Valery A. Zheludev
Professor
Tel Aviv University
Tel Aviv 69978,
Israel
Email: zhel@tauex.tau.ac.il
Work Tel: +972 3 640 7952
Work Fax: +972 3 640 9373
Mobile Tel: +972 545329622
Research Interests
Wavelets, frames, subdivision schemes, signal/image/audio
processing, approximation theory, seismic processing, pattern recognition.
Some publications
Vol. I: book information
Vol. II: book information
Vol. III: book information
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Analytic and directional wavelet packets in the space of periodic signals
(with A. Averbuch, P. Neittaanmaki) Applied and Computational Harmonic Analysis, 2023, 67(11) https://doi.org/10.1016/j.acha.2023.06.006.
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Directional wavelet packets originating from polynomial splines
(with A. Averbuch, P. Neittaanmaki) Advances in Computational Mathematics, 2023, 49:19 https://doi.org/10.1007/s10444-023-10024-4.
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An hybrid denoising algorithm based on directional wavelet packets
(with A. Averbuch, P. Neittaanmaki, M. Salhov, J. Hauser) Multidimensional Systems and Signal Processing, 2022, https://doi.org/10.1007/s11045-022-00836-w.
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Cross-boosting of WNNM Image Denoising method by Directional Wavelet Packets
(with A. Averbuch, P. Neittaanmaki, M. Salhov, J. Hauser) preprint in http://arxiv.org/abs/2206.04431 [eess.IV]
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Image inpainting using directional wavelet packets
(with A. Averbuch, P. Neittaanmaki, M. Salhov, J. Hauser), Signal Processing: Image Communication, 2021, preprint in http://https://arxiv.org/abs/2001.04899
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Analytic and directional wavelet packets
(with A. Averbuch, P. Neittaanmaki)13th International conference on Sampling Theory and Applications (SampTA),
Expanded Abstracts, 2019.
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Directional wavelet packets originating from polynomial splines
(with A. Averbuch, P. Neittaanmaki) submitted, preprint in http://https://arxiv.org/abs/2008.05364
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Analytic and directional wavelet packets in the space of periodic signals
(with A. Averbuch, P. Neittaanmaki) submitted, preprint in arXiv:1907.01479, 2019.
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Design of binary phase diffusers for a Compressed Sensing snapshot spectral imaging system with two cameras
(with A. Averbuch, J. Hauser, M. Golub, M. Nathan, S. Gurevitch, O. Inbar) J. of Modern Optics, 2019, https://doi.org/10.1080/09500340.2019.1567839.
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DD-Net: spectral imaging from a monochromatic dispersed and diffused snapshot (with A. Averbuch, J. Hauser, A. Zeligman, M. Nathan) Applied Optics, 59(36), 11196-11208, 2020
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Dual-camera snapshot spectral imaging with pupil-domain optical diffuser and compressed sensing algorithms
(with A. Averbuch, J. Hauser, M. Golub, M. Nathan, M. Kagan) Applied Optics, 59(4), 1058-1070, 2020.
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High-photon throughput snapshot color imaging using a monochromatic digital camera and and a pupil domain diffuser
(with A. Averbuch, J. Hauser, M. Golub, M. Nathan, S. Gurevitch, O. Inbar) J. of Modern Optics, 2019, https://doi.org/10.1080/09500340.2019.1567839.
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Local cubic splines on non-uniform grids and real-time
computation of wavelet transform
(with A. Averbuch, P. Neittaanmaki, E. Shefi) Advances in Comput. Math., 43(4), 733-758, 2017.
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Compressed sensing snapshot spectral imaging by a regular digital camera with an added optical diffuser
(with M. Golub, M. Nathan, A. Averbuch,, J. Hauser, S. Gurevitch, R. Malinsky, A. Kagan) Applied Optics, 55(3), 432-443, 2016.
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Fast computation by subdivision of multidimensional splines and
their applications
(with A. Averbuch, G. Shabat and P. Neittaanmaki ) Pure and Applied Functional Analysis, 1(3), 2016 .
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Periodic spline-based frames for image restoration
(with A. Averbuch, P. Neittaanmaki) Inverse Problems in Imaging, vol. 9 no. 3, 661-707, 2015
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Delineation of Malignant Skin Tumors by Hyperspectral Imaging Using Diffusion Maps Dimensionality Reduction
(with I. Polonen, N. Neittaanmaki-Perttu,, A. Averbuch, P. Neittaanmaki, M. Gronroos, H. Saari ) Biomedical Signal Processing and Control, 16 (2015) 48-60.
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LCT-wavelet based algorithms for data
compression,
(with A. Averbuch, M. Guttmann, D. D. Kosloff) International Journal of Wavelets, Multiresolution and Information Processing, 11, No. 5, (2013).
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Dimensionality reduction for detection of moving vehicles,
(with A. Averbuch, N. Rabin, A. Schclar) Pattern Analysis and Applications, 15, (2012), 19-27.
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Block based deconvolution algorithm using splinewavelet packets, ((with A. Averbuch, P. Neittaanmaki, J. Koren)),
Mathematical Imaging and Vision, (2010), 38: 197-225.
