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First Order Quasi-Linear Pdes with Bv Boundary Data and Applications to Image Inpainting

First Order Quasi-Linear Pdes with Bv Boundary Data and Applications to Image Inpainting

Paperback

General Mathematics

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ISBN10: 3832526390
ISBN13: 9783832526399
Publisher: Logos Verlag Berlin
Published: Dec 10 2010
Pages: 187
Weight: 0.55
Height: 0.48 Width: 5.68 Depth: 8.04
Language: English
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.

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General Mathematics