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Partial Differential Equation Methods for Image Inpainting (Cambridge Monographs on Applied and Computational Mathematics, Series Number 29) - Hardcover
Synopsis
This book is concerned with digital image processing techniques that use partial differential equations (PDE) for the task of image 'inpainting,' an artistic term for virtual image restoration or interpolation, whereby missing or occluded parts in images are completed based on information provided by intact parts. Computer graphic designers, artists and photographers have long used manual inpainting to restore damaged paintings or manipulate photographs. Today, mathematicians apply powerful methods based on PDE to automate this task. This book introduces the mathematical concept of PDE for virtual image restoration. It gives the full picture, from the first modelling steps originating in Gestalt theory and arts restoration to the analysis of resulting PDE models, numerical realisation and real world application. This broad approach also gives insight into functional analysis, variational calculus, optimisation and numerical analysis and will appeal to researchers and graduate students in mathematics with an interest in image processing and mathematical analysis.
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Book Description
This book introduces the mathematical concept of partial differential equations (PDE) for virtual image restoration. It provides insight in mathematical modelling, partial differential equations, functional analysis, variational calculus, optimisation and numerical analysis. It is addressed towards generally informed mathematicians and graduate students in mathematics with an interest in image processing and mathematical analysis.
About the Author
Carola-Bibiane Schönlieb is a Lecturer in Applied and Computational Analysis and Head of the Cambridge Image Analysis group at the Department of Applied Mathematics and Theoretical Physics (DAMTP), University of Cambridge.
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- PublisherCambridge University Press
- Publication date2015
- ISBN 10 1107001005
- ISBN 13 9781107001008
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages250
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Cambridge Monographs on Applied and Computational Mathematics: Partial Differential Equation Methods for Image Inpainting Series Number 29
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Partial Differential Equation Methods for Image Inpainting (Cambridge Monographs on Applied and Computational Mathematics)
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Partial Differential Equation Methods for Image Inpainting (Cambridge Monographs on Applied and Computational Mathematics)
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