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Spectral multiplexing method for digital snapshot spectral imaging,
(with M. A. Golub, M. Nathan, A. Averbuch, E.
Lavi,), Appl. Opt. 48, 1520-1526 (2009).
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Acoustic
detection and classification of river boats (with A. Averbuch, P. Neittaanm(aki, P. Wartiainen, K. Huoman and K. Janson), Applied Acoustics, 72/1, (2011), 22-34.
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Unmixing and Target Recognition in Airborne Hyper-Spectral Images
(with Amir Z. Averbuch, and Michael V. Zheludev),
Earth Science Research, 1, No. 2 (2012), 200-228.
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A ternary interpolatory subdivision scheme originated from splines (with Amir Z. Averbuch, Garry B. Fatakhov and
Eduard H. Yakubov), International Journal of Wavelets, Multiresolution
and Information Processing, 9, No. 4 (2011), 611–-633.
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A
diffusion framework for detection of moving vehicles
(with Amir Averbuch K. Hochman, N. Rabin and A. Schclar),
Digital Signal Processing, 20, No.1, pp. 111-122, 2010.
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Deconvolution
by Matching Pursuit using spline
wavelet packets dictionaries (with A. Averbuch
and M. Khazanovsky), Applied and Computational
Harmonic Analysis, 31 (2011) 98–124.
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Wavelet-based
acoustic detection of moving vehicles (with Amir Averbuch, Neta Rabin and Alon Schclar), Multidimensional
Systems and Signal Processing, 20, pp.55-80, 2009.
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Computation of interpolatory splines via triadic
subdivision (with Amir Averbuch,), Advances in
Comp. Math., Volume 32, Issue 1 (2010), 63-72 .
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Automatic
identification of hyperspectral data -- construction
of unique signature (with A. Averbuch, N. Ben-Gigi, O. Braun, Y. Zur and A. Schclar), submitted.
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Spline
-based deconvolution (with
A. Averbuch ), Signal Processing, 89, pp. 1782-1797,
2009.
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Wavelet and frame
transforms originated from continuous and discrete splines
(with Amir Averbuch), in the book "Advances in
Signal Transforms. Theory and applications", J. Astola
and L. Yaroslavsky eds. , pp. 1-56, Hindawi
Publishing Corp., NY, 2007.
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Interpolatory frames in signal
space (with Amir Averbuch),
IEEE Trans. Sign. Proc., 54(6), pp.2126-2139, 2006.
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Tight and sibling frames
originated from discrete splines (with Amir Averbuch and Tamir Cohen), Signal
Processing, v. 86, (2006), 1632-1647.
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Wavelet transforms
generated by splines (with Amir Averbuch), International Journal of Wavelets, Multiresolution and Information Processing,5(2),257-292,
2007.
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Multiwavelet
frames in signal space originated from Hermite splines (with Amir Averbuch
and Tamir Cohen), IEEE Trans. Sign. Proc., 55(3),(2007), 797-808.
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Symmetric interpolatory framelets and their error erasure recovery properties
((with Amir Averbuch
and Tamir Cohen and O. Amrani) International Journal of Wavelets, Multiresolution and Information Processing, 5(4), 541-566, 2007.
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Wavelet transforms
generated by splines (with Amir Averbuch), extended preprint.
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Interpolatory
subdivision schemes with infinite masks originated from splines
Advances in Comp. Math., vol.25., 475-506.
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Identification
of acoustic signatures for vehicles via reduction of dimensionality (with A. Averbuch, E. Hulata,
I. Kozlov) Int. Journ.
of Wavelets, Multiresolution
and Inf. Proc., vol.2, no.1, (2004), 1-22.
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Compression
of segmented 3d seismic data (with D. Kosloff, and E. Ragoza), Int. Journ. on Wavelets, Multiresolution and Inf. Proc., vol.2, no.3, (2004),
269-281.
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Usage of wavelet
analysis for the detection of seismogenic ULF
emission, (with L. Alperovich , V. Zheludev, M. Hayakawa),
RADIO SCIENCE, VOL. 38, NO. 6, 1093, 20I:10.1029/2002RS002687, 2003
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Interpolatory
subdivision schemes generated by splines (with A.
Averbuch and Marina Gruzd),
Proc. 5th AFA Conference on Curves and Surfaces
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A new family of spline based biorthogonal wavelet
transforms and their application to image compression (with A. Averbuch ), IEEE Trans. Image Proc., vol
13, No. 7, pp. 993-1007, July 2004
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Splines:
a new contribution to wavelet analysis (with A. Averbuch ), Proc. Algorithms
for Approximation IV,
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Wavelet packet based
algorithm for identification of quasi-periodic signals (with A. Averbuch, I. Kozlov ), Proc. SPIE {\bf 4478,}, Wavelet Applications in Signal
and Image Processing IX, (A. Aldroubi, A. F. Laine; M. A. Unser; Eds.) 353-360 (2001).
