Partial Differential Equation Methods for Image Inpainting - Couverture rigide

Schönlieb, Carola-Bibiane

Couverture rigide

ISBN 10 : 1107001005 ISBN 13 : 9781107001008

Editeur : Cambridge University Press, 2015

Synopsis

This book is concerned with digital image processing techniques that use partial differential equations (PDEs) 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 PDEs to automate this task. This book introduces the mathematical concept of PDEs 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.

A propos du livre

À propos de l'auteur

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.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 2015
• Langue: anglais
• ISBN 10: 1107001005
• ISBN 13: 9781107001008
• Reliure: Relié
• Nombre de pages: 250
• Coordonnées du fabricant: Cambridge University Press; https://www.cambridge.org/; ; Via Honduras,15; Pomezia; Italia; 71; Italie