Partial Differential Equation Methods for Image Inpainting

ISBN-13: 9781107001008 / Angielski / Twarda / 2015 / 250 str.

Carola-Bibiane Schonlieb; Carola-Bibiane Sch Nlieb; Carola-Bibiane Scheonlieb

Opis

This book introduces the mathematical concept of partial differential equations (PDEs) for virtual image restoration.

Recenzje

'Image inpainting is a new mathematical and technological problem with manifold applications in science and entertainment. In the past twenty years, it has challenged mathematicians and computer scientists alike. They have deployed a treasure of imagination and mathematical skills to solve it. Incorporating striking experiments, reproducible algorithms, and a simple and complete mathematical account, this book is a must-read on the subject.' Jean-Michel Morel, CMLA, Ecole Normale Supérieure de Cachan

Spis treści

1. Introduction; 2. Overview of mathematical inpainting methods; 3. The principle of good continuation; 4. Second-order diffusion equations for inpainting; 5. Higher-order PDE inpainting; 6. Transport inpainting; 7. The Mumford–Shah image for inpainting; 8. Inpainting mechanisms of transport and diffusion; 9. Applications.