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A library of biorthogonal wavelet transforms originated from polynomial splines (with A. Averbuch ), Proc. SPIE {\bf 4478,}, Wavelet Applications in Signal
and Image Processing IX, (A. Aldroubi, A. F. Laine; M. A. Unser; Eds.) 323-334 (2001).
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Image compression using
spline based wavelet transforms (with A. Averbuch )
in "Wavelets in Signal and Image Processing: From Theory to
Practice", F. Meyer and A. Petrosian - Editors, Kluwer Academic Press, 2001,
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Butterworth wavelet
transforms derived from discrete interpolatory splines: Recursive implementation (with A. Averbuch, A. B. Pevnyi ), Signal Processing, 81 (2001), 2363-2383
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Biorthogonal
Butterworth wavelets derived from discrete interpolatory
splines. (with A. Averbuch, A. B. Pevnyi ), IEEE
Trans. Sign. Proc., {\bf 49}, No.11, November 2001, 2682-2692
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Fast Kirchhoff
migration in wavelet domain, (with D. Kosloff, E.
Ragoza ),
Exploration Geophysics, \textbf{33}, (2002), 23-27.
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Kirchhoff migration
using wavelet transform. (with
E. Y. Ragoza, D. D. Kosloff,
and V. I. Meshbey ), submitted to Geophysics
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Construction
of biorthogonal wavelet scheme using interpolatory splines (with A. Averbuch), Applied and Comp.
Harmonic Analysis, {\bf 12}, (2002), 25-56.
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Lifting scheme for biorthogonal multiwavelets
originated from Hermite splines
(with A. Averbuch), IEEE Trans. Sign. Proc. {\bf 50}, No.3 March 2002, 487-500.
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Interpolatory
biorthogonal multiwavelet
transforms (with A. Averbuch), Proc. of the Conf.
Trends in Approximation Theory 2000.
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A wavelet packet algorithm for
classification and detection of moving vehicles (with A. Averbuch, E. Hulata, I. Kozlov) Multidimensional Systems and Signal Processing, {\bf12(1)}, 2001, 9-31.
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Wavelet based algorithm for acoustic detection
of moving ground and airborne targets,(with A. Averbuch,
I. Kozlov} Proc. SPIE {\bf 4119,}, Wavelet
Applications in Signal and Image Processing VII, (A. Aldroubi,
A. F. Laine; M. A. Unser; Eds.) (2000)
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A lifting
scheme of biorthogonal wavelet transform based on
discrete interpolatory splines,(with
A. Averbuch, A. Pevnyi}
Proc. SPIE {\bf 4119,}, Wavelet Applications in Signal and Image Processing
VII, (A. Aldroubi, A. F. Laine;
M. A. Unser; Eds.) (2000)
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On the interpolation by
discrete splines with equidistant nodes,(with A.Pevnyi), J. Appr. Th., 102, (2000), 286-301
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Construction of
wavelet analysis in the space of discrete splines
using Zak transform, (with A.Pevnyi) Journ. Fourier Anal. Appl. v.8,
No.1, 2002, 55-77
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Integral representation of
slowly growing equidistant splines, Approximation
Theory and Applications, {\bf 14}, no. 4, (1998), 66-88
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Wavelet
analysis in spaces of slowly growing splines via
integral representation, Real Analysis Exchange,
{\bf 24}, (1998/99), 229-261.
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Periodic
splines, harmonic analysis and wavelets. in ``Signal and Image representation in Combined Spaces,
477--509, Wavelet Anal. Appl., 7,'' (eds. Y. Y. Zeevi and R. Coifman), Academic
Press, San Diego, CA, 1998.
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Local
splines of defect 1 on a uniform mesh, Siberia Journ. of Compurer Math.,
{\bf 1/2}, (1992), 123-156.
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On the approximation
on finite intervals and local splines extrapolation, (with M. Suturin), Russian J. Numer. Anal. Math. Modelling,
{\bf 9/1}, (1994), 75-89.
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An operational calculus
connected with periodic splines, Soviet. Math. Dokl.,
{\bf 42/1}, (1991), 162-167.
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Spline Harmonic Analysis
and Wavelet Bases, Proc.
Symp. Appl. Math., (ed. W. Gautcshi), AMS, {\bf 49}, (1994), 415-419.
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Asymptotic formulas
for local spline approximation on a uniform mesh, Soviet
Math. Dokl.,, {\bf 27}, (1983), 415-419.
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Periodic splines
and the fast Fourier transform, Comput. Math. and Math Phys., {\bf 32}, (1991), 149-165.
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Spline-operational calculus
and inverse problem for heat equation, Proc. Int.
Conf. Approximation Theory, Kecskemet, Hungary, 1990, (J. Szabados, K. Tandoi eds.,), Colloq.
Math. Soc. J.Bolyai,{\bf 58}, (1991), 763-783.
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Periodic splines
and wavelets, Contemporary Mathematics, AMS,{\bf 190}, (1995), 339-354.
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Wavelets based
on periodic splines, Russian Acad.Sci. Doklady, Mathematics,{\bf 49}, (1994), 216-222.
Last
Modified: November, 30, 2020