This book covers recent mathematical, numerical, and statistical
approaches for multistatic imaging of targets with waves at single
or multiple frequencies. The waves can be acoustic, elastic or
electromagnetic. They are generated by point sources on a
transmitter array and measured on a receiver array. An important
problem in multistatic imaging is to quantify and understand the
trade-offs between data size, computational complexity,
signal-to-noise ratio, and resolution. Another fundamental problem
is to have a shape representation well suited to solving target
imaging problems from multistatic data.
In this book the trade-off between resolution and stability when
the data are noisy is addressed. Efficient imaging algorithms are
provided and their resolution and stability with respect to noise
in the measurements analyzed. It also shows that high-order
polarization tensors provide an accurate representation of the
target. Moreover, a dictionary-matching technique based on new
invariants for the generalized polarization tensors is introduced.
Matlab codes for the main algorithms described in this book are
provided. Numerical illustrations using these codes in order to
highlight the performance and show the limitations of numerical
approaches for multistatic imaging are presented.
General
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