Fredrik Andersson, Marcus Carlsson, Viktor V. Nikitin
The Radon transform and its adjoint, the back-projection operator, can both be expressed as convolutions in log-polar coordinates. Hence, fast algorithms for the application of the operators can be constructed by using FFT, if data is resampled at log-polar coordinates. Radon data is typically measured on an equally spaced grid in polar coordinates, and reconstructions […]
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Marton Jozsef Toth, Balazs Csebfalvi
In this paper, we extend 1D distribution interpolation to 2D and 3D by using the Radon transform. Our algorithm is fundamentally different from previous shape transformation techniques, since it considers the objects to be interpolated as density distributions rather than level sets of Implicit Functions (IF). First, we perform distribution interpolation on the precalculated Radon […]
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Michael Krause, Ralph Maria Alles, Bernhard Burgeth, Joachim Weickert
Due to the increasing availability of so called "Non-Mydriatic" cameras, digital imaging has become a very important part of the ophthalmologist’s work. This has created large databases of retinal images. It would be desirable to have a fast image processing tool that allows to analyse such databases in a short time, and to process the […]
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F. R. N. C. Maia, A. MacDowell, S. Marchesini, H. A. Padmore, D. Y. Parkinson, J. Pien, A. Schirotzek, C. Yang
When x-rays penetrate soft matter, their phase changes more rapidly than their amplitude. Interference effects visible with high brightness sources creates higher contrast, edge enhanced images. When the object is piecewise smooth (made of big blocks of a few components), such higher contrast datasets have a sparse solution. We apply basis pursuit solvers to improve […]
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