Skip to Main content Skip to Navigation
Journal articles

Discrete 2D and 3D Euclidean medial axis in higher resolution

Abstract : The notion of skeleton plays a major role in shape analysis. Some usually desirable characteristics of a skeleton are: centered, thin, homotopic, and sufficient for the reconstruction of the original object. The Euclidean medial axis presents all these characteristics in a continuous framework. In the discrete case, the exact Euclidean medial axis (MA) is also sufficient for reconstruction and centered. It no longer preserves homotopy but it can be combined with a homotopic thinning to generate homotopic skeletons. The thinness of the MA, however, may be discussed. In this paper, we present the definition of the exact Euclidean medial axis in higher resolution, which has the same properties as the MA but with a better thinness characteristic, against the price of rising resolution. We provide and prove an efficient algorithm to compute it.
Document type :
Journal articles
Complete list of metadatas

https://hal-upec-upem.archives-ouvertes.fr/hal-00622391
Contributor : Michel Couprie <>
Submitted on : Monday, September 12, 2011 - 2:11:04 PM
Last modification on : Wednesday, February 26, 2020 - 7:06:05 PM

Identifiers

Citation

André Vital Saúde, Michel Couprie, Roberto de Alencar Lotufo. Discrete 2D and 3D Euclidean medial axis in higher resolution. Image and Vision Computing, Elsevier, 2009, 27 (1), pp.354-363. ⟨10.1016/j.imavis.2008.05.007⟩. ⟨hal-00622391⟩

Share

Metrics

Record views

265