Journal
IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
Volume 29, Issue 3, Pages 437-448Publisher
IEEE COMPUTER SOC
DOI: 10.1109/TPAMI.2007.54
Keywords
shape representation; distance transformation; reverse Euclidean distance transformation; medial axis extraction; d-dimensional shapes
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In binary images, the Distance Transformation (DT) and the geometrical skeleton extraction are classic tools for shape analysis. In this paper, we present time optimal algorithms to solve the reverse Euclidean distance transformation and the reversible medial axis extraction problems for d-dimensional images. We also present a d-dimensional medial axis filtering process that allows us to control the quality of the reconstructed shape.
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