Shai Dekel's page
Papers...Anisotropic function spaces with applications pdf with Pencho Petrushev, preprint (survey).
Adaptive compressed image sensing based on wavelet modeling and direct sampling pdf , with Shay Deutsch and Amir Averbuch SAMPTA 09.
On the equivalence of the modulus of smoothness and the K-functional over convex domains pdf , Approximation Theory, to appear.
Anisotropic meshless frames on R^n pdf with Yongsheng Han and Pencho Petrushev, J. of Fourier Analysis and Applications, to appear.
Adaptive compressed image sensing based on wavelet-trees pdf , report 2008.
Curvelets: A low-level system for computer vision pdf with Alexander Sherman, report, February 2008.
Two-level splits of anisotropic Besov spaces pdf with Wolfgang Dahmen and Pencho Petrushev, Constructive Approximation , to appear.
Low bit-rate image coding using adaptive geometric piecewise polynomial approximation pdf with Nira Dyn and Roman Kazinnik, IEEE Trans. Image Processing 16 (2007), 2225-2233. Multilevel preconditioning for partition of unity methods - some analytic concepts pdf with Wolfgang Dahmen and Pencho Petrushev, Numerische Mathematik 107 (2007) 503-532.
Image coding using geometric wavelets pdf with Dror Alani and Amir Averbuch, IEEE Trans. Image Processing 16 (2007), 69-77. Adaptive multivariate approximation using binary space partitions and geometric wavelets pdf with Dany Leviatan, SIAM Journal on Numerical Analysis 43 (2005), 707-732. See also small erratum Whitney estimates for convex domains with applications to multivariate piecewise polynomial approximation pdf with Dany Leviatan, Foundations of Computational Mathematics 4 (2004), 345-368. The Bramble-Hilbert Lemma for convex domains pdf with Dany Leviatan. SIAM Journal on Mathematical Analysis 35 (2004), 1203-1212. On bivariate smoothness spaces associated with nonlinear approximation pdf with Dany Leviatan and Micha Sharir. Constructive Approximation 20 (2004), 625-646. On the relation of piecewise polynomial and rational approximation in L_p(R^2) pdf with Dany Leviatan. Constructive Approximation 20 (2004), 73-91. On measuring the efficiency of kernel operators in L_p(R^d) pdf with Dany Leviatan. Advances in Computational Mathematics 20 (2004), 53-65. Adaptive multivariate piecewise polynomial approximation, pdf with Dany Leviatan. SPIE Proceedings 5207 (2003), 125-133. Poly-scale refinability and subdivision pdf with Nira Dyn. Applied and Computational Harmonic Analysis 13 (2002), 35-62. Wavelet decompositions of non-refinable shift invariant spaces pdf with Dany Leviatan. Applied and Computational Harmonic Analysis, 12 (2002), 230-258. Nonstationary wavelets, with Dany Leviatan, In Wavelet Analysis, Twenty Years' Developments, Proceedings of the International Conference of Computational Harmonic Analysis, Hong Kong 2001, Ed. Ding-Xuan Zhou. Patents...US 6314452 - Image streaming over the network. With Alexander Ovsiankin. US 7024046 - ‘Scaled’ lossless 2D wavelet transforms and applications. With Nitzan Goldberg US 7376279 - Three-dimensional image streaming. With Nitzan Goldberg and Alexander Sherman. US 7454074 - System for lossless image streaming. With Nitzan Goldberg Meetings...IMI, March 2009 Time-frequency , Strobl, Austria, June 2009 Curves & Surfaces, Avignon, June 2010 Work... Email : shai.dekel@ge.com Visiting lecturer at the Tel-Aviv math department Work(out)...
My sister, the jazz singer…Vered
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Main research interests: Multivariate approximation theory, anisotropic function spaces, harmonic analysis, image & video processing.
“Although it may seem a paradox, all exact science is dominated by the idea of approximation” Bertrand Russell (1872-1970)
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