Partial Differential Equation Methods for Image Inpainting (Cambridge Monographs on Applied and Computational Mathematics, Series Number 29) - Hardcover

Schönlieb, Carola-Bibiane

Hardcover

ISBN 10: 1107001005 ISBN 13: 9781107001008

Publisher: Cambridge University Press, 2015

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.

About this title

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.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2015
• Language: English
• ISBN 10: 1107001005
• ISBN 13: 9781107001008
• Binding: Hardcover
• Edition number: 1
• Number of pages: 250