Systems Seminar
Vector Space Projections (VSP) for Signal and Image Processing
Prof. Nikolas P. Galatsanos
Illinois Institute of Technology
ECE Dept.
Abstract
According to the fundamental theorem of VSP the sequence of alternating
projections onto m-intersecting convex sets converges to a point of the
intersection. VSP have found numerous applications in signal and
image processing problems. To solve a signal/image design/estimation
problem using VSP, constraints sets that capture the spefications/known
information have to be defined and the projections onto
them have to be computed. Alternating projections are then used to find
a point in the intersection of these sets. This point since it satisfies
simultaneously all design constraints is the desired solution.
In this talk we shall briefly review the theory of VSP and then describe
two
applications of VSP. First, in the design of finite impulse response (FIR)
filters/filter-banks and second, in the recovery of compressed
images/video.
Time and Place: Wed., Apr. 5, 3:30-4:30 pm in 4610 Engr. Hall.
SYSTEMS SEMINAR WEB PAGE:
http://www.cae.wisc.edu/~gubner/seminar/