Phase Retrieval Problems In X Ray Physics From Modeling To Efficient Algorithms

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Phase Retrieval Problems In X Ray Physics From Modeling To Efficient Algorithms

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Author : Carolin Homann
language : de
Publisher:
Release Date : 2015

Phase Retrieval Problems In X Ray Physics From Modeling To Efficient Algorithms written by Carolin Homann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

In phase retrieval problems that occur in imaging by coherent x-ray diffraction, one tries to reconstruct information about a sample of interest from possibly noisy intensity measurements of the wave fi eld traversing the sample. The mathematical formulation of these problems bases on some assumptions. Usually one of them is that the x-ray wave fi eld is generated by a point source. In order to address this very idealized assumption, it is common to perform a data preprocessing step, the so-called empty beam correction. Within this work, we study the validity of this approach by presenting a quantitative error estimate. Moreover, in order to solve these phase retrieval problems, we want to incorporate a priori knowledge about the structure of the noise and the solution into the reconstruction process. For this reason, the application of a problem adapted iteratively regularized Newton-type method becomes particularly attractive. This method includes the solution of a convex minimization problem in each iteration step. We present a method for solving general optimization problems of this form. Our method is a generalization of a commonly used algorithm which makes it efficiently applicable to a wide class of problems. We also proof convergence results and show the performance of our method by numerical examples.

Phase Retrieval Problems In X Ray Physics

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Author : Carolin Homann
language : en
Publisher: Göttingen University Press
Release Date : 2015

Phase Retrieval Problems In X Ray Physics written by Carolin Homann and has been published by Göttingen University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

In phase retrieval problems that occur in imaging by coherent x-ray diffraction, one tries to reconstruct information about a sample of interest from possibly noisy intensity measurements of the wave fi eld traversing the sample. The mathematical formulation of these problems bases on some assumptions. Usually one of them is that the x-ray wave fi eld is generated by a point source. In order to address this very idealized assumption, it is common to perform a data preprocessing step, the so-called empty beam correction. Within this work, we study the validity of this approach by presenting a quantitative error estimate. Moreover, in order to solve these phase retrieval problems, we want to incorporate a priori knowledge about the structure of the noise and the solution into the reconstruction process. For this reason, the application of a problem adapted iteratively regularized Newton-type method becomes particularly attractive. This method includes the solution of a convex minimization problem in each iteration step. We present a method for solving general optimization problems of this form. Our method is a generalization of a commonly used algorithm which makes it efficiently applicable to a wide class of problems. We also proof convergence results and show the performance of our method by numerical examples.

Variational Source Conditions And Conditional Stability Estimates For Inverse Problems In Pdes

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Author : Frederic Weidling
language : en
Publisher: Göttingen University Press
Release Date : 2019

Variational Source Conditions And Conditional Stability Estimates For Inverse Problems In Pdes written by Frederic Weidling and has been published by Göttingen University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.

In inverse problems one wants to find some parameter of interest which is not directly observable by indirect measurement. These measurements are usually noisy while the mapping of measurement to parameter is typically illposed (that is unstable). Therefore one applies regularization techniques that balance these two factors to find a stable approximation of the sought for parameter. However, in order to bound the reconstruction error, one needs additional information on the true parameter, which is nowadays typically formulated in terms of variational source conditions. In this thesis, we develop a general strategy to verify these conditions based on smoothness of the true parameter and the illposedness of the problem; the latter will be characterized by exploiting structural similarities to stability estimates. Following this, we apply our strategy to verify variational source conditions for parameter identification problems, inverse scattering and electrical impedance tomography.

Nanoscale Photonic Imaging

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Author : Tim Salditt
language : en
Publisher: Springer Nature
Release Date : 2020-06-09

Nanoscale Photonic Imaging written by Tim Salditt and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-09 with Science categories.

This open access book, edited and authored by a team of world-leading researchers, provides a broad overview of advanced photonic methods for nanoscale visualization, as well as describing a range of fascinating in-depth studies. Introductory chapters cover the most relevant physics and basic methods that young researchers need to master in order to work effectively in the field of nanoscale photonic imaging, from physical first principles, to instrumentation, to mathematical foundations of imaging and data analysis. Subsequent chapters demonstrate how these cutting edge methods are applied to a variety of systems, including complex fluids and biomolecular systems, for visualizing their structure and dynamics, in space and on timescales extending over many orders of magnitude down to the femtosecond range. Progress in nanoscale photonic imaging in Göttingen has been the sum total of more than a decade of work by a wide range of scientists and mathematicians across disciplines, working together in a vibrant collaboration of a kind rarely matched. This volume presents the highlights of their research achievements and serves as a record of the unique and remarkable constellation of contributors, as well as looking ahead at the future prospects in this field. It will serve not only as a useful reference for experienced researchers but also as a valuable point of entry for newcomers.

Comprehensive Biomedical Physics

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Author :
language : en
Publisher: Newnes
Release Date : 2014-07-25

Comprehensive Biomedical Physics written by and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-25 with Science categories.

