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

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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Journal articles

Cited literature [45 references]

https://hal.archives-ouvertes.fr/hal-00148621
Contributor : David Coeurjolly Connect in order to contact the contributor
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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Coeurjolly-2007_liris2441.pdf
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### Citation

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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