Phase retrieval problems in x-ray physics

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Publisher : Göttingen University Press
ISBN 13 : 3863952103
Total Pages : 126 pages
Book Rating : 4.8/5 (639 download)

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Book Synopsis Phase retrieval problems in x-ray physics by : Carolin Homann

Download or read book Phase retrieval problems in x-ray physics written by Carolin Homann and published by Göttingen University Press. This book was released on 2015 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: from modeling to efficient algorithms

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Author :
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (931 download)

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Book Synopsis Phase retrieval problems in x-ray physics: from modeling to efficient algorithms by : Carolin Homann

Download or read book Phase retrieval problems in x-ray physics: from modeling to efficient algorithms written by Carolin Homann and published by . This book was released on 2015 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nanoscale Photonic Imaging

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Publisher : Springer Nature
ISBN 13 : 3030344134
Total Pages : 634 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Nanoscale Photonic Imaging by : Tim Salditt

Download or read book Nanoscale Photonic Imaging written by Tim Salditt and published by Springer Nature. This book was released on 2020-06-09 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometry of the Phase Retrieval Problem

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Publisher :
ISBN 13 : 9781009003919
Total Pages : pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Geometry of the Phase Retrieval Problem by : Alex Barnett

Download or read book Geometry of the Phase Retrieval Problem written by Alex Barnett and published by . This book was released on 2022 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: "Recovering the phase of the Fourier transform is a ubiquitous problem in imaging applications from astronomy to nanoscale X-ray diffraction imaging. Despite the efforts of a multitude of scientists, from astronomers to mathematicians, there is, as yet, no satisfactory theoretical or algorithmic solution to this class of problems. Written for mathematicians, physicists and engineers working in image analysis and reconstruction, this book introduces a conceptual, geometric framework for the analysis of these problems, leading to a deeper understanding of the essential, algorithmically independent, difficulty of their solutions. Using this framework, the book studies standard algorithms and a range of theoretical issues in phase retrieval and provides several new algorithms and approaches to this problem with the potential to improve the reconstructed images. The book is lavishly illustrated with the results of numerous numerical experiments that motivate the theoretical development and place it in the context of practical applications"--

Coherent X-Ray Optics

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Publisher : Oxford University Press on Demand
ISBN 13 : 0198567286
Total Pages : 424 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Coherent X-Ray Optics by : David Paganin

Download or read book Coherent X-Ray Optics written by David Paganin and published by Oxford University Press on Demand. This book was released on 2006-01-12 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: X-ray optics is undergoing a renaissance, which may be paralleled to that experienced by visible-light optics following the invention of the laser. The associated surge of activity in "coherent" x-ray optics has been documented in this monograph, the first of its type in the field.

Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs

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Publisher : Göttingen University Press
ISBN 13 : 3863954114
Total Pages : 225 pages
Book Rating : 4.8/5 (639 download)

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Book Synopsis Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs by : Frederic Weidling

Download or read book Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs written by Frederic Weidling and published by Göttingen University Press. This book was released on 2019 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Medical Imaging Systems

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Publisher : Springer
ISBN 13 : 3319965204
Total Pages : 263 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Medical Imaging Systems by : Andreas Maier

Download or read book Medical Imaging Systems written by Andreas Maier and published by Springer. This book was released on 2018-08-02 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book gives a complete and comprehensive introduction to the fields of medical imaging systems, as designed for a broad range of applications. The authors of the book first explain the foundations of system theory and image processing, before highlighting several modalities in a dedicated chapter. The initial focus is on modalities that are closely related to traditional camera systems such as endoscopy and microscopy. This is followed by more complex image formation processes: magnetic resonance imaging, X-ray projection imaging, computed tomography, X-ray phase-contrast imaging, nuclear imaging, ultrasound, and optical coherence tomography.

Advances in Imaging and Electron Physics

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Publisher : Academic Press
ISBN 13 : 0080569129
Total Pages : 281 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Advances in Imaging and Electron Physics by :

Download or read book Advances in Imaging and Electron Physics written by and published by Academic Press. This book was released on 2011-09-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Imaging and Electron Physics merges two long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. This series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science and digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. Publication of this 150th volume is an event to be celebrated and, to mark the occasion, the editor has brought together leaders of some of the main themes of past and hopefully of future volumes: electron microscopy, since Ladislaus Marton was one of the pioneers; mathematical morphology, which has often appeared in this series and also fills a supplement, so often cited that it usually appears just as "Academic Press, 1994 (H.J.A.M. Heijmans, Morphological Image Operators, Supplement 25, 1994) with no mention of the Advances; ptychography, a highly original approach to the phase problem, the latter also the subject of a much cited Supplement (W.O. Saxton, 'Computer Techniques for Image Processing in Electron Microscopy', Supplement 10, 1978); and wavelets, which have become a subject in their own right, not just a tool in image processing. - Updated with contributions from leading international scholars and industry experts - Discusses hot topic areas and presents current and future research trends - Invaluable reference and guide for physicists, engineers and mathematicians

