1 option
Time-dependent Problems in Imaging and Parameter Identification / edited by Barbara Kaltenbacher, Thomas Schuster, Anne Wald.
Springer Nature - Springer Mathematics and Statistics eBooks 2021 English International Available online
View online- Format:
- Book
- Series:
- Mathematics and Statistics Series
- Language:
- English
- Subjects (All):
- Computer science--Mathematics.
- Computer science.
- Computer vision.
- Numerical analysis.
- Mathematical Applications in Computer Science.
- Computer Vision.
- Numerical Analysis.
- Local Subjects:
- Mathematical Applications in Computer Science.
- Computer Vision.
- Numerical Analysis.
- Physical Description:
- 1 online resource (464 pages)
- Edition:
- 1st ed. 2021.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2021.
- System Details:
- Mode of access: World Wide Web.
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 3-030-57784-8
- OCLC:
- 1239969328
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.