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Titlebook: Deep Structure, Singularities, and Computer Vision; First International Ole Fogh Olsen,Luc Florack,Arjan Kuijper Conference proceedings 20

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https://doi.org/10.1057/9780230233621to the processing of structure tensor images and show that it could help to extract low-level features thanks to the affine-invariance of our metric. However, the same affine-invariance causes the whole framework to be noise sensitive and we believe that the choice of a more adapted metric could significantly improve the robustness of the result.
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Histogram Statistics of Local Model-Relative Image Regionstudy on CT images of the human bladder, prostate, and rectum. Results show improvement over a previous profile based appearance model, out-performance of statistically modeled histograms over simple histogram measurements, and advantages of regional histograms at a fixed local scale over a fixed global scale.
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Essential Loops and Their Relevance for Skeletons and Symmetry Setsins information of the complete shape. The string is augmented with information about the special points along the (pre-) Symmetry Set that it resembles. Changes in this simple line structure are directly related to so-called transitions (topological changes) of the . and the Pre- .. It also carries information about the skeleton, or Medial Axis.
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Computing 3D Symmetry Sets; A Case Studyon of the 2D case, the visualization, numerical computations and their stability are much more complicated. An example is given by means of an ellipsoid. In this example the Symmetry Set can be computed exactly and results can be compared to the ground truth.
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