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210312 ||| eng |
| 020 |
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|a 9783030577841
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| 100 |
1 |
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|a Kaltenbacher, Barbara
|e [editor]
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| 245 |
0 |
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|a Time-dependent Problems in Imaging and Parameter Identification
|h Elektronische Ressource
|c edited by Barbara Kaltenbacher, Thomas Schuster, Anne Wald
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| 250 |
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|a 1st ed. 2021
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| 260 |
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|a Cham
|b Springer International Publishing
|c 2021, 2021
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| 300 |
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|a XIV, 456 p. 90 illus., 64 illus. in color
|b online resource
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| 505 |
0 |
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|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
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| 653 |
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|a Computer science / Mathematics
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| 653 |
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|a Numerical Analysis
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| 653 |
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|a Computer vision
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| 653 |
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|a Computer Vision
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| 653 |
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|a Mathematical Applications in Computer Science
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| 653 |
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|a Numerical analysis
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| 700 |
1 |
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|a Schuster, Thomas
|e [editor]
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| 700 |
1 |
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|a Wald, Anne
|e [editor]
|
| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b Springer
|a Springer eBooks 2005-
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| 028 |
5 |
0 |
|a 10.1007/978-3-030-57784-1
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| 856 |
4 |
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|u https://doi.org/10.1007/978-3-030-57784-1?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 004.0151
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| 520 |
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|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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