4/2010 - 20 |
Searching Appropriate Mother Wavelets for Hyperanalytic DenoisingFIROIU, I. , NAFORNITA, C. , BOUCHER, J. M. , ISAR, A. |
Extra paper information in |
Click to see author's profile in SCOPUS, IEEE Xplore, Web of Science |
Download PDF (1,507 KB) | Citation | Downloads: 1,531 | Views: 4,505 |
Author keywords
wavelet transforms, Hilbert transforms, white noise, filtering, MAP estimation
References keywords
wavelet(14), isar(8), image(5), hyperanalytic(5), denoising(5), processing(4), firoiu(4), boucher(4)
Blue keywords are present in both the references section and the paper title.
About this article
Date of Publication: 2010-11-30
Volume 10, Issue 4, Year 2010, On page(s): 125 - 128
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2010.04020
Web of Science Accession Number: 000284782700020
SCOPUS ID: 78649690158
Abstract
The aim of this paper is the association of a new variant of Hyperanalytic Wavelet Transform (HWT) with a maximum a posteriori (MAP) filter, named bishrink for the denoising of images affected by additive white Gaussian noise (AWGN). The best results are obtained with the biorthogonal mother wavelets Daubechies 9/7. |
References | | | Cited By «-- Click to see who has cited this paper |
[1] D. L. Donoho and I. M. Johnstone, "Ideal spatial adaptation by wavelet shrinkage", Biometrika, 81(3), pp. 425-455, 1994. [CrossRef] [Web of Science Times Cited 5953] [SCOPUS Times Cited 7468] [2] Foi, A., V. Katkovnik and K. Egiazarian, "Pointwise Shape-Adaptive DCT for High-Quality Denoising and Deblocking of Grayscale and Color Images", IEEE Trans. Ima. Proc., (5), 1395-1411, 2007. [CrossRef] [Web of Science Times Cited 507] [SCOPUS Times Cited 625] [3] Firoiu I., Nafornita C., Boucher J. -M., Isar A., "Image Denoising Using a New Implementation of the Hyperanalytic Wavelet Transform," IEEE Transactions on Instrumentation and Measurements, vol. 58, Issue 8, pp. 2410-2416, August 2009. [CrossRef] [Web of Science Times Cited 28] [SCOPUS Times Cited 42] [4] S. Foucher, G. B. Benie and J.-M. Boucher, "Multiscale MAP Filtering of SAR images", IEEE Trans. Ima. Proc., vol. 10, no.1, pp. 49-60, 2001. [CrossRef] [PubMed] [Web of Science Times Cited 160] [SCOPUS Times Cited 209] [5] L. Sendur and I. W. Selesnick, "Bivariate shrinkage functions for wavelet-based denoising exploiting interscale dependency", IEEE Trans. on Signal Processing, 50(11), pp. 2744-2756, 2002. [CrossRef] [Web of Science Times Cited 736] [SCOPUS Times Cited 975] [6] F. Luisier, T. Blu and M. Unser, "A New SURE Approach to Image Denoising: Inter-Scale Orthonormal Wavelet Thresholding", IEEE Trans. Ima. Proc., vol.16, no. 3, pp. 593-606, 2007. [CrossRef] [PubMed] [Web of Science Times Cited 422] [SCOPUS Times Cited 505] [7] A. M. Atto, D. Pastor and G. Mercier, "Smooth Sigmoid Wavelet Shrinkage For Non-Parametric Estimation", IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP, Las Vegas, Nevada, USA, 30 march - 2008. [CrossRef] [Web of Science Times Cited 18] [SCOPUS Times Cited 27] [8] A. Ebrahimzadeh, A. Khazaee, "An Efficient Technique for Classification of Electrocardiogram Signals," Advances in Electrical and Computer Engineering, vol. 9, no. 3, pp. 89-93, 2009. [CrossRef] [Full Text] [Web of Science Times Cited 15] [SCOPUS Times Cited 22] [9] S. C. Olhede and G. Metikas, "The hyperanalytic wavelet transform," Dept. Math., Imperial College, London, U.K. Imperial College Statistics Section Tech. Rep. TR-06-02, May 2006. [10] C. Davenport, "Commutative