

Zhiqiu Xia, Xingyuan Wang, Mingxu Wang, Salahuddin Unar, Chunpeng Wangb, Ying Liu, Xiaoxiao Li
2019 IEEE Access  
In order to overcome this limitation, this paper proposes a geometrically invariant color medical image null-watermarking scheme based on quaternion polar harmonic Fourier moments (QPHFM), which achieves  ...  INDEX TERMS Geometric attack, image flipping, length-width ratio change, null-watermarking, precise quaternion polar harmonic Fourier moments. 122544 This work is licensed under a Creative Commons Attribution  ...  QUATERNION POLAR HARMONIC FOURIER MOMENTS OF COLOR IMAGES A.  ... 
doi:10.1109/access.2019.2935174 fatcat:5pdadl6n2fernggfdba2riz6qu

Reconstruction of color biomedical images by means of quaternion generic Jacobi-Fourier moments in the framework of polar pixels

César Camacho-Bello, Alfonso Padilla-Vivanco, Carina Toxqui-Quitl, José Javier Báez-Rojas
2016 Journal of Medical Imaging  
A detailed analysis of the quaternion generic Jacobi-Fourier moments (QGJFMs) for color image description is presented.  ...  To prove the mathematical theory, some color images from optical microscopy and human retina are used. Experiments and results about color image reconstruction are presented.  ...  Camacho-Bello thanks CONACyT for the scholarship with number 423493.  ... 
doi:10.1117/1.jmi.3.1.014004 pmid:27014716 pmcid:PMC4786744 fatcat:fda7imp52vbthjmmngftyulpgu

New Color Image Zero-Watermarking Using Orthogonal Multi-Channel Fractional-Order Legendre-Fourier Moments

Khalid M. Hosny, Mohamed M. Darwish, Mostafa M. Fouda
2021 IEEE Access  
In this paper, a novel zerowatermarking method for color images is envisioned.  ...  INDEX TERMS Color images, zero-watermarking, orthogonal moments of fractional orders, attacks.  ...  [26] proposed a null watermarking medical image algorithm based on geometrically invariant quaternion polar harmonic Fourier moments (QPHFM).  ... 
doi:10.1109/access.2021.3091614 fatcat:hoxhbcoivfdndaegyg35whckte

Robust Color Images Watermarking Using New Fractional-Order Exponent Moments

Khalid M. Hosny, Mohamed M. Darwish, Mostafa M. Fouda
2021 IEEE Access  
[25] combined invariant accurate polar harmonic Fourier moments with chaotic mapping for robust watermarking of grey-level images.  ...  On the other side, researchers utilized orthogonal quaternion moments such as exponent moments (QEMs) [14] , radial harmonic Fourier moments (QRHFMs) [15] , and polar harmonic transforms (QPHTs) [16  ... 
doi:10.1109/access.2021.3068211 fatcat:gxyw4ayvu5hkvomtitdocuy5tu

Quaternion fractional-order color orthogonal moment-based image representation and recognition

Bing He, Jun Liu, Tengfei Yang, Bin Xiao, Yanguo Peng
2021 EURASIP Journal on Image and Video Processing  
than circularly orthogonal moments constructed in polar coordinates.  ...  Firstly, the proposed QFr-GLMs are directly constructed in Cartesian coordinate space, avoiding the need for conversion between Cartesian and polar coordinates; therefore, they are better image descriptors  ...  Authors' contributions Jun Liu developed the idea for the study proposed moments and contributed the central idea in our manuscript, Bing He did the analyses for the properties of the proposed image moments  ... 
doi:10.1186/s13640-021-00553-7 fatcat:lmkeq53henfbzapuv6p6ry6nfu

Color Image Analysis by Quaternion-Type Moments

Beijing Chen, Huazhong Shu, Gouenou Coatrieux, Gang Chen, Xingming Sun, Jean Louis Coatrieux
2014 Journal of Mathematical Imaging and Vision  
decomposition [6, 7], Fourier-Mellin transform [25], polar harmonic transform [26], and moments [12, 13, 15].  ...  Recently, the use of quaternion-based moment functions for color images has been investigated [12, 13, 15].  ...  This was also proved by Li using quaternion polar harmonic transform through experiments with 100 randomly generated µ [26] .  ... 
doi:10.1007/s10851-014-0511-6 fatcat:fv5ythriovfrlds4tf4mxuajeq

Hybrid watermarking algorithm using Clifford Algebra with Arnold Scrambling and Chaotic Encryption

Uzair Aslam Bhatti, Linwang Yuan, Zhaoyuan Yu, JingBing Li, Saqib Ali Nawaz, Anum Mehmood, Kun Zhang
2020 IEEE Access  
We used Quaternion, which is a sub-algebra of GA, and effectively handled color image processing by using Fourier transformation.  ...  The use of color images as watermarks has advantages over binary and irreplaceable grayscale images.  ...  Hosny and Darwish [44] constructed watermarking algorithm using Quaternion Legendre-Fourier moments (QLFM) in polar coordinates, and proposed geometrically invariant color image watermarking scheme.  ... 
doi:10.1109/access.2020.2988298 fatcat:dio7wd2dlza4haypwdewyulnrq

