Partial Differential Equation Methods for Image Inpainting
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- 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.
- Copyright:
- 2015
Book Details
- Book Quality:
- Publisher Quality
- ISBN-13:
- 9781316403716
- Publisher:
- Cambridge University Press
- Date of Addition:
- 11/03/15
- Copyrighted By:
- Carola-Bibiane Schönlieb
- Adult content:
- No
- Language:
- English
- Has Image Descriptions:
- No
- Categories:
- Nonfiction, Computers and Internet, Mathematics and Statistics
- Submitted By:
- Bookshare Staff
- Usage Restrictions:
- This is a copyrighted book.