International conference

WAVELETS AND SPLINES

 

July 3 - 8, 2003

Saint Petersburg, Russia

 

PROGRAM

July 3, Thursday

St. Petersburg Department of V.A.Steklov Institute of Mathematics

10.30

Opening

Plenary Session (Chairman: M. Skopina)

11.00-12.00

Yu. Brudnyi, Nonlinear Approximation-Results and Problems

Coffee break

 

12.30-13.30

S. Konyagin, Convergence of Greedy Approximation

Euler International Mathematical Institute

Session (A): WAVELETS (Chairman: H. Mhaskar)

16.30-16.50

M. Rossini, On the error evaluation of a multidimensional MRA based on polyharmonic splines (joint presentation with  B. Bacchelli and

M. Bozzini)

16.55-17.15

V. Zheludev, Spline subdivision schemes (joint presentation with

A. Averbuch)

17.20-17.40

A. Pevnyi, Riesz wavelet bases in the space

17.50-18.10

V. Babenko, About some  construction of the non-separable wavelets (joint presentation with A. Ligun and A. Shumeiko)

18.15-18.35

I. Novikov, Biorthogonal compactly supported wavelets

Session (B): SPLINES (Chairman: B. Kvasov)

16.30-17.15

V. Miroshnichenko, Quadratic histosplines: algorithms and exact error bounds

17.20-17.40

R. Trigub, Positive definite finite splines and approximation with linear combinations of their shifts

17.45-18.05

V. Zastavnyi, About some properties radial basis Buhmanns functions

Session (D): RELATED TOPICS (Chairman: S. Konyagin)

16.30-17.15

Z. Ditzian, Averages and smoothness on the sphere

17.20-17.40

V. Maiorov, On Best Approximation of Classes by Radial Functions

17.45-18.05

M. Skriganov, Harmonic analysis on totally disconnected groups and irregularities of point distributions

 

18.45

Welcome party

 


July 4, Friday

Euler International Mathematical Institute

Plenary Session (Chairman: Yu. Brudnyi)

10.00-11.00

M. Unser, The spline foundation of wavelet theory

Coffee break

 

11.30-12.30

N. Dyn, Non-linear subdivisdion schemes

12.40-13.25

A. Ligun, On non-separable wavelets and it's application (joint presentation with V. Babenko and A. Shumeiko)

Session (A): FRAMES (Chairman: A. Petukhov)

15.30-16.15

L. Rebollo-Neira, Compressing overcomplete representations

16.20-16.40

M. Bespalov, Tight frame of co-rank one

16.45-17.05

M. Fornasier, Interpolation of Banach spaces by means of Gabor-wavelets frames

Coffee break

 

17.30-17.50

T. Rodionov, On frame coeffcients and expansions of  Functions

17.55-18.15

 

Session (B): SPLINES (Chairman: V. Miroshnichenko)

15.30-16.15

B. Kvasov, On constructing polyharmonic tension splines

16.20-16.40

Yu. Volkov, On convergence of derivatives of odd-degree spline interpolation and de Boor's problem

16.45-17.05

U. Hamarik, On projection methods for ill-posed problems with a posteriori choice of the dimension of spline or wavelet subspaces

Coffee break

 

Session (C): ENGINEERING APPLICATIONS (Chairman: V. Zheludev)

15.30-15.50

V. Katkovnik, Image deblurring using LPA and wavelets

15.55-16.15

Z. Kalab, Description of seismic events using wavelet decomposition

16.20-16.40

O. Bolshakova, Synthesis of Multi-Dimentional Filter Banks

16.45-17.05

R. Kazinnik, Image compression approach aimed at reducing the Hausdorff distance (joint presentation with N. Dyn)

Coffee break

 

17.40-18.00

M. Tchobanou, Synthesis of two-dimensional filetr banks and wavelet functions (joint presentation with O. Bolshakova)

Poster Session

18.15-19.00

M. Laaksonen, Wavelet based seasonal adjustment and business cycles

M. Strintzis, The Use of Wavelets in the JPEG 2000 Image Coding World Standard

R. Sych, The study of two-dimensional images of the solar coronal loops with use of wavelet analysis, The development of analogue a mathematical package Wavelet Toolbox (MATLAB) on algorithmic language IDL

M. Tchobanou, Synthesis of two-dimensional filetr banks and wavelet functions (joint presentation with O. Bolshakova)

Samsonova, To be announced

V. Zverev, An adaptive wavelet scheme for numerical simulations of the domain walls motion in magnetics

 


July 5, Saturday

Euler International Mathematical Institute

Plenary Session (Chairman: S. Kislyakov)

9.30-10.30

P. Wojtaszczyk, Projections and nonlinear approximation in the space

10.40-11.40

V. Temlyakov, Nonlinear methods in the trigonometric approximation

Coffee break

 

12.05-12.50

V. Protassov, Refinement equations and corresponding linear operators

12.55-13.40

H. Mhaskar, Analysis of data at scattered sites on the sphere

Session (A): WAVELETS (Chairman: I. Novikov)

15.30-16.15

V. Malozemov, Ahmed-Rao bases and wavelet expansions (joint presentation with A. Korovkin and S. Masharsky)

16.20-16.40

I. Kozlov, Wavelet-based algorithms for pattern recognition

16.45-17.05

A. Askari Hemmat, Polynomial wavelet-type expansions on the sphere (joint presentation with M. Skopina)

Coffee break

 

17.30-17.50

Yu. Farkov, On the construction of orthogonal wavelets

 

 

Session (D): RELATED TOPICS (Chairman: Z. Ditzian)

