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Phase Estimation in Optical Interferometry
book

Phase Estimation in Optical Interferometry

by Pramod Rastogi, Erwin Hack
November 2014
Intermediate to advanced content levelIntermediate to advanced
366 pages
11h 5m
English
CRC Press
Content preview from Phase Estimation in Optical Interferometry
Regularized Phase Estimation Methods in Interferometry 151
BOX5.1 CLASSICAL REGULARIZATION FOR
LOW-PASS FILTERING
A noisy measured image I(x,y) may be mathematically modeled as
I(x, y) = f(x, y) + n(x, y), (x, y) P.
We can estimate f(x,y) by minimizing quadratic regularizer function-
als (using, for instance, gradient descend). The first-order regularizer
functional is given by
=− −−
−−
Uf xy fxyIxy fxyfxy fxyfxy
xy P
[(,)]{[(,) (,)] [(,) (1,)][(,)(
,1
)] }.
222
(,)
The second-order (metallic thin-plate) regularizer functional is
given by
=
−+η+ −+
+−
+−
+−−− −−
Uf xy
fxyIxy fx yfxy fx y
fxyfxy fxy
fxyfxy fx ...
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Publisher Resources

ISBN: 9781466598317