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Time-dependent Problems in Imaging and Parameter Identification (Hardcover, 1st ed. 2021)
Loot Price: R3,968
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Time-dependent Problems in Imaging and Parameter Identification (Hardcover, 1st ed. 2021)
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Inverse problems such as imaging or parameter identification deal
with the recovery of unknown quantities from indirect observations,
connected via a model describing the underlying context. While
traditionally inverse problems are formulated and investigated in a
static setting, we observe a significant increase of interest in
time-dependence in a growing number of important applications over
the last few years. Here, time-dependence affects a) the unknown
function to be recovered and / or b) the observed data and / or c)
the underlying process. Challenging applications in the field of
imaging and parameter identification are techniques such as
photoacoustic tomography, elastography, dynamic computerized or
emission tomography, dynamic magnetic resonance imaging,
super-resolution in image sequences and videos, health monitoring
of elastic structures, optical flow problems or magnetic particle
imaging to name only a few. Such problems demand for innovation
concerning their mathematical description and analysis as well as
computational approaches for their solution.
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