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Time-dependent Problems in Imaging and Parameter Identification

Name: Time-dependent Problems in Imaging and Parameter Identification
Brand: Springer Nature Switzerland AG
SKU: 38688543
Price: 160.89 EUR
Availability: InStock
Author: Barbara Kaltenbacher
ISBN: 9783030577865

Barbara Kaltenbacher

Thomas Schuster

Anne Wald

Language

English

Book Paperback

Libristo code: 38688543

Publishers Springer Nature Switzerland AG, February 2022

Inverse problems such as imaging or parameter identification deal with the recovery of unknown quant... Full description

Libristo code: 38688543

394 b

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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.