Modern Diagnostic X-Ray Sources

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Publisher : CRC Press
ISBN 13 : 1000376133
Total Pages : 413 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Modern Diagnostic X-Ray Sources by : Rolf Behling

Download or read book Modern Diagnostic X-Ray Sources written by Rolf Behling and published by CRC Press. This book was released on 2021-04-18 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gives an up-to-date summary of X-ray source design for applications in modern diagnostic medical imaging. Lays a sound groundwork for education and advanced training in the physics of X-ray production and X-ray interactions with matter. Includes a historical overview of X-ray tube and generator development, including key achievements leading up to the current technological and economic state of the field.

Handbook of X-ray Imaging

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Publisher : CRC Press
ISBN 13 : 149874155X
Total Pages : 2606 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Handbook of X-ray Imaging by : Paolo Russo

Download or read book Handbook of X-ray Imaging written by Paolo Russo and published by CRC Press. This book was released on 2017-12-14 with total page 2606 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing chapter contributions from over 130 experts, this unique publication is the first handbook dedicated to the physics and technology of X-ray imaging, offering extensive coverage of the field. This highly comprehensive work is edited by one of the world’s leading experts in X-ray imaging physics and technology and has been created with guidance from a Scientific Board containing respected and renowned scientists from around the world. The book's scope includes 2D and 3D X-ray imaging techniques from soft-X-ray to megavoltage energies, including computed tomography, fluoroscopy, dental imaging and small animal imaging, with several chapters dedicated to breast imaging techniques. 2D and 3D industrial imaging is incorporated, including imaging of artworks. Specific attention is dedicated to techniques of phase contrast X-ray imaging. The approach undertaken is one that illustrates the theory as well as the techniques and the devices routinely used in the various fields. Computational aspects are fully covered, including 3D reconstruction algorithms, hard/software phantoms, and computer-aided diagnosis. Theories of image quality are fully illustrated. Historical, radioprotection, radiation dosimetry, quality assurance and educational aspects are also covered. This handbook will be suitable for a very broad audience, including graduate students in medical physics and biomedical engineering; medical physics residents; radiographers; physicists and engineers in the field of imaging and non-destructive industrial testing using X-rays; and scientists interested in understanding and using X-ray imaging techniques. The handbook's editor, Dr. Paolo Russo, has over 30 years’ experience in the academic teaching of medical physics and X-ray imaging research. He has authored several book chapters in the field of X-ray imaging, is Editor-in-Chief of an international scientific journal in medical physics, and has responsibilities in the publication committees of international scientific organizations in medical physics. Features: Comprehensive coverage of the use of X-rays both in medical radiology and industrial testing The first handbook published to be dedicated to the physics and technology of X-rays Handbook edited by world authority, with contributions from experts in each field

Geometry of the Phase Retrieval Problem

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Publisher : Cambridge University Press
ISBN 13 : 1316518876
Total Pages : 321 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Geometry of the Phase Retrieval Problem by : Alexander H. Barnett

Download or read book Geometry of the Phase Retrieval Problem written by Alexander H. Barnett and published by Cambridge University Press. This book was released on 2022-05-05 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a theoretical foundation and conceptual framework for the problem of recovering the phase of the Fourier transform.

World Congress on Medical Physics and Biomedical Engineering May 26-31, 2012, Beijing, China

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Publisher : Springer Science & Business Media
ISBN 13 : 3642293050
Total Pages : 2385 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis World Congress on Medical Physics and Biomedical Engineering May 26-31, 2012, Beijing, China by : Mian Long

Download or read book World Congress on Medical Physics and Biomedical Engineering May 26-31, 2012, Beijing, China written by Mian Long and published by Springer Science & Business Media. This book was released on 2013-02-11 with total page 2385 pages. Available in PDF, EPUB and Kindle. Book excerpt: The congress’s unique structure represents the two dimensions of technology and medicine: 13 themes on science and medical technologies intersect with five challenging main topics of medicine to create a maximum of synergy and integration of aspects on research, development and application. Each of the congress themes was chaired by two leading experts. The themes address specific topics of medicine and technology that provide multiple and excellent opportunities for exchanges.

