THE CENTER FOR COMMUNICATIONS AND SIGNAL PROCESSING RESEARCH
and
THE NORTH JERSEY CHAPTERS OF THE IEEE COMSOC AND SP SOCIETIES
Present
SPATIO-TEMPORAL WAVELET FOR DIGITAL SIGNAL PROCESSING
by
JEAN-PIERRE LEDUC
WHEN: Monday, February 12, 1996, 11:30 a.m. (Refreshments at 11:15)
WHERE: Room 202, Electrical and Computer Engineering Center
New Jersey Institute of Technology
ABSTRACT
The primary goal of this talk is to present spatio-temporal wavelet transforms
in n-dimensional spatio-temporal spaces and bring together continuous, frame
and discrete versions. As a major difference to multi-dimensional homogeneous
spaces, the spatio-temporal signals involve motions that fold the signal along
the temporal dimension. The talk will then start with Fourier analyses of the
spatio-temporal signals and proceed with the theory of motion-compensated
wavelet filtering in the discrete realm of image processing. Modeling motion
with 2-D affine transformations leads to spatio-temporal generalizations.
Decomposition into elementary operators leads to developing transformation
groups and exploiting the related representation theory. The construction of
continuous spatio-temporal wavelets in Rn x R spaces is then apprehended with
classical techniques of calculation. Close connections may then be established
among all the spatio-temporal wavelet transforms through different sets of
transformations. In this approach, new wavelet transforms, called affine-
Galilean wavelets, have been designed to incorporate four main parameters;
namely, scale (dilation), spatio-temporal location (translation), spatial
orientation (rotation) and velocity; i.e., the speed vector (spatio-temporal
shear). Frames of wavelets are thereafter investigated. On one end, the
discrete wavelet transforms stand as powerful tools for signal filtering with
numerous properties amenable to applications like coding, interpolation,
reconstruction and noise smoothing. On the other end, the continuous wavelet
transforms stand as powerful tools of signal analysis with numerous sets of
parameters to put in operation.
BIOGRAPHY
Jean-Pierre Leduc received his Electrical Engineer degree from the Faculte
Polytechnique de Mons, Mons, Belgium, in 1978; his Master of Science in
Electrical Engineering from Columbia University, New-York, in 1987; and his
Ph.D. in Electrical Engineering from the Catholic University of Louvain,
Louvain-la-Neuve, Belgium, in 1993. His doctoral research involved image
sequence coding algorithms. Dr. Leduc is the author of a book in Elsevier
Science Publishers' series on "Advances in Image Communications," volume 3,
1994. The book deals with image sequence coding and transmission in ATM
networks. Recently he received a fellowship from the European Communities, DG
XII, at the IRISA (Research Institute in Computer Science and Stochastic
Processes) in Rennes, France. The project aims at combining wavelet
transforms and motion analysis techniques for digital image sequence
processing. He is the author of eighteen international conference papers and
five international journal articles.
PLEASE POST
For more information, contact Professor N. Ansari, (201) 596-3670
e-mail: ang@faraday.njit.edu
WWW: http://hertz.njit.edu/~ieeenj
TRAVEL DIRECTIONS TO NEW JERSEY INSTITUTE OF TECHNOLOGY
By Car
GARDEN STATE PARKWAY (GSP): Take Exit 145 to Route 280 East, then follow
Route 280 East directions.
NEW JERSEY TURNPIKE: Take Exit 15W to Route 280 West, then follow 280 West
directions.
ROUTE 280 WEST: Take Exit 15 (Route 21, Newark) immediately after the William
Stickel Memorial Bridge. At light at foot of ramp, make a soft left onto
University Avenue. At fourth light, make a right on Central Avenue. Go
through light at King Blvd. Make first left after light on Summit Street
to arrive at the NJIT campus.
ROUTE 280 EAST: Take Exit 14A, King Blvd. Make a right at the light at
the foot of the ramp. Bear right through the first light, staying on King
Blvd. Go two more lights and make a right on Central Avenue. Make first
left on Summit Street to arrive at the NJIT campus.
ROUTE 1 & 9 NORTH AND SOUTH: Take exit marked Newark, Route 21 (McCarter
Highway). Cross bridge. At light at end of bridge, make quick left then
quick right for Broad Street. (There are clear signs for Broad Street.)
Go about 1 mile. Make a left on Court Street. Make right at third light
on King Blvd. Make left at sixth light on Central Avenue. Make first
left on Summit Street to arrive at the NJIT campus.
ROUTE 78: Take Route 78 to the Garden State Parkway. Follow GSP directions.
ROUTE 22: Take Route 22 to Route 21 North. Follow directions for Route
21 North.
ROUTE 21 NORTH: Cross bridge. At light at end of bridge, make quick left
then quick right for Broad Street. (There are clear signs for Broad Street.)
Go about 1 mile. Make a left on Court Street. Make right at third light
on King Blvd. Make left at sixth light on Central Avenue. Make first left
on Summit Street to arrive at the NJIT campus.
ROUTE 21 SOUTH: Make a right on Market Street. Bear right at fork. Make
right at top of hill on King Blvd. At second light make a left on Central
Avenue. Make first left on Summit Street to arrive at the NJIT campus.
NEW YORK THRUWAY: Thruway to Exit 14A, Garden State Parkway. Follow GSP
directions.
GEORGE WASHINGTON BRIDGE: NJ Turnpike South to Exit 15W. Follow Route 280
West directions.
LINCOLN TUNNEL: West on Route 3 to NJ Turnpike South to Exit 15W. Follow
Route 280 West directions.
Other Transportation Systems
NEWARK INTERNATIONAL AIRPORT: Five miles from the NJIT campus. A minibus
(Newark Airlink) or taxi service connects the airport with Penn Station in
Newark. Bus, city subway, and taxi connections may be obtained at the
station.
NEWARK PENN STATION: Connections to the NJIT campus may be made by bus,
city subway, or taxi.
MORRIS & ESSEX BROAD STREET STATION: A five block walk to the NJIT campus
via King Blvd. to Central Avenue. Taxi service is also available.
NEWARK CITY SUBWAY: From Penn Station in Newark, take the Warren Street
stop for the NJIT campus.
