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

Released on by Thomas März
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  • First Order Quasi-Linear PDEs with BV Boundary Data and Applications to Image Inpainting Book Detail

  • Author : Thomas März
  • Release Date : 2010
  • Publisher : Logos Verlag Berlin GmbH
  • Genre : Mathematics
  • Pages : 194
  • ISBN 13 : 3832526390
  • File Size : 41,41 MB
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First Order Quasi-Linear PDEs with BV Boundary Data and Applications to Image Inpainting by Thomas März PDF Summary

Book Description: 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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