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Mathematical Image Processing: Applied and Numerical Harmonic Analysis

Autor Kristian Bredies, Dirk Lorenz
en Limba Engleză Hardback – 28 feb 2019
This book addresses the mathematical aspects of modern image processing methods, with a special emphasis on the underlying ideas and concepts. It discusses a range of modern mathematical methods used to accomplish basic imaging tasks such as denoising, deblurring, enhancing, edge detection and inpainting. In addition to elementary methods like point operations, linear and morphological methods, and methods based on multiscale representations, the book also covers more recent methods based on partial differential equations and variational methods.

Review of the German Edition: The overwhelming impression of the book is that of a very professional presentation of an appropriately developed and motivated textbook for a course like an introduction to fundamentals and modern theory of mathematical image processing. Additionally, it belongs to the bookcase of any office where someone is doing research/application in image processing. It has the virtues of a good and handy reference manual. (zbMATH, reviewer: Carl H. Rohwer, Stellenbosch)
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Specificații

ISBN-13: 9783030014575
ISBN-10: 3030014576
Pagini: 473
Ilustrații: XIII, 473 p. 129 illus., 22 illus. in color.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.86 kg
Ediția:1st ed. 2018
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Applied and Numerical Harmonic Analysis

Locul publicării:Cham, Switzerland

Cuprins

Introduction.- Mathematical preliminaries.- Basic tools.- Frequency and multiscale methods.- Partial differential equations in image processing.- Variational methods.

Recenzii

“This book is devoted to researches in image processing and can be used for courses of applied mathematics. This book can be treated as a good starting point, since it introduces the reader into the base theory of mathematical image processing and shows the wide spectrum of approaches to typical image processing tasks.” (Agnieszka Lisowska, zbMath 1418.94001, 2019)

Notă biografică

Dirk Lorenz is professor at TU Braunschweig, Institute for Analysis and Algebra. His research areas are: Inverse Problemes and Mathematical Image Processing.

Kristian Bredies is professor at Karl-Franzens-Universität Graz. His research interests include mathematical imaging, variational methods and numerical optimization.



Textul de pe ultima copertă

This book addresses the mathematical aspects of modern image processing methods, with a special emphasis on the underlying ideas and concepts. It discusses a range of modern mathematical methods used to accomplish basic imaging tasks such as denoising, deblurring, enhancing, edge detection and inpainting. In addition to elementary methods like point operations, linear and morphological methods, and methods based on multiscale representations, the book also covers more recent methods based on partial differential equations and variational methods.

Review of the German Edition: The overwhelming impression of the book is that of a very professional presentation of an appropriately developed and motivated textbook for a course like an introduction to fundamentals and modern theory of mathematical image processing. Additionally, it belongs to the bookcase of any office where someone is doing research/application in image processing. It has the virtues of a good and handy reference manual. (zbMATH, reviewer: Carl H. Rohwer, Stellenbosch)

Caracteristici

The book sets out pragmatically and sensibly to introduce to the fast field of mathematical techniques in solving many specific problems in image processing
Covers also more recent methods based on PDE and variational methods
Has the virtues of a good an handy reference manual