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

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摘要

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.

论文关键词:Medial axis,Skeleton,Euclidean distance

论文评审过程:Received 21 January 2007, Revised 27 November 2007, Accepted 7 May 2008, Available online 20 May 2008.

论文官网地址:https://doi.org/10.1016/j.imavis.2008.05.007