Fachbereich Mathematik 
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Computational methods for imaging (Winter term 2019)

This seminar will cover different topics for mathematical imaging depending on the prior knowlegde of the participants. Possible topics are for example different inverse problems in imaging applications and variational regularization methods leading to optimization problems.

The semiar will be a block seminar. The concrete dates of the seminar will be discussed together with the participants in a first meeting in October.

Possible topics are:

  • Compression of images via wavelet transform
  • Sparse regularization for image deconvolution
  • Total variation based denoising of images
  • Compuational methods for image inpaiting
  • Partial differential equations in image processing
  • Primal dual splitting for total variation beased image reconstruction
  • Electrical impedance tompgraphy - a prototypical nonlinear problem
  • Image reconstrction of Magentic resononce tomography


Literature:

    Bredies & Lorenz, Mathematical image processing
    Aubert & Kornprobst, Mathematical problems in image processing
    Engl, Hanke, Neubauer, Regularization of inverse problems


 
  Seitenanfang  Impress 2019-08-30, Christina Brandt