I am involved in three primary areas of research:
- combining the wavelet transform with Mixed-domain filtering;
- fractal block coding of images and video.
I also like to do other things like listen to music and play
guitar and bass guitar (I play in a local band with other Ph.D. students).
I also enjoy squash and I'm really trying to get this golf thing
working. I also think that the
operating system is
the only way to go and that
is the best comic strip
Regular M-band wavelets which meet the regularity requirements and
have good pass-band and stop-band responses for all filters. Here's a
postscript plot of the
frequency response and
time-domain plots (876K) of a
3-Band paraunitary filter bank which
meets the wavelet regularity criterion.
(This page is
taken from my dissertation, which has not been published yet.)
See this reference for further details.
Combining wavelets and mixed-D filtering
The discrete wavelet transform (DWT) and mixed-domain filtering are combined
so that mixed-domain filtering takes place on the subband signals
which result from the wavelet transform. In this way, a controlled mechanism of
partitioning the frequency spectrum is introduced into
mixed-domain filtering, permitting a reduction in the overall computational
requirements. Here's a
block diagram of Combined DWT/Mixed-D
filtering (50K) .As above, this diagram is taken from my forthcoming dissertation.
If you are interested in more information, refer to
Fractal block digital video signals
Fractal block coding of images has recently received a lot of
attention recently. In this research, the basic fractal block coding algorithm
is extended to the true (i.e. inter-frame) coding of digital video. Follow
this link to see a
frame (84K) from the
decoded "Saleman" sequence
(224K) . Refer to
this paper for more details.
If you would like
to visit Yuval Fisher's fractal coding WWW site,
- M. S. Lazar and L. T. Bruton, "Three-Dimensional Linear Trajectory Filtering Using the DWT and the Mixed-Domain Approach," to appear in the IEEE International Conference on Circuits and Systems, London, 1994.
- M. S. Lazar and L. T. Bruton, "Fractal Block Coding of Digital Video," to appear
IEEE Transactions and Circuits and Systems for Video Technology, Special Issue for very low bit rate coding, June 1994.
- M. S. Lazar and L.T. Bruton, "On the Practical BIBO Stability of Multidimensional Filters," IEEE International Symposium on Circuits and Systems,
Chicago, May 1993, pp. 571 - 574.
- M. S. Lazar and L. T. Bruton, "The Design of Compactly Supported Orthonormal Wavelets with Integer Scaling Factors," IEEE International Symposium on Time-Frequency and Time-Scale Analysis, Victoria B.C., Oct. 1992, pp. 323-326.
- Z. J. Koles, M. S. Lazar, and S. Zhou, "Spatial Patterns Underlying Population Differences in the Background EEG," Brain Topography,
Vol. 2, No. 4, 1990, pp 275-284.
- Z. J. Koles, A. Kasmia, and M. S. Lazar, "The Extraction of Spatial Patterns From the Electroencephalogram," in Computer Vision and Shape Recognition, (A. Krzyzak, T. Kasvand, and C. Suen, eds.), Singapore: World Scientific, 1989, pp. 101-113.
- Z. J. Koles, A. Kasmia and M. S. Lazar, "Representation of Spatial Patterns in the Electrical Activity Generated by the Brain," Canadian Image Processing and Pattern Recognition Society Vision Interface `88 Proceedings, Edmonton,
June 1988, pp. 31-34.
- M. S. Lazar and X. Li, "An Omnidirectional Edge Tracking Method Incorporating Adaptive Parameter Adjustment," Canadian Image Processing and Pattern Recognition Society Vision Interface `87 Proceedings,
Edmonton, November 1987, pp. 387-385.
I can be reached at:
or by snail-mail at
Dept. of Electrical and Computer Engineering
University of Calgary, Calgary Alberta Canada