Springer Handbook of Microscopy

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Publisher : Springer Nature
ISBN 13 : 3030000699
Total Pages : 1561 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Springer Handbook of Microscopy by : Peter W. Hawkes

Download or read book Springer Handbook of Microscopy written by Peter W. Hawkes and published by Springer Nature. This book was released on 2019-11-02 with total page 1561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book features reviews by leading experts on the methods and applications of modern forms of microscopy. The recent awards of Nobel Prizes awarded for super-resolution optical microscopy and cryo-electron microscopy have demonstrated the rich scientific opportunities for research in novel microscopies. Earlier Nobel Prizes for electron microscopy (the instrument itself and applications to biology), scanning probe microscopy and holography are a reminder of the central role of microscopy in modern science, from the study of nanostructures in materials science, physics and chemistry to structural biology. Separate chapters are devoted to confocal, fluorescent and related novel optical microscopies, coherent diffractive imaging, scanning probe microscopy, transmission electron microscopy in all its modes from aberration corrected and analytical to in-situ and time-resolved, low energy electron microscopy, photoelectron microscopy, cryo-electron microscopy in biology, and also ion microscopy. In addition to serving as an essential reference for researchers and teachers in the fields such as materials science, condensed matter physics, solid-state chemistry, structural biology and the molecular sciences generally, the Springer Handbook of Microscopy is a unified, coherent and pedagogically attractive text for advanced students who need an authoritative yet accessible guide to the science and practice of microscopy.

Advances in Imaging and Electron Physics

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Publisher : Academic Press
ISBN 13 : 0128052279
Total Pages : 176 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Advances in Imaging and Electron Physics by : Peter W. Hawkes

Download or read book Advances in Imaging and Electron Physics written by Peter W. Hawkes and published by Academic Press. This book was released on 2016-10-14 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Imaging and Electron Physics merges two long-running serials, Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The series features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science, digital image processing, electromagnetic wave propagation, electron microscopy, and the computing methods used in all these domains. Contains contributions from leading authorities on imaging and electron physics that inform and update on the latest developments in the field Provides practitioners interested in microscopy, optics, image processing, mathematical morphology, electromagnetic fields, electron, and ion emission with a valuable resource Features extended articles on the physics of electron devices (especially semiconductor devices), particle optics at high and low energies, microlithography, image science, and digital image processing

Emerging Imaging Technologies in Medicine

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Publisher : CRC Press
ISBN 13 : 1439880417
Total Pages : 365 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Emerging Imaging Technologies in Medicine by : Mark A. Anastasio

Download or read book Emerging Imaging Technologies in Medicine written by Mark A. Anastasio and published by CRC Press. This book was released on 2012-12-06 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the discovery of x-rays in 1895 through the emergence of computed tomography (CT) in the 1970s and magnetic resonance imaging (MRI) in the 1980s, non-invasive imaging has revolutionized the practice of medicine. While these technologies have thoroughly penetrated clinical practice, scientists continue to develop novel approaches that promise to push imaging into entirely new clinical realms, while addressing the issues of dose, sensitivity, or specificity that limit existing imaging approaches. Emerging Imaging Technologies in Medicine surveys a number of emerging technologies that have the promise to find routine clinical use in the near- (less than five years), mid- (five to ten years) and long-term (more than ten years) time frames. Each chapter provides a detailed discussion of the associated physics and technology, and addresses improvements in terms of dose, sensitivity, and specificity, which are limitations of current imaging approaches. In particular, the book focuses on modalities with clinical potential rather than those likely to have an impact mainly in preclinical animal imaging. The last ten years have been a period of fervent creativity and progress in imaging technology, with improvements in computational power, nanofabrication, and laser and detector technology leading to major new developments in phase-contrast imaging, photoacoustic imaging, and optical imaging.

Information-Theoretic Methods in Data Science

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Publisher : Cambridge University Press
ISBN 13 : 1108427138
Total Pages : 561 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Information-Theoretic Methods in Data Science by : Miguel R. D. Rodrigues

Download or read book Information-Theoretic Methods in Data Science written by Miguel R. D. Rodrigues and published by Cambridge University Press. This book was released on 2021-04-08 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first unified treatment of the interface between information theory and emerging topics in data science, written in a clear, tutorial style. Covering topics such as data acquisition, representation, analysis, and communication, it is ideal for graduate students and researchers in information theory, signal processing, and machine learning.

Phase Retrieval and Zero Crossings

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792302100
Total Pages : 330 pages
Book Rating : 4.3/5 (21 download)

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Book Synopsis Phase Retrieval and Zero Crossings by : N.E. Hurt

Download or read book Phase Retrieval and Zero Crossings written by N.E. Hurt and published by Springer Science & Business Media. This book was released on 1989-04-30 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deals with signal reconstruction from incomplete, noisy data. Two aspects in particular are considered: phase retrieval, which originated in x-ray crystallography and astronomical interferometry; and the problem of signal recovery from zero crossings. Also explores the differences in mathematical re