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Optimal Separable Algorithms to Compute the Reverse Euclidean Distance Transformation and Discrete Medial Axis in Arbitrary Dimension

David Coeurjolly 1 Annick Montanvert 2 
1 M2DisCo - Geometry Processing and Constrained Optimization
LIRIS - Laboratoire d'InfoRmatique en Image et Systèmes d'information
2 GIPSA-GPIG - GIPSA - Géométrie, Perception, Images, Geste
GIPSA-DIS - Département Images et Signal
Abstract : 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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https://hal.archives-ouvertes.fr/hal-00148621
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Submitted on : Wednesday, May 23, 2007 - 8:13:36 AM
Last modification on : Friday, September 30, 2022 - 11:34:15 AM
Long-term archiving on: : Thursday, April 8, 2010 - 5:30:22 PM

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David Coeurjolly, Annick Montanvert. Optimal Separable Algorithms to Compute the Reverse Euclidean Distance Transformation and Discrete Medial Axis in Arbitrary Dimension. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2007, 29 (3), pp.437-448. ⟨10.1109/TPAMI.2007.54⟩. ⟨hal-00148621⟩

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