The Art of Inpainting
Mathematical Methods for the Virtual Restoration of Illuminated Manuscripts

Explains, reviews and compares different inpainting imaging restoration methods in the challenging scenario of damaged medieval manuscripts.

Simone Parisotto (Author), Patricia Vitoria (Author), Coloma Ballester (Author), Aurélie Bugeau (Author), Suzanne Reynolds (Author), Carola-Bibiane Schönlieb (Author)

9781009585941, Cambridge University Press

Hardback, published 22 May 2025

218 pages
26.3 x 18.4 x 1.6 cm, 0.64 kg

'I've thoroughly enjoyed this outstanding book, which is destined to be the definitive source on inpainting but is also much more than that: it's a celebration of the creativity and beauty that are so often present in applied mathematics, and a reminder of the importance of human thought in art, science and their interplay.' Marcelo Bertalmío, Spanish National Research Council

The art of image restoration and completion has entered a new phase thanks to digital technology. Indeed, virtual restoration is sometimes the only feasible option available to us, and it has, under the name 'inpainting', grown, from methods developed in the mathematics and computer vision communities, to the creation of tools used routinely by conservators and historians working in the worlds of fine art and cinema. The aim of this book is to provide, for a broad audience, a thorough description of imaging inpainting techniques. The book has a two-layer structure. In one layer, there is a general and more conceptual description of inpainting; in the other, there are boxed descriptions of the essentials of the mathematical and computational details. The idea is that readers can easily skip those boxes without disrupting the narrative. Examples of how the tools can be used are drawn from the Fitzwilliam Museum, Cambridge collections.

1. Introduction
2. Local inpainting methods
3. Non-local inpainting methods
4. Deep learning inpainting methods
5. Methods inspired from cultural heritage
6. Conclusions
Appendix. Manuscripts in focus
Bibliography
Index.

Subject Areas: Numerical analysis [PBKS]