Hypercomplex Mathematics", Available: Temporary on-line reference link removed - see the PDF document [11] N. Kingsbury, "Complex Wavelets for Shift Invariant Analysis and Filtering of Signals", Applied and Comp. Harm. Anal. 10, pp. 234-253, 2001. [CrossRef] [Web of Science Times Cited 1151] [SCOPUS Times Cited 1529] [12] I. Daubechies, "Ten Lectures on Wavelets", SIAM, Philadelphia, 1992. [13] Ioana Firoiu, Alexandru Isar, Jean-Marc Boucher, "An Improved Version of the Inverse Hyperanalytic Wavelet Transform", Proceedings of IEEE International Symposium SCS'09, Iasi, Romania, July 9-10, pp. 13-16, 2009. [CrossRef] [SCOPUS Times Cited 6] [14] Firoiu I., Isar D., Boucher J.-M., Isar A., "Hyperanalytic Wavelet Packets," Proc. IEEE Conf. WISP 2009, Budapest, Hungary, pp. 67-72, 2009. [CrossRef] [SCOPUS Times Cited 5] [15] S.M. Lajevardi, Z. M. Hussain, "Feature Extraction for Facial Expression Recognition based on Hybrid Face Regions," Advances in Electrical and Computer Engineering, vol. 9, no. 3, pp. 63-67, 2009. [CrossRef] [Full Text] [Web of Science Times Cited 26] [SCOPUS Times Cited 32] [16] Nafornita C, Isar A., "On the Choice of the Mother Wavelet for Perceptual Data Hiding," Proceedings of IEEE International Symposium SCS'09, Iasi, Romania, July 9-10, pp. 233-236, 2009. [CrossRef] [Web of Science Times Cited 3] [SCOPUS Times Cited 4] [17] Wan T., Canagarajah N., Achim A., "Segmentation-Driven Image Fusion Based on Alpha-Stable Modeling of Wavelet Coefficients," IEEE Transactions on Multimedia, vol. 11, no. 4, pp. 624-633, June 2009. [CrossRef] [Web of Science Times Cited 74] [SCOPUS Times Cited 88] [18] G. C. K. Abhayaratne, I. H. Jermyn and J. Zerubia, "Texture-adaptive mother wavelet selection for texture analysis", Proc. IEEE International Conference on Image Processing (ICIP), Genova, Italy, September 2005. [CrossRef] [SCOPUS Times Cited 4] [19] Oltean M., Isar A., "On The Time-Frequency Localization of the Wavelet Signals, with Application to Orthogonal Modulations," Proceedings of IEEE International Symposium SCS'09, Iasi, Romania, pp. 173-176, July 9-10, 2009. [CrossRef] [SCOPUS Times Cited 18] [20] Firoiu I., Isar A., Isar D., "A Maximum A Posteriori Approach of Hyperanalytic Wavelet Based Image Denoising in a Multi-Wavelet Context," Proceedings of the 9th WSEAS International Conference on Signal Processing (SIP '10), Catania, Italy, May 29-31, 2010. Web of Science® Citations for all references: 9,093 TCR SCOPUS® Citations for all references: 11,559 TCR Web of Science® Average Citations per reference: 455 ACR SCOPUS® Average Citations per reference: 578 ACR TCR = Total Citations for References / ACR = Average Citations per Reference We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more Citations for references updated on 2024-11-16 06:10 in 111 seconds. Note1: Web of Science® is a registered trademark of Clarivate Analytics. Note2: SCOPUS® is a registered trademark of Elsevier B.V. Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. Please use the CrossRef link to visit the respective publisher site. |
Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
Permission for other use: The copyright owner's consent does not extend to copying for general distribution, for promotion, for creating new works, or for resale. Specific written permission must be obtained from the Editor for such copying. Direct linking to files hosted on this website is strictly prohibited.
Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.