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Mathematical Image Processing

Kristian Bredies, Dirk Lorenz (Autoren)

Buch | Hardcover

XIII, 473 Seiten

2019 | 1st ed. 2018
Springer International Publishing (Verlag)
978-3-030-01457-5 (ISBN)

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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)

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.

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

"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)

“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)

Erscheinungsdatum	07.02.2019
Reihe/Serie	Applied and Numerical Harmonic Analysis
Zusatzinfo	XIII, 473 p. 129 illus., 22 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	889 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Themenwelt	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	fourier analysis • Image • Image Processing • Interpolation • smoothing and sharpening methods
ISBN-10	3-030-01457-6 / 3030014576
ISBN-13	978-3-030-01457-5 / 9783030014575
Zustand	Neuware