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Well-Composedness and the Topological Repairing of 2-D and 3-D Digital Images
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In an earlier submission, we considered 2-D and 3-D digital binary images topologically characterized by their well-composedness. Well-composed images exhibit important topological and geometrical properties not shared by their ill-composed counterparts. [...]

Well-Composed Image Filters for Repairing 2-D and 3-D Binary Images
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We consider 2-D and 3-D digital binary images characterized by their well-composedness. Well-composed images exhibit important topological and geometrical properties not shared by their ill-composed counterparts. These properties have important [...]

Escher's Ants as Metaphor:   Topological Marching for the Well-Composed, Genus Zero Crowd
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Topological considerations for segmentation results are important for such applications as proper brain segmentation from digital image data. We present an enhancement of the FastMarchingImageFilter which allows for topologically constrained evolution of the [...]

N-D Linear Time Exact Signed Euclidean Distance Transform
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Fast computation of distance transforms find direct application in various computer vision problems. Currently there exists two image filters in the ITK library which can be used to generate distance maps. Unfortunately, these filters produce only [...]


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