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Book synopsis

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.

Book details

Book category Books in English Computing & information technology Computer science Mathematical theory of computation

• Full title: Time-dependent Problems in Imaging and Parameter Identification
• Author: Barbara Kaltenbacher, Thomas Schuster, Anne Wald
• Language: English
• Binding: Paperback
• Number of pages: 456
• EAN: 9783030577865
• ID: 38688543
• Publisher: Springer Nature Switzerland AG
• Weight: 718 g
• Dimensions: 235 × 155 × 26 mm
• Date of publishing: 24. February 2022

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