Programme (Tentative)

Workshop on Wavelets and Their Applications

May 5 - 8, 1997

The Chinese University of Hong Kong

Sponsors

Institute of Mathematical Sciences, CUHK
Institute of Mathematics, Academia Sinica
Department of Mathematics, CUHK
Hong Kong Mathematical Society
Lee Hysan Foundation Limited
Hong Kong Pei Hua Education Foundation
K. C. Wong Education Foundation
U.S. ARMY Research Office - Far East

May 5, 1997 (Monday) Venue : LT3

MORNING SESSION

Chairman: K. S. Lau

9 : 00 - 9 : 10 K. Young (Pro-Vice-Chancellor, CUHK) OPENING
9 : 10 - 10 : 00 C. Chui (Texas A & M) From splines to wavelets.
10 : 00 - 10 : 50 S. Mallat (Ecole Poly.) A wavelet tour of signal processing.
Tea Break

Chairman: D. G. Deng

11 : 00 - 11 : 50 H.L. Chen
(Academia Sinica)
Periodic wavelets and some open problems.
11 : 50 - 12 : 15 L.Z. Peng (Beijing) Toeplitz type operators on wavelet subspaces.
12 : 15 LUNCH

AFTERNOON SESSION

Chairman: W. Lin

2 : 00 - 2 : 50 C. Chui
(Texas A & M)
Wavelet applications to telemedicine.
2 : 50 - 3 : 40 S. Mallat
(Ecole Poly.)
Detection and characterization of singularities with wavelets.
Tea Break
3 : 50 - 4 : 40 J.Z. Wang
(Sam Houston)
On linear independence, stability, and support of a scaling vector.

Session 1 Venue : LT3
Chairman: Z.W. Shen

4 : 45 - 5 : 10 Q.Y. Sun (Zhejiang) Arcwise connectivity of M-band wavelets with N vanishing moments.
5 : 10 - 5 : 35 D.R. Chen
(Beijing U. of Aero. & Ast.)
Algebraic properties of subdivision with matrix mask and their applications.

Session 2 Venue : LT4
Chairman: Y. M. Liu

4 : 45 - 5 : 10 G. Chen
(Zhejiang)
Fast fractal image encoding based on wavelet transformation.
5 : 10 - 5 : 35 Y.W. Zhan
(Shantou)
Image compression with wavelets and fractals.

May 6, 1997 (Tuesday) Venue : LT3

MORNING SESSION

Chairman: H. L. Chen

9 : 00 - 9 : 50 C. Chui
(Texas A & M)
Cosine wavelets.
9 : 50 - 10 : 40 S. Mallat
(Ecole Poly.)
Understanding wavelet image transform codes.
Tea Break

Chairman: R. Q. Jia

11 : 00 - 11 : 50 D.G. Deng
(Zhongshan)
The BCR algorithm and singular integral operators.
11 : 50 - 12 : 15 X.L. Shi
(Zhejiang and Texas A&M)
A characterization of Gaussian bases.
12 : 15 LUNCH

AFTERNOON SESSION

Chairman: C. Cabrelli

2 : 00 - 2 : 50 D. Hardin (Vanderbilt) Orthogonal multiwavelet constructions.
2 : 50 - 3 : 40 W. Lawton (Singapore) Rational wavelet design for molecular vibration analysis.
Tea Break

Session 1 Venue : LT3
Chairman: L. T. Guan

3 : 50 - 4 : 15 D.J. Hebert (Pittsburgh) Binary triangulations and interlaced quadtrees for wavelet image analysis.
4 : 15 - 4 : 40 X.Z. Liang (Jilin) How to get the original discrete approximation for the pyramid algorithm of multiresolution decomposition.
4 : 45 - 5 : 10 W.L. Yeung (CUHK) Subband domain wiener filtering.
5 : 10 - 5 : 35 Q. Wang (Wuhan) Quantum evolution and its application to shiftability problem of wavelet bases.

Session 2 Venue : LT4
Chairman: Q. Y. Sun

3 : 50 - 4 : 15 S.S. Goh (Singapore) Construction of periodic multiwavelets.
4 : 15 - 4 : 40 W.S. Tang (Singapore) Wavelets associated with commuting unitary operators in Hilbert spaces.
4 : 45 - 5 : 10 D.X. Zhou (City U, HK) Smoothness of multiple refinable functions and multiple wavelets.
5 : 10 - 5 : 35 Q. Mo
(Academia Sinica)
L2-convergence of vector cascade algorithm.

May 7, 1997 (Wednesday) Venue : LT3

MORNING SESSION

Chairman: L. Z. Peng

9 : 00 - 9 : 50 J. Benedetto
(Maryland)
Wavelets, sampling and noise reduction.
9 : 50 - 10 : 40 V. Wickerhauser
(Washington)
Comparsion of wavelet image coding schemes for seismic data compression.
Tea Break

Chairman: D. J. Hebert

11 : 00 - 11 : 50 C. Cabrelli
(Buenos Aires)
Accuracy of lattice translates of multidimensional refinable functions.
11 : 50 - 12 : 15 U. Molter
(Buenos Aires)
Self-similarity and multiwavelets.
12 : 15 LUNCH

AFTERNOON SESSION

Chairman: J. Z. Wang

2 : 00 - 2 : 50 R.Q. Jia (Alberta) LP-solutions of multivariate refinement equations.
2 : 50 - 3 : 40 W. Lin (Zhongshan) Wavelet methods for numerical solutions of integral equations.
Tea Break

Session 1 Venue : LT3
Chairman: W. L. Yeung

3 : 50 - 4 : 15 L.T. Guan
(Zhongshan)
Discrete wavelet decomposition with free knots in a finite interval.
4 : 15 - 4 : 40 P.D. Liu (Wuhan) Wavelets and their applications to vector-valued function spaces.
4 : 45 - 5 : 10 L.X. Yan
(Zhongshan)
Wavelets and oscillatory singular integrals.
5 : 10 - 5 : 35 S.L. Xiao
(Academia Sinica)
Refinable compactly supported spline vectors.

Session 2 Venue : LT4
Chairman: D. X. Zhou

3 : 50 - 4 : 15 L.H. Yang
(Academia Sinica)
Unconditional basic sequence in LP(U) and its l P-stability.
4 : 15 - 4 : 40 Y.M. Liu
(Beijing Poly.)
Irregular sampling for spline wavelets.
4 : 45 - 5 : 10 S.M. Ngai (CUHK) Dilation equations with scaling factor equal to the golden ratio.
5 : 10 - 5 : 35 T. Flaherty
(Pittsburgh & CUHK)
Haar-type multi-tiles.

May 8, 1997 (Thursday) Venue : LT3

MORNING SESSION

Chairman: W. Lawton

9 : 00 - 9 : 50 J. Benedetto
(Maryland)
Wavelets, sampling and noise reduction.
9 : 50 - 10 : 40 V. Wickerhauser
(Washington)
Comparison of wavelet image coding schemes for seismic data compression.

Tea Break

Chairman: D. Hardin

11 : 00 - 11 : 50 Z.W. Shen (Singapore) Tight frames in L2 (Dd).
11 : 50 - 12 : 15 K.S. Lau (CUHK) Regularity of LP - scaling functions.
12 : 15 - 12 : 35 J. Wu
(U.S. Army Research
Office - Far East)
Research directions in U.S. - a partial and personal perspective.
12 : 35 CLOSE