Comprehensive Biomedical Physics, Ten Volume Set is a new reference work that provides the first point of entry to the literature for all scientists interested in biomedical physics. It is of particularly use for graduate and postgraduate students in the areas of medical biophysics. This Work is indispensable to all serious readers in this interdisciplinary area where physics is applied in medicine and biology. Written by leading scientists who have evaluated and summarized the most important methods, principles, technologies and data within the field, Comprehensive Biomedical Physics is a vital addition to the reference libraries of those working within the areas of medical imaging, radiation sources, detectors, biology, safety and therapy, physiology, and pharmacology as well as in the treatment of different clinical conditions and bioinformatics. This Work will be valuable to students working in all aspect of medical biophysics, including medical imaging and biomedical radiation science and therapy, physiology, pharmacology and treatment of clinical conditions and bioinformatics. The most comprehensive work on biomedical physics ever published Covers one of the fastest growing areas in the physical sciences, including interdisciplinary areas ranging from advanced nuclear physics and quantum mechanics through mathematics to molecular biology and medicine Contains 1800 illustrations, all in full color

Advances In Atomic Molecular And Optical Physics

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Author : Susanne Yelin
language : en
Publisher: Academic Press
Release Date : 2020-06-17

Advances In Atomic Molecular And Optical Physics written by Susanne Yelin and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-17 with Science categories.

Advances in Atomic, Molecular, and Optical Physics, Volume 69, the latest release in this ongoing series, provides a comprehensive compilation of recent developments in a field that is in a state of rapid growth, as new experimental and theoretical techniques are used on many problems, both old and new. Topics covered in this new release include Strong-field ion spectroscopy, Configurable microscopic optical potentials, Polaritons, Rydberg excitation of trapped cold ions - a new platform for quantum technologies, High intensity QED, Recollision imaging, and more. - Presents the work of international experts in the field - Contains comprehensive articles that compile recent developments in a field that is experiencing rapid growth, with new experimental and theoretical techniques emerging - Ideal for users interested in optics, excitons, plasmas and thermodynamics - Covers atmospheric science, astrophysics, and surface and laser physics, amongst other topics

Japanese Journal Of Applied Physics

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Author :
language : en
Publisher:
Release Date : 1992

Japanese Journal Of Applied Physics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Physics categories.

World Congress On Medical Physics And Biomedical Engineering September 7 12 2009 Munich Germany

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Author : Olaf Dössel
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-04

World Congress On Medical Physics And Biomedical Engineering September 7 12 2009 Munich Germany written by Olaf Dössel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-04 with Technology & Engineering categories.

Present Your Research to the World! The World Congress 2009 on Medical Physics and Biomedical Engineering – the triennial scientific meeting of the IUPESM - is the world’s leading forum for presenting the results of current scientific work in health-related physics and technologies to an international audience. With more than 2,800 presentations it will be the biggest conference in the fields of Medical Physics and Biomedical Engineering in 2009! Medical physics, biomedical engineering and bioengineering have been driving forces of innovation and progress in medicine and healthcare over the past two decades. As new key technologies arise with significant potential to open new options in diagnostics and therapeutics, it is a multidisciplinary task to evaluate their benefit for medicine and healthcare with respect to the quality of performance and therapeutic output. Covering key aspects such as information and communication technologies, micro- and nanosystems, optics and biotechnology, the congress will serve as an inter- and multidisciplinary platform that brings together people from basic research, R&D, industry and medical application to discuss these issues. As a major event for science, medicine and technology the congress provides a comprehensive overview and in–depth, first-hand information on new developments, advanced technologies and current and future applications. With this Final Program we would like to give you an overview of the dimension of the congress and invite you to join us in Munich! Olaf Dössel Congress President Wolfgang C.

Inverse Problems In Scattering And Imaging

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Author : Society of Photo-optical Instrumentation Engineers
language : en
Publisher: SPIE-International Society for Optical Engineering
Release Date : 1992

Inverse Problems In Scattering And Imaging written by Society of Photo-optical Instrumentation Engineers and has been published by SPIE-International Society for Optical Engineering this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Computers categories.

Compressed Sensing And Its Applications

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Author : Holger Boche
language : en
Publisher: Birkhäuser
Release Date : 2018-01-17

Compressed Sensing And Its Applications written by Holger Boche and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-17 with Mathematics categories.

This contributed volume contains articles written by the plenary and invited speakers from the second international MATHEON Workshop 2015 that focus on applications of compressed sensing. Article authors address their techniques for solving the problems of compressed sensing, as well as connections to related areas like detecting community-like structures in graphs, curbatures on Grassmanians, and randomized tensor train singular value decompositions. Some of the novel applications covered include dimensionality reduction, information theory, random matrices, sparse approximation, and sparse recovery. This book is aimed at both graduate students and researchers in the areas of applied mathematics, computer science, and engineering, as well as other applied scientists exploring the potential applications for the novel methodology of compressed sensing. An introduction to the subject of compressed sensing is also provided for researchers interested in the field who are not as familiar with it.