Skip to main content Accessibility help
  • Print publication year: 2015
  • Online publication date: November 2015



The purpose of this book is to provide an introduction to the use of partial differential equations (PDEs) for digital image restoration. It is a way of sharing what I have learned while studying these methods for about ten years, defending a Ph.D. thesis on PDE inpainting, teaching courses in Göttingen and Cambridge on the topic and writing a couple of research papers on the use of PDEs in image inpainting along the way. Let me say what this book is and what it is not. It is:

An introduction to inpainting methods that use PDEs and local variational approaches to restore lost image contents;

An account from an enthusiast on some state-of-the-art inpainting methods from their abilities to their limitations and reference for informed researchers in the field of digital image processing; and

A work targeted at readers with basic knowledge in functional analysis, PDEs, measure theory and convex optimisation. Therefore, I recommend this textbook only for students from the graduate level onwards.

This book is not:

A book that gives credit to the whole wealth of inpainting methods (in particular, this book will focus only on local inpainting methods and will scratch only non-local inpainting methods such as exemplar-based inpainting); or

A book for undergraduate students.

One final comment before we go in medias res: the more I learn and understand about image inpainting, the more the complexity of the matter and the variety of different problems, each requiring specialised methods, become apparent.

Recommend this book

Email your librarian or administrator to recommend adding this book to your organisation's collection.

Partial Differential Equation Methods for Image Inpainting
  • Online ISBN: 9780511734304
  • Book DOI:
Please enter your name
Please enter a valid email address
Who would you like to send this to *