15.30-15.50

T. Toradze, Maxima values of sums of Fourier coefficients of characteristic functions

15.55-16.15

V. Ovchinnikov, On description of interpolation orbits

16.20-16.40

O. Reinov, Approximation properties AP(l_p) and  l_p-factorizations of operators

16.45-17.05

A. Brudni, Tangential markov Inequalities on exponential curves

Coffee break

 

17-30-17.50

S. Rzaev, Approximation theory on compact groups

17.55-18.15

O. Kuznetsova, Spherical convergence in L of special multiple trigonometric series

Special Session on Bivariate Splines (Chairman: Z. Ziegler)

15.30-16.00

Yu. Demyanovich, Finite-element approximation on manifolds

16.05-16.35

H. Strauss, Interpolation and Approximation with Splines and related Functions

16.40-17.10

A. Shumeiko, Nearly interpolation spline of two variable and their application (joint presentation with V. Babenko and A. Ligun)

Coffee break

 

17.40-18.10

A. Bejancu, Semi-cardinal interpolation with box-splines on the three-direction mesh

18.15-18.45

J. Kobza, Mean values interpolating quadratic splines

 

19.30

BANQUET

 


July 6, Sunday

Euler International Mathematical Institute

Session (A): WAVELET METHODS (Chairman: V. Temlyakov)

16-55-17.15

M. Perel, Localized Solution of the Wave Equation as a Mother Wavelet (joint presentation with M. Sidorenko)

17.20-17.40

M. Toma, Problems of generating wavelets similar to test functions

17.50-18.10

M. Laaksonen, Wavelet based seasonal adjustment and business cycles

18.15-18.35

V. Zakharov, Building wavelets and framelets adapted to differential operators (joint presentation with O. Ipanov)

Session (C): ENGINEERING APPLICATIONS

 (Chairman: V. Katkovnik)

16.30-16.50

M. Lo Cascio, Wavelets and spline for vertical scratches removal in old images

16.55-17.15

L. Novikov, Wavelet expansions with uncorrelated scaling coeffcients (joint presentation with M. Skopina)

17.20-17.40

A. Krotov, Wavelet-based video codec

17.50-18.10

M. Smirnov, Realization of algorithm of compensation of noises with dissimmetrical spectrum using DSP TMS320C6414

18.15-18.35

I. Khalidov, Adaptive video compression based on wavelet transforms

Special Session on Bivariate Splines (Chairman: H. Strauss)

16.30-17.00

P. Costantini, On a new class of spline functions

17.05-17.35

P. Sablonniere, Scale equation and subdivision algorithm for quadratic B-splines on non-uniform criss-cross triangulations

17.40-18.10

C. Manni, Quasi-interpolantion on Powell-Sabin Portitions (joint presentation with P. Sablonniere)

18.15-18.45

C. Dagnino, Error analysis for quadratic spline quasi-interpolants on non uniform criss-cross triangulations of bounded rectangular domains (joint presentation with P. Sablonniere)

Coffee break

Special lecture "Memoirs of Kolmogorov"

19.15-19.45

V. Videnskii

 


July 7, Monday

Euler International Mathematical Institute

Plenary Session (Chairman: P. Wojtaszczyk)

9-30-10.30

B. Kashin, Frames as a part of orthogonal series theory

10.40-11.25

N. Chernykh, Orthogonal wavelets bases of  and there approximate properties

Coffee break

 

12.00-12.45

V. Zhuk, Precise Jackson-type inequalities for linear methods of spline approximation of differentiable functions (joint presentation with O. Vinogradov)

12.50-13.35

V. Olshevsky, Potpourri on fast algorithms

Session (A): WAVELETS (Chairman: N. Dyn)

15.30-16.15

M. Skopina, Periodic wavelets

16.20-16.40

R. Khabibouline, Polynomial Schauder bases for the space C[-1,1] with a generalized Chebyshev orthogonality

16.45-17.05

D. Tanana, Convergence speed of Fourier series on Y. Meyer's wavelet system in spaces

Coffee break

 

17.40-18.00

L. Pezza, Recent results on refinable bases on the interval and applications (joint presentation with L. Gori and E. Santi)

18.05-18.25

I. Maximenko, Non-separate wavelets for two channel system

18.30-18.50

M. Dehghan, Generalized Symmetric Frames

Session (C): ENGINEERING APPLICATIONS

(Chairman: M. Tchobanou)

15.30-15.50

G. Por, Filtering with wavelet causes aliasing is spectral estimation of signal processing

15.55-16.15

A. Gotchev, Optimization Techniques in Designing Piece-wise Polynomial Interpolators of Minimal Support (joint presentation with

K. Egiazarian)

Coffee break

Session (D): RELATED TOPICS (Chairman: V. Ovchinnikov)

17.40-18.00

S. De Marchi, Numerical experiments on bivariate polynomial interpolation at new nodal sets (a joint work with M.Caliary and M.Vianello)

18.05-18.25

H. Akca, Discrete Counterparts of Continuous-time Additive

Special Session on Bivariate Splines (Chairman: P. Sablonniere)

15.30-16.00

C. Conti, On a new class of bivariate convolved refinable bases (joint presentation with L. Gori)

16.05-16.35

F. Zeilfelder, Data Interpolation by Splines on Triangulations

16.40-17.10

A. Sestini, Local Hybrid Approximation for Scattered Data Fitting based on Splines (joint presentation with O. Davydov)

Coffee break

 

17.40-18.10

O. Davydov, Approximation of scattered data by direct extension of local approximations