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Communication Dans Un Congrès Année : 2004

Systematized calculation of optimal coefficients of 3-D chamfer norms

Céline Fouard
Grégoire Malandain

Résumé

Chamfer distances are widely used in image analysis, and many ways have been investigated to compute optimal chamfer mask coefficients. Unfortunately, these methods are not systematized: they have to be conducted manually for every mask size or image anisotropy. Since image acquisition (e.g. medical imaging) can lead to anisotropic discrete grids with unpredictable anisotropy value, automated calculation of chamfer mask coefficients becomes mandatory for efficient distance map computation. This article presents a systematized calculation of these coefficients based on the automatic construction of chamfer masks of any size associated with a triangulation that allows to derive analytically the relative error with respect to the Euclidean distance, in any 3-D anisotropic lattice.
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Dates et versions

hal-00308962 , version 1 (05-08-2008)

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Céline Fouard, Grégoire Malandain. Systematized calculation of optimal coefficients of 3-D chamfer norms. Discrete Geometry for Computer Imagery, 2003, Napoli, Italy. pp.214--223, ⟨10.1007/b94107⟩. ⟨hal-00308962⟩
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