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Time-dependent problems in imaging a...

Kaltenbacher, Barbara.

Time-dependent problems in imaging and parameter identification

Record Type:	Electronic resources : Monograph/item
Title/Author:	Time-dependent problems in imaging and parameter identificationedited by Barbara Kaltenbacher, Thomas Schuster, Anne Wald.
other author:	Kaltenbacher, Barbara.
Published:	Cham :Springer International Publishing :2021.
Description:	xiv, 456 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Image processingMathematics.
Online resource:	https://doi.org/10.1007/978-3-030-57784-1
ISBN:	9783030577841$q(electronic bk.)

Time-dependent problems in imaging and parameter identification
Time-dependent problems in imaging and parameter identification[electronic resource] /edited by Barbara Kaltenbacher, Thomas Schuster, Anne Wald. - Cham :Springer International Publishing :2021. - xiv, 456 p. :ill., digital ;24 cm.

1. Joint phase reconstruction and magnitude segmentation from velocity-encoded MRI data -- 2. Dynamic Inverse Problems for the Acoustic Wave Equation -- 3. Motion compensation strategies in tomography -- 4. Microlocal properties of dynamic Fourier integral operators -- 5. The tangential cone condition for some coefficient identification model problems in parabolic PDEs -- 6. Sequential subspace optimization for recovering stored energy functions in hyperelastic materials from time-dependent data -- 7. Joint Motion Estimation and Source Identification using Convective Regularisation with an Application to the Analysis of Laser Nanoablations -- 8. Quantitative OCT reconstructions for dispersive media -- 9. Review of Image Similarity Measures for Joint Image Reconstruction from Multiple Measurements -- 10. Holmgren-John Unique Continuation Theorem for Viscoelastic Systems -- 11. Tomographic Reconstruction for Single Conjugate Adaptive Optics -- 12. Inverse Problems of Single Molecule Localization Microscopy -- 13. Parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging -- 14. An inverse source problem related to acoustic nonlinearity parameter imaging.

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.

ISBN: 9783030577841$q(electronic bk.)

Standard No.: 10.1007/978-3-030-57784-1doiSubjects--Topical Terms:

184606
Image processing
--Mathematics.

LC Class. No.: TA1637.5 / .T56 2021

Dewey Class. No.: 621.367

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505 0 $a 1. Joint phase reconstruction and magnitude segmentation from velocity-encoded MRI data -- 2. Dynamic Inverse Problems for the Acoustic Wave Equation -- 3. Motion compensation strategies in tomography -- 4. Microlocal properties of dynamic Fourier integral operators -- 5. The tangential cone condition for some coefficient identification model problems in parabolic PDEs -- 6. Sequential subspace optimization for recovering stored energy functions in hyperelastic materials from time-dependent data -- 7. Joint Motion Estimation and Source Identification using Convective Regularisation with an Application to the Analysis of Laser Nanoablations -- 8. Quantitative OCT reconstructions for dispersive media -- 9. Review of Image Similarity Measures for Joint Image Reconstruction from Multiple Measurements -- 10. Holmgren-John Unique Continuation Theorem for Viscoelastic Systems -- 11. Tomographic Reconstruction for Single Conjugate Adaptive Optics -- 12. Inverse Problems of Single Molecule Localization Microscopy -- 13. Parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging -- 14. An inverse source problem related to acoustic nonlinearity parameter imaging.
520 $a 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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