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Titlebook: Mathematical Morphology and Its Applications to Signal and Image Processing; 14th International S Bernhard Burgeth,Andreas Kleefeld,Benjami

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Topological Mapper for 3D Volumetric Imageser can be constructed for any connected space and algorithms have been developed to compute mapper for point clouds and 2D images. In this paper, we extend mapper to 3D volumetric images. We use our algorithm to compute mapper for scans of barley generated using computed tomography. We demonstrate t
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On the Probabilities of Hierarchical Watershedsegion contains exactly one (local) minimum of the original image. Therefore, the construction of a hierarchical watershed of any image?. can be guided by a total order?. on the set of minima of?.. The regions that contain the least minima according to the order?. are the first regions to be merged i
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Incremental Attribute Computation in Component-Hypertreesirable properties of component trees but also store nodes from multiple scales, at the cost of increasing time and memory consumption for building, storing and processing the structure. In recent years, algorithmic advances resulted in optimization for both building and storing hypertrees. In this p
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Matrix Morphology with Extremum Principlee setting to work with fields of symmetric matrices, and also corresponding methods based on partial differential equations have been constructed. However, the existing methods for dilation and erosion in the matrix-valued setting are not overall satisfying. By construction they may violate a discre
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