Geometry of the Phase Retrieval Problem

Geometry of the Phase Retrieval Problem
Author: Alexander H. Barnett
Publisher: Cambridge University Press
Total Pages: 321
Release: 2022-05-05
Genre: Mathematics
ISBN: 1316518876

This book provides a theoretical foundation and conceptual framework for the problem of recovering the phase of the Fourier transform.

Nanoscale Photonic Imaging

Nanoscale Photonic Imaging
Author: Tim Salditt
Publisher: Springer Nature
Total Pages: 634
Release: 2020-06-09
Genre: Science
ISBN: 3030344134

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.

The Fractional Fourier Transform

The Fractional Fourier Transform
Author: Haldun M. Ozaktas
Publisher: John Wiley & Sons
Total Pages: 546
Release: 2001-02-08
Genre: Mathematics
ISBN:

The discovery of the Fractional Fourier Transform and its role in optics and data management provides an elegant mathematical framework within which to discuss diffraction and other fundamental aspects of optical systems. This book explains how the fractional Fourier transform has allowed the generalization of the Fourier transform and the notion of the frequency transform. It will serve as the standard reference on Fourier transforms for many years to come.

Phase Retrieval and Zero Crossings

Phase Retrieval and Zero Crossings
Author: N.E. Hurt
Publisher: Springer Science & Business Media
Total Pages: 328
Release: 2001-11-30
Genre: Mathematics
ISBN: 9781402003370

'Et moi, ... , si j'avait su comment en :revenir, One scrvice mathematics has rendered the je n'y scrais point alle.' human race. lt has put common sense back Jules Veme where it bdongs, on the topmost shelf next to the dusty canister labclled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Erle T. Bc1l 0. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com­ puter science .. .'; 'One service category theory has rendered mathematics .. .'.All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Formerly Advances in Electronics and Electron Physics

Formerly Advances in Electronics and Electron Physics
Author:
Publisher: Academic Press
Total Pages: 353
Release: 1995-07-11
Genre: Technology & Engineering
ISBN: 0080577598

Academic Press is pleased to announce the creation of Advances in Imaging and Electron Physics. This serial publication results from the merger of two long running serials--Advances in Electronics and Electron Physics and Advances in Optical & Electron Microscopy. Advances in Imaging & Electron Physics will feature 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. Continuation order customers for either of the original Advances will receiveVolume 90, the first combined volume.

Fast Fourier Transform - Algorithms and Applications

Fast Fourier Transform - Algorithms and Applications
Author: K.R. Rao
Publisher: Springer Science & Business Media
Total Pages: 437
Release: 2011-02-21
Genre: Mathematics
ISBN: 1402066295

This book presents an introduction to the principles of the fast Fourier transform. This book covers FFTs, frequency domain filtering, and applications to video and audio signal processing. As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one of essential parts in digital signal processing has been widely used. Thus there is a pressing need from instructors and students for a book dealing with the latest FFT topics. This book provides thorough and detailed explanation of important or up-to-date FFTs. It also has adopted modern approaches like MATLAB examples and projects for better understanding of diverse FFTs.

Introduction to Imaging from Scattered Fields

Introduction to Imaging from Scattered Fields
Author: Michael A Fiddy
Publisher: CRC Press
Total Pages: 242
Release: 2014-11-10
Genre: Science
ISBN: 146656959X

Obtain the Best Estimate of a Strongly Scattering Object from Limited Scattered Field DataIntroduction to Imaging from Scattered Fields presents an overview of the challenging problem of determining information about an object from measurements of the field scattered from that object. It covers widely used approaches to recover information about th