First Order Quasi-Linear PDEs with BV Boundary Data and Applications to Image Inpainting
By (author) Thomas Marz
Paperback (Published)
(December 2010)
ISBN: 9783832526399
5.75 x 8.31 inches
Price: $68.00
On back order
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
