Octonion continuous orthogonal moments and their applications in color stereoscopic image reconstruction and zero-watermarking

2021 ◽  
Vol 106 ◽  
pp. 104450
Author(s):  
Chunpeng Wang ◽  
Qixian Hao ◽  
Bin Ma ◽  
Xiaoming Wu ◽  
Jian Li ◽  
...  
Keyword(s):  
Image Reconstruction ◽  
Stereoscopic Image ◽  
Orthogonal Moments ◽  
Zero Watermarking

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

Sensors ◽  
2021 ◽  
Vol 21 (4) ◽  
pp. 1544
Author(s):  
Chunpeng Wang ◽  
Hongling Gao ◽  
Meihong Yang ◽  
Jian Li ◽  
Bin Ma ◽  
...  
Keyword(s):  
Image Reconstruction ◽  
Fractional Order ◽  
Continuous Functions ◽  
Kernel Functions ◽  
Superior Performance ◽  
Image Description ◽  
Orthogonal Moments ◽  
Integer Order ◽  
Geometric Invariance ◽  
Order Continuous

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 moments (PHFMs) have superior performance and strong image description ability. In order to improve the performance of PHFMs in noise resistance and image reconstruction, PHFMs, which can only take integer numbers, are extended to fractional-order polar harmonic Fourier moments (FrPHFMs) in this paper. Firstly, the radial polynomials of integer-order PHFMs are modified to obtain fractional-order radial polynomials, and FrPHFMs are constructed based on the fractional-order radial polynomials; subsequently, the strong reconstruction ability, orthogonality, and geometric invariance of the proposed FrPHFMs are proven; and, finally, the performance of the proposed FrPHFMs is compared with that of integer-order PHFMs, fractional-order radial harmonic Fourier moments (FrRHFMs), fractional-order polar harmonic transforms (FrPHTs), and fractional-order Zernike moments (FrZMs). The experimental results show that the FrPHFMs constructed in this paper are superior to integer-order PHFMs and other fractional-order continuous orthogonal moments in terms of performance in image reconstruction and object recognition, as well as that the proposed FrPHFMs have strong image description ability and good stability.

scholarly journals Bivariate Hahn moments for image reconstruction

2014 ◽  
Vol 24 (2) ◽  
pp. 417-428 ◽  
Author(s):  
Haiyong Wu ◽  
Senlin Yan
Keyword(s):  
Image Reconstruction ◽  
Numerical Stability ◽  
Parameter Selection ◽  
Experimental Results ◽  
Grayscale Image ◽  
Orthogonal Moments ◽  
Binary Images ◽  
Hahn Polynomials ◽  
Discrete Orthogonal ◽  
Computational Aspects

Abstract This paper presents a new set of bivariate discrete orthogonal moments which are based on bivariate Hahn polynomials with non-separable basis. The polynomials are scaled to ensure numerical stability. Their computational aspects are discussed in detail. The principle of parameter selection is established by analyzing several plots of polynomials with different kinds of parameters. Appropriate parameters of binary images and a grayscale image are obtained through experimental results. The performance of the proposed moments in describing images is investigated through several image reconstruction experiments, including noisy and noise-free conditions. Comparisons with existing discrete orthogonal moments are also presented. The experimental results show that the proposed moments outperform slightly separable Hahn moments for higher orders.

scholarly journals Image reconstruction from limited range projections using orthogonal moments

2007 ◽  
Vol 40 (2) ◽  
pp. 670-680 ◽  
Author(s):  
H.Z. Shu ◽  
J. Zhou ◽  
G.N. Han ◽  
L.M. Luo ◽  
J.L. Coatrieux
Keyword(s):  
Image Reconstruction ◽  
Limited Range ◽  
Orthogonal Moments

A numerical recipe for accurate image reconstruction from discrete orthogonal moments

2007 ◽  
Vol 40 (2) ◽  
pp. 659-669 ◽  
Author(s):  
Bulent Bayraktar ◽  
Tytus Bernas ◽  
J. Paul Robinson ◽  
Bartek Rajwa
Keyword(s):  
Image Reconstruction ◽  
Orthogonal Moments ◽  
Discrete Orthogonal

scholarly journals A zero-watermarking algorithm of stereoscopic image based on hyperchaotic system

2012 ◽  
Vol 61 (8) ◽  
pp. 080701
Author(s):  
Zhou Wu-Jie ◽  
Yu Mei ◽  
Yu Si-Min ◽  
Jiang Gang-Yi ◽  
Ge Ding-Fei
Keyword(s):  
Hyperchaotic System ◽  
Stereoscopic Image ◽  
Zero Watermarking

scholarly journals Reconstruction Error Analysis of Skin Lesion Images using Orthogonal Moments

2019 ◽  
Vol 8 (4) ◽  
pp. 10910-10915
Keyword(s):  
Image Reconstruction ◽  
Skin Lesion ◽  
Error Analysis ◽  
Scale Invariance ◽  
Reconstruction Error ◽  
Zernike Moments ◽  
Shape Descriptors ◽  
Orthogonal Moments ◽  
Precise Calculation ◽  
The Impact

Orthogonal moments (OMs) are amongst the superlative region centered shape descriptors. These OMs retain lowest facts redundancy. Zernike Moments (ZM) and pseudo Zernike Moments (PZM) are tested with respect to rotation invariance, and scale invariance for skin lesion images. Image reconstruction is executed for various orders of two different orthogonal moments; ZM and PZM. Reconstruction errors are also computed. This paper examines the impact of these errors on the features of OMs and executes a relative study of these errors on the precise calculation of the two major OMs: ZMs and PZMs.

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