The focus of this book is on "ill-posed inverse problems". These
problems cannot be solved only on the basis of observed data. The
building of solutions involves the recognition of other pieces of a
priori information. These solutions are then specific to the pieces of
information taken into account. Clarifying and taking these pieces of
information into account is necessary for grasping the domain of
validity and the field of application for the solutions built. For too
long, the interest in these problems has remained very limited in the
signal-image community. However, the community has since recognized that
these matters are more interesting and they have become the subject of
much greater enthusiasm.
From the application field's point of view, a significant part of the
book is devoted to conventional subjects in the field of inversion:
biological and medical imaging, astronomy, non-destructive evaluation,
processing of video sequences, target tracking, sensor networks and
digital communications.
The variety of chapters is also clear, when we examine the acquisition
modalities at stake: conventional modalities, such as tomography and
NMR, visible or infrared optical imaging, or more recent modalities such
as atomic force imaging and polarized light imaging.