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Stefan cel Mare
University of Suceava
Faculty of Electrical Engineering and
Computer Science
13, Universitatii Street
Suceava - 720229
ROMANIA

Print ISSN: 1582-7445
Online ISSN: 1844-7600
WorldCat: 643243560
doi: 10.4316/AECE


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  4/2010 - 20

Searching Appropriate Mother Wavelets for Hyperanalytic Denoising

FIROIU, I. See more information about FIROIU, I. on SCOPUS See more information about FIROIU, I. on IEEExplore See more information about FIROIU, I. on Web of Science, NAFORNITA, C. See more information about  NAFORNITA, C. on SCOPUS See more information about  NAFORNITA, C. on SCOPUS See more information about NAFORNITA, C. on Web of Science, BOUCHER, J. M. See more information about  BOUCHER, J. M. on SCOPUS See more information about  BOUCHER, J. M. on SCOPUS See more information about BOUCHER, J. M. on Web of Science, ISAR, A. See more information about ISAR, A. on SCOPUS See more information about ISAR, A. on SCOPUS See more information about ISAR, A. on Web of Science
 
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Download PDF pdficon (1,507 KB) | Citation | Downloads: 1,396 | Views: 4,341

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
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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 5889] [SCOPUS Times Cited 7384]


[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 495] [SCOPUS Times Cited 612]


[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 208]


[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 735] [SCOPUS Times Cited 967]


[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 419] [SCOPUS Times Cited 500]


[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 16] [SCOPUS Times Cited 26]


[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 1140] [SCOPUS Times Cited 1515]


[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 25] [SCOPUS Times Cited 31]


[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 73] [SCOPUS Times Cited 86]


[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.

References Weight

Web of Science® Citations for all references: 8,998 TCR
SCOPUS® Citations for all references: 11,430 TCR

Web of Science® Average Citations per reference: 450 ACR
SCOPUS® Average Citations per reference: 572 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 2024-07-10 08:23 in 110 seconds.




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Stefan cel Mare University of Suceava, Romania


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