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Modellierung - Simulation - Optimierung


Combining Image Reconstruction and Evaluation

The tasks of image reconstruction from measured data and the analysis of the so produced images are more or less strictly separated. One group computes by applying reconstruction algorithms the images, the other starts out of that by operating on these images to enhance the analysis. First attempts, in a non - systematic way, are known, as Lambda tomography or Tikhonov - Phillips methods with L1 - norms or with level - set methods.
We provide a general tool to combine these two steps; i.e., already in the reconstruction step the future image analysis step is taken into account leading to a new reconstruction kernel.
We calculate a new reconstruction kernel.

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Combining Image Reconstruction and Image Analysis with an Application to 2D - Tomography
SIAM Journal on Images Sciences, Vol. 1, pp.188-208, 2008

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Reonstruction of absolute value of the derivatives from noisy data