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Optimizing 3D chamfer masks with norm constraints

Eric Remy 1 Edouard Thiel 2
1 GMOD-LSIS - GMOD-LSIS
LSIS - Laboratoire des Sciences de l'Information et des Systèmes
Abstract : Chamfer distances are widely used in image analysis. One of their major interest is to approximate the Euclidean distance with integers. Optimizing approximations, in the 3D case, is done in the literature but without worrying if the computed masks actually induce a norm. In that paper, we propose a construction of chamfer masks in 3D, based on Farey triangulations, which gives constraints on the weightings; by scanning the whole space of solutions, we compute for each mask, an exhaustive list of optimal weightings.
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https://hal-amu.archives-ouvertes.fr/hal-01502947
Contributor : Eric Remy <>
Submitted on : Thursday, April 6, 2017 - 1:44:10 PM
Last modification on : Monday, March 30, 2020 - 8:42:34 AM

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  • HAL Id : hal-01502947, version 1

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Eric Remy, Edouard Thiel. Optimizing 3D chamfer masks with norm constraints. International Workshop on Com binatorial Image Analysis, R. Malgouyres, Jul 2000, Caen, France. pp.39 - 56. ⟨hal-01502947⟩

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