International conference

WAVELETS AND SPLINES

 

July 3 - 8, 2003

Saint Petersburg, Russia

 

Euler International Mathematical Institute

 

PROGRAM

 

July 3, Thursday

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

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: Yu. Demjanovich)

16.30-17.15

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

17.20-18.05

V. Zastavnyi, About some properties radial basis Buhmanns functions

18.10-18.30

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

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

V. Filippov, Perturbation of function systems in L1(0,1)

18.15-18.35

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

 

18.45

Welcome party

July 4, Friday

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

V. Dolnikov, Frames and bases generated by Fourier window transform (joint presentation with N. Strelkov)

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

15.30-16.15

N. Strelkov, On a class of spline-type functions

16.20-16.40

B. Kvasov, On constructing polyharmonic tension splines

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

 

17.30-17.50

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

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

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

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

O. Bolshakova, Synthesis of Multi-Dimentional Filter Banks

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)

T. Toradze, To be announced

Samsonova, To be announced

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

 

July 5, Saturday

Plenary Session (Chairman: S. Kislyakov)

9.30-10.30

P. Wojtaszczyk, Projections and nonlinear approximation in the space

10.40-11.40

V. Temlyakov, To be announced

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

17.55-18.15

V. Slavskii, The equation of self-similarity for final cyclic group

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

15.30-15.50

N. Kruglyak, To be announced

15.55-16.15

V. Ovchinnikov, On description of interpolation orbits

16.20-16.40

O. Reinov, To be announced

16.45-17.05

K. Fedorovski, Approximation by polyanalytic functions

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. Demjanovich, Wavelet expansion in the case of irregular nets

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

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

16.30-16.50

L. Pezza, On some applications of certain new wavelet bases

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)

18.40-19.00

I. Abdallah, The Wavelet Solution for The Linear First Order Integrodifferential Equation Of Convolution type

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, On quasi-interpolants based on bivariate splines (joint presentation with P. Costantini, O. Davydov and 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

Plenary Session (Chairman: P. Wojtaszczyk)

9-30-10.30

B. Kashin, To be announced

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, To be announced

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

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

18.05-18.25

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

18.30-18.50

M. Dehghan, Polynomial wavelet-type expansions on the ball (joint presentation with M. Skopina)

Session (C): ENGINEERING APPLICATIONS

(Chairman: M. Tchobanou)

15.30-15.50

V. Labounets, Color Wavelet-Haar-Prometheus transforms for image processing (joint presentation with A. Maidan)

15.55-16.15

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

16.20-16.40

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

K. Egiazarian)

16.45-17.05

A. Maidan, Colour triplet-valued wavelets and splines (joint presentation with V. Labounets)

Coffee break

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

17.40-18.00

S. De Marchi, Related Topics in Approximation Theory

18.05-18.25

G. Moiseenko, To be announced

18.30-18.50

H. Akca, Discrete Counterparts of Continuous-time Additive

18.55-19.15

Malachivsyi, To be announced

 


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

15.30-16.00

Z. Ziegler, Data Interpolation by Splines on Triangulations

16.05-16.35

A. Grebennikov, Regularizating Filtration of Discrete Data by Splines

Coffee break

 

16.40-17.10

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

17.40-18.10

F. Zeilfelder, Data Interpolation by Splines on Triangulations (joint presentation with O. Davydov)

18.15-18.45

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

18.50-19.20

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