Limits of Resolution

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A01=E. Roy Pike
A01=Geoffrey de Villiers
Aperture Distribution
Author_E. Roy Pike
Author_Geoffrey de Villiers
Averaging Kernel
Banach Spaces
Band Limited Function
Beam Pattern
Borel Sets
Category=PBW
Category=PHJ
Chebyshev System
Coherent Imaging
computational imaging techniques
Conjugate Gradient Method
Discrete Data Problems
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
Finite Dimensional Problems
functional analysis methods
Hilbert Space
ill-posed problem solutions
ill-posedness
Incoherent Imaging
Infinite Dimensional Problems
Inverse Problems
inverse theory
IOP Publishing
linear inverse problems
Main Lobe Width
optical microscopy theory
Optical Transfer Function
Oscillation Properties
Point Spread Function
Prolate Spheroidal Wave Functions
Regularisation Parameter
Singular Function
Singular Function Expansion
sparseness
sparsity
spatial resolution in scientific measurements
spectral analysis applications

Product details

  • ISBN 9781498758116
  • Weight: 1156g
  • Dimensions: 178 x 254mm
  • Publication Date: 01 Sep 2016
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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"This beautiful book can be read as a novel presenting carefully our quest to get more and more information from our observations and measurements. Its authors are particularly good at relating it." --Pierre C. Sabatier

"This is a unique text - a labor of love pulling together for the first time the remarkably large array of mathematical and statistical techniques used for analysis of resolution in many systems of importance today – optical, acoustical, radar, etc…. I believe it will find widespread use and value." --Dr. Robert G.W. Brown, Chief Executive Officer, American Institute of Physics

"The mix of physics and mathematics is a unique feature of this book which can be basic not only for PhD students but also for researchers in the area of computational imaging." --Mario Bertero, Professor, University of Geneva

"a tour-de-force covering aspects of history, mathematical theory and practical applications. The authors provide a penetrating insight into the often confused topic of resolution and in doing offer a unifying approach to the subject that is applicable not only to traditional optical systems but also modern day, computer-based systems such as radar and RF communications." --Prof. Ian Proudler, Loughborough University

"a ‘must have’ for anyone interested in imaging and the spatial resolution of images. This book provides detailed and very readable account of resolution in imaging and organizes the recent history of the subject in excellent fashion.… I strongly recommend it." --Michael A. Fiddy, Professor, University of North Carolina at Charlotte

This book brings together the concept of resolution, which limits what we can determine about our physical world, with the theory of linear inverse problems, emphasizing practical applications. The book focuses on methods for solving illposed problems that do not have unique stable solutions. After introducing basic concepts, the contents address problems with "continuous" data in detail before turning to cases of discrete data sets. As one of the unifying principles of the text, the authors explain how non-uniqueness is a feature of measurement problems in science where precision and resolution is essentially always limited by some kind of noise.

Geoffrey D de Villiers (M Inst P. C.Phys., FIMA, C.Math) is currently an honorary senior research fellow in the School of Electronic, Electrical and Systems Engineering at the University of Birmingham. He is an applied mathematician with over 30 years of experience in signal processing. His specialty is linear inverse problems with particular emphasis on singular-function methods and resolution enhancement. He has worked on a wide variety of practical inverse problems in photon correlation spectroscopy, radar, sonar, communications, seismology, antenna array design, broadband array processing, computational imaging and, currently, gravitational imaging.

E. Roy Pike FRS has been Clerk-Maxwell Professor for Theoretical Physics at King's College London, and head of its School of Physical Sciences and Engineering, and is currently Emeritus Professor of Physics.

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