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article

Image analysis by Bessel-Fourier moments

Authors:

Xuan WangAuthors Info & Claims

Pattern Recognition, Volume 43, Issue 8

Pages 2620 - 2629

https://doi.org/10.1016/j.patcog.2010.03.013

Published: 01 August 2010 Publication History

Abstract

In this paper, we proposed a new set of moments based on the Bessel function of the first kind, named Bessel-Fourier moments (BFMs), which are more suitable than orthogonal Fourier-Mellin and Zernike moments for image analysis and rotation invariant pattern recognition. Compared with orthogonal Fourier-Mellin and Zernike polynomials of the same degree, the new orthogonal radial polynomials have more zeros, and these zeros are more evenly distributed. The Bessel-Fourier moments can be thought of as generalized orthogonalized complex moments. Theoretical and experimental results show that the Bessel-Fourier moments perform better than the orthogonal Fourier-Mellin and Zernike moments (OFMMs and ZMs) in terms of image reconstruction capability and invariant recognition accuracy in noise-free, noisy and smooth distortion conditions.

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Cited By

Qi SZhang YWang CXiang TCao XXiang Y(2024)Representing Noisy Image Without DenoisingIEEE Transactions on Pattern Analysis and Machine Intelligence10.1109/TPAMI.2024.338698546:10(6713-6730)Online publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1109/TPAMI.2024.3386985
He MWang HZhang FXiang Y(2024)Exploring Accurate Invariants on Polar Harmonic Fourier Moments in Polar Coordinates for Robust Image WatermarkingIEEE Transactions on Multimedia10.1109/TMM.2023.333365926(5435-5449)Online publication date: 1-Jan-2024
https://dl.acm.org/doi/10.1109/TMM.2023.3333659
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https://dl.acm.org/doi/10.1016/j.sigpro.2024.109462
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Image analysis by Bessel-Fourier moments
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Published In

cover image Pattern Recognition

Pattern Recognition Volume 43, Issue 8

August, 2010

395 pages

ISSN:0031-3203

Issue’s Table of Contents

Copyright © Elsevier Ltd © 2010.

Publisher

Elsevier Science Inc.

United States

Publication History

Published: 01 August 2010

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Cited By

Qi SZhang YWang CXiang TCao XXiang Y(2024)Representing Noisy Image Without DenoisingIEEE Transactions on Pattern Analysis and Machine Intelligence10.1109/TPAMI.2024.338698546:10(6713-6730)Online publication date: 1-Oct-2024
https://dl.acm.org/doi/10.1109/TPAMI.2024.3386985
He MWang HZhang FXiang Y(2024)Exploring Accurate Invariants on Polar Harmonic Fourier Moments in Polar Coordinates for Robust Image WatermarkingIEEE Transactions on Multimedia10.1109/TMM.2023.333365926(5435-5449)Online publication date: 1-Jan-2024
https://dl.acm.org/doi/10.1109/TMM.2023.3333659
Shaqfa Mdos Santos KBeyer K(2024)On the conjugate symmetry and sparsity of the harmonic decomposition of parametric surfaces with the randomised Kaczmarz methodSignal Processing10.1016/j.sigpro.2024.109462220:COnline publication date: 1-Jul-2024
https://dl.acm.org/doi/10.1016/j.sigpro.2024.109462
He MWang HZhang FAbdullahi SYang L(2023)Robust Blind Video Watermarking Against Geometric Deformations and Online Video Sharing Platform ProcessingIEEE Transactions on Dependable and Secure Computing10.1109/TDSC.2022.323248420:6(4702-4718)Online publication date: 1-Nov-2023
https://dl.acm.org/doi/10.1109/TDSC.2022.3232484
Fu DZhou XXu LHou KChen X(2023)Robust Reversible Watermarking by Fractional Order Zernike Moments and Pseudo-Zernike MomentsIEEE Transactions on Circuits and Systems for Video Technology10.1109/TCSVT.2023.327911633:12(7310-7326)Online publication date: 1-Dec-2023
https://dl.acm.org/doi/10.1109/TCSVT.2023.3279116
Wang CChen LXia ZLi JLi QWei ZWang CHan B(2023)Novel Quaternion Orthogonal Fourier-Mellin Moments Using Optimized Factorial CalculationDigital Forensics and Watermarking10.1007/978-981-97-2585-4_19(262-276)Online publication date: 25-Nov-2023
https://dl.acm.org/doi/10.1007/978-981-97-2585-4_19
Hjouji AEL-Mekkaoui J(2022)Helmet-fourier orthogonal moments for image representation and recognitionThe Journal of Supercomputing10.1007/s11227-022-04414-678:11(13583-13623)Online publication date: 1-Jul-2022
https://dl.acm.org/doi/10.1007/s11227-022-04414-6
Ma ZLi TZhou JYang K(2022)3D Bessel moments for 3D model retrievalMultimedia Tools and Applications10.1007/s11042-022-13655-982:24(38011-38033)Online publication date: 21-Sep-2022
https://dl.acm.org/doi/10.1007/s11042-022-13655-9
Niu PWang LWang FYang HWang X(2022)Fast Quaternion Log-Polar Radial Harmonic Fourier Moments for Color Image Zero-WatermarkingJournal of Mathematical Imaging and Vision10.1007/s10851-022-01084-064:5(537-568)Online publication date: 1-Jun-2022
https://dl.acm.org/doi/10.1007/s10851-022-01084-0
Qi SZhang YWang CZhou JCao X(2021)A Survey of Orthogonal Moments for Image Representation: Theory, Implementation, and EvaluationACM Computing Surveys10.1145/347942855:1(1-35)Online publication date: 23-Nov-2021
https://dl.acm.org/doi/10.1145/3479428
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