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Undoubtably one of the key factors influencing recent technology
has been the advent of high speed computational tools. Virtually
every advanced engi neering system we come in contact with these
days depends upon some form of sampling and digital signal
processing. Well known examples are digital tele phone systems,
digital recording of audio signals and computer control. These
developments have been matched by the appearance of a plethora of
books which explain a variety of analysis, synthesis and design
tools applica ble to sampled-data systems. The reader might
therefore wonder what is distinc tive about the current book. Our
observation of the existing literature is that the underlying
continuous-time system is usually forgotten once the samples are
tak en. The alternative point of view, adopted in this book, is to
formulate the analy sis in such a way that the user is constantly
reminded of the presence of the under lying continuous-time
signals. We thus give emphasis to two aspects of sampled-data
analysis: Firstly, we formulate the various algorithms so that the
appropriate contin uous-time case is approached as the sampling
rate increases. Secondly we place emphasis on the continuous-time
output response rath er than simply focusing on the sampled
response."
Endoscopic imaging is a very important tool in modern medicine.
Physicians set very high demands for image quality, but that
quality is limited by endoscope fiber technology. This research
addresses the problem of resolution enhancement of endoscopic
images. A mathematical model of an endoscope was developed,
describing an endoscope system as a Linear Space Invariant (LSI)
filtering with sampling. The problem of image resolution
improvement was considered as a Super Resolution (SR) problem. An
efficient algorithm for calculating reconstruction discrete filters
is presented, handling a general sampling grid. The problem of
Moire artifacts which is typical for images of fiber-scopes is
discussed in this work. The processes involved in the creation of
the artifacts are studied and modeled by the computer simulations.
We explain how the technological breakthrough of the recent years
in development of high-resolution imaging sensors can help to
eliminate the problem of the artifacts."
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