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Limits of Resolution

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"This is a unique text - a labor of love, I suspect - 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. The final two chapters provide the perspective of practical resolution challenges in a multitude of situations, from light scattering and particle sizing to microscopy and tomography. These chapters will be of great value to those concerned with the fundamental limits in these fields…. I believe it will find widespread use and value."
– Dr. Robert G.W. Brown, Chief Executive Officer, American Institute of Physics

"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

"This is a book on the ultimate limits of resolution in imaging when digital image processing is considered. Therefore it is also a book on linear inverse problems, a basic tool in computational imaging. It provides a thorough account of this topic showing that solving an inverse problem is a mathematical game which requires a deep understanding of its physical foundations. 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

"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

"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 this well written and highly informative book and thank the authors, both experts in this field, for the work they put into it."
– Michael A. Fiddy, Professor, University of North Carolina at Charlotte

"This unique book provides all the necessary background in physics and instrumentation as well as on the mathematical aspects of inverse problems."
– Prof. Christine de Mol, Universite Libre de Bruxelles

"With much attention directed towards achieving super-resolution in a number of research areas at present, this book proves that the fundamental concept of resolution — a prerequisite for understanding the challenges of super-resolution — offers a rich topic of scientific discussion…. As inversion methods play a central role in the extraction of details from raw data and in the subsequent (and undesired) noise amplification, the text provides an in-depth presentation of linear inverse problems."
–Nature Photonics (Sep 2016)

»

"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. Les mer

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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 con

Detaljer

Forlag
CRC Press
Innbinding
Paperback
Språk
Engelsk
Sider
568
ISBN
9780367876869
Utgivelsesår
2019
Format
25 x 18 cm

Anmeldelser

«

"This is a unique text - a labor of love, I suspect - 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. The final two chapters provide the perspective of practical resolution challenges in a multitude of situations, from light scattering and particle sizing to microscopy and tomography. These chapters will be of great value to those concerned with the fundamental limits in these fields…. I believe it will find widespread use and value."
– Dr. Robert G.W. Brown, Chief Executive Officer, American Institute of Physics

"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

"This is a book on the ultimate limits of resolution in imaging when digital image processing is considered. Therefore it is also a book on linear inverse problems, a basic tool in computational imaging. It provides a thorough account of this topic showing that solving an inverse problem is a mathematical game which requires a deep understanding of its physical foundations. 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

"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

"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 this well written and highly informative book and thank the authors, both experts in this field, for the work they put into it."
– Michael A. Fiddy, Professor, University of North Carolina at Charlotte

"This unique book provides all the necessary background in physics and instrumentation as well as on the mathematical aspects of inverse problems."
– Prof. Christine de Mol, Universite Libre de Bruxelles

"With much attention directed towards achieving super-resolution in a number of research areas at present, this book proves that the fundamental concept of resolution — a prerequisite for understanding the challenges of super-resolution — offers a rich topic of scientific discussion…. As inversion methods play a central role in the extraction of details from raw data and in the subsequent (and undesired) noise amplification, the text provides an in-depth presentation of linear inverse problems."
–Nature Photonics (Sep 2016)

»

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