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
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.
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.
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.
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]
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
Analytic and directional wavelet packets
(with A. Averbuch, P. Neittaanmaki)13th International conference on Sampling Theory and Applications (SampTA),
Expanded Abstracts, 2019.
Directional wavelet packets originating from polynomial splines
(with A. Averbuch, P. Neittaanmaki) submitted, preprint in http://https://arxiv.org/abs/2008.05364
Analytic and directional wavelet packets in the space of periodic signals
(with A. Averbuch, P. Neittaanmaki) submitted, preprint in arXiv:1907.01479, 2019.
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.
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
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.
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.
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.
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.
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 .
Periodic spline-based frames for image restoration
(with A. Averbuch, P. Neittaanmaki) Inverse Problems in Imaging, vol. 9 no. 3, 661-707, 2015
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.
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).
Dimensionality reduction for detection of moving vehicles,
(with A. Averbuch, N. Rabin, A. Schclar) Pattern Analysis and Applications, 15, (2012), 19-27.
Block based deconvolution algorithm using splinewavelet packets, ((with A. Averbuch, P. Neittaanmaki, J. Koren)),
Mathematical Imaging and Vision, (2010), 38: 197-225.
Spectral multiplexing method for digital snapshot spectral imaging,
(with M. A. Golub, M. Nathan, A. Averbuch, E.
Lavi,), Appl. Opt. 48, 1520-1526 (2009).
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.
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.
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.
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.
Deconvolution by Matching Pursuit using spline
wavelet packets dictionaries (with A. Averbuch
and M. Khazanovsky), Applied and Computational
Harmonic Analysis, 31 (2011) 98–124.
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.
Computation of interpolatory splines via triadic
subdivision (with Amir Averbuch ,), Advances in
Comp. Math., Volume 32, Issue 1 (2010), 63-72 .
Automatic
identification of hyperspectral data -- construction
of unique signature (with A. Averbuch , N. Ben-Gigi , O. Braun, Y. Zur and A. Schclar ), submitted.
Spline-based deconvolution (with
A. Averbuch), Signal Processing, 89, pp. 1782-1797,
2009.
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.
Interpolatory frames in signal
space (with Amir Averbuch ),
IEEE Trans. Sign. Proc., 54(6), pp.2126-2139, 2006.
Tight and sibling frames
originated from discrete splines (with Amir Averbuch and Tamir Cohen), Signal
Processing, v. 86, (2006), 1632-1647.
Wavelet transforms
generated by splines (with Amir Averbuch ), International Journal of Wavelets, Multiresolution and Information Processing,5(2),257-292,
2007.
Multiwavelet
frames in signal space originated from Hermite splines (with Amir Averbuch
and Tamir Cohen), IEEE Trans. Sign. Proc., 55(3),( 2007), 797-808.
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.
Wavelet transforms
generated by splines (with Amir Averbuch ), extended preprint.
Interpolatory
subdivision schemes with infinite masks originated from splines
Advances in Comp. Math., vol.25., 475-506.
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.
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.
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
Interpolatory
subdivision schemes generated by splines (with A.
Averbuch and Marina Gruzd ),
Proc. 5th AFA Conference on Curves and Surfaces
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
Splines :
a new contribution to wavelet analysis (with A. Averbuch ) , Proc. Algorithms
for Approximation IV,
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).
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).
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,
Butterworth wavelet
transforms derived from discrete interpolatory splines : Recursive implementation (with A. Averbuch , A. B. Pevnyi ) , Signal Processing, 81 (2001), 2363-2383
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
Fast Kirchhoff
migration in wavelet domain, (with D. Kosloff , E.
Ragoza ) ,
Exploration Geophysics, \textbf {33}, (2002), 23-27.
Kirchhoff migration
using wavelet transform . (with
E. Y. Ragoza , D. D. Kosloff ,
and V. I. Meshbey ), submitted to Geophysics
Construction
of biorthogonal wavelet scheme using interpolatory splines (with A. Averbuch ), Applied and Comp.
Harmonic Analysis, {\bf 12}, (2002), 25-56.
Lifting scheme for biorthogonal multiwavelets
originated from Hermite splines
(with A. Averbuch ), IEEE Trans. Sign. Proc. {\bf 50}, No.3 March 2002, 487-500.
Interpolatory
biorthogonal multiwavelet
transforms (with A. Averbuch ), Proc. of the Conf.
Trends in Approximation Theory 2000.
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.
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)
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)
On the interpolation by
discrete splines with equidistant nodes, (with A.Pevnyi ), J. Appr . Th., 102, (2000), 286-301
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
Integral representation of
slowly growing equidistant splines , Approximation
Theory and Applications, {\bf 14}, no. 4, (1998), 66-88
Wavelet
analysis in spaces of slowly growing splines via
integral representation, Real Analysis Exchange,
{\bf 24}, (1998/99), 229-261.
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.
Local
splines of defect 1 on a uniform mesh, Siberia Journ. of Compurer Math.,
{\bf 1/2}, (1992), 123-156.
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.
An operational calculus
connected with periodic splines, Soviet. Math. Dokl.,
{\bf 42/1}, (1991), 162-167.
Spline Harmonic Analysis
and Wavelet Bases, Proc.
Symp. Appl. Math., (ed. W. Gautcshi), AMS, {\bf 49}, (1994), 415-419.
Asymptotic formulas
for local spline approximation on a uniform mesh, Soviet
Math. Dokl.,, {\bf 27}, (1983), 415-419.
Periodic splines
and the fast Fourier transform, Comput. Math. and Math Phys., {\bf 32}, (1991), 149-165.
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.
Periodic splines
and wavelets, Contemporary Mathematics, AMS,{\bf 190}, (1995), 339-354.
Wavelets based
on periodic splines, Russian Acad.Sci. Doklady, Mathematics,{\bf 49}, (1994), 216-222.
Last
Modified: November, 30, 2020