First Order Quasi-Linear PDEs with BV Boundary Data and Applications to Image Inpainting

By (author) Thomas Marz

Book cover: First Order Quasi-Linear PDEs with BV Boundary Data and Applications to Image Inpainting

Extent: 187 pages

Publisher: Logos Verlag Berlin

Subjects: Technical Sciences: Computer Science, Engineering, IT, & Math

Language: English

Paperback (Published)

(December 2010)

ISBN: 9783832526399

5.71 x 8.27 inches

Price: $68.00

Out of stock

This book investigates the well-posedness of the mathematical model behind the method “Image Inpainting Based on Coherence Transport”. Image inpainting methods serve the purpose of touching up damaged or unwanted elements of a digital picture. The model behind the mentioned method is a Dirichlet problem for a first order quasi-linear hyperbolic functional partial differential equation where all points of the boundary are inflow points. The main concern of this thesis is to proof the existence and the uniqueness of a solution to such kind of problems as well as the solutions’s continuous dependence on the data. The general theory finally is used to obtain the well-posedness of the inpainting model.

  • By (author) Thomas Marz