A Survey of Orthogonal Moments for Image Representation: Theory, Implementation, and Evaluation [article]

Shuren Qi, Yushu Zhang, Chao Wang, Jiantao Zhou, Xiaochun Cao
2021 arXiv   pre-print
This paper presents a comprehensive survey of the orthogonal moments for image representation, covering recent advances in fast/accurate calculation, robustness/invariance optimization, definition extension  ...  We also create a software package for a variety of widely-used orthogonal moments and evaluate such methods in a same base.  ...  moments Orthogonal Fourier-Mellin moments Chebyshev- Fourier moments Pseudo Jacobi- Fourier moments Jacobi-Fourier moments Radial harmonic Fourier moments Exponent- Fourier moments  ... 
arXiv:2103.14799v2 fatcat:4xa2sguwoffbleftkqggcl4cg4

Quaternion Discrete Fourier Transform-Based Color Image Watermarking Method Using Quaternion QR Decomposition

Mianjie Li, Xiaochen Yuan, Hai Chen, Jianqing Li
2020 IEEE Access  
In this paper, a new Quaternion Discrete Fourier Transform (QDFT)-based digital color image watermarking method is presented.  ...  First of all, the QDFT and QQR decomposition are performed on the host image, respectively, to acquire the scalar part of the quaternion matrix for watermark information embedding.  ...  [20] presented quaternion polar harmonic transforms-based digital watermarking method using chaotic system. Yang et al.  ... 
doi:10.1109/access.2020.2987914 fatcat:cp6i6vpb2vgy3f3zvgwo7w6vpq

Color Zero-Watermarking Algorithm for Medical Images Based on BEMD-Schur Decomposition and Color Visual Cryptography

Deyang Wu, Miaomiao Wang, Jing Zhao, Jiayan Wang, Meiyu Zhong, Haichun Zheng, Sen Hu, Yong Tang, Changbo Qu, Jinwei Wang
2021 Security and Communication Networks  
One shared image is used to generate a color zero-watermark, and the other is used for copyright authentication phase.  ...  In order to effectively solve the poor robustness problem of traditional zero-watermarking under large-scale attacks, a color zero-watermarking algorithm for medical images based on bidimensional empirical  ...  [20] proposed a robust zerowatermarking algorithm for quaternion polar coordinates and Fourier moments.  ... 
doi:10.1155/2021/7081194 fatcat:urjyfa2hmzdhnijsknyndaypsq

Multiple Zero-Watermarking of Medical Images for Internet of Medical Things

Mahmoud Magdy, Neveen I. Ghali, Said Ghoniemy, Khalid M. Hosny
2022 IEEE Access  
This paper presents fast multiple zero-watermarking methods based on Multi-channel Fractional Legendre Fourier moments (MFrLFMs) for medical image security and copyright protection in IoMT applications  ...  INDEX TERMS Color medical images, zero-Watermarking, IoMT, fractional-order moments, Raspberry-Pi.  ...  MULTICHANNEL LEGENDRE-FOURIER MOMENTS OF FRACTIONAL-ORDER (MFrLFMs) The color medical images are reshaped as a polar form g(r, θ) [29] .  ... 
doi:10.1109/access.2022.3165813 fatcat:ocd6hg3oonettfrtgbrh4nkah4

Geometric Algebra Applications in Geospatial Artificial Intelligence and Remote Sensing Image Processing

Uzair Aslam Bhatti, Zhaoyuan Yu, Linwang Yuan, Saqib Ali Nawaz, Mughair Bhatti, Anum Mehmood, Qurat Ul Ain, Z. Zeehsan, Luo Wen
2020 IEEE Access  
[24] used quaternion Legendre-Fourier moments (QLFMs) to embed a watermark in polar coordinates.  ...  The quaternion polar harmonic transform (QPHT) [27] is useful for lossless watermarking after embedding it with the chaotic encryption to improve the security.  ... 
doi:10.1109/access.2020.3018544 fatcat:dxnehrysjbh3fmsbmolkqnzfbu

Image Fragile Watermarking through Quaternion Linear Transform in Secret Space

Marco Botta, Davide Cavagnino, Victor Pomponiu
2017 Journal of Imaging  
In this paper, we apply the quaternion framework for color images to a fragile watermarking algorithm with the objective of multimedia integrity protection (Quaternion Karhunen-Loève Transform Fragile  ...  are computed from a secret color image used as a symmetric key.  ...  [19] also apply the quaternion algebra and Polar Harmonic Transform (PHT) to introduce an invariant color image watermarking scheme.  ... 
doi:10.3390/jimaging3030034 fatcat:crn33fawenep3o34pt6tyecske
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