IEEE Trans Image Process - Topology preserving thinning of cell complexes.

Tópicos

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Resumo

A topology preserving skeleton is a synthetic representation of an object that retains its topology and many of its significant morphological properties. The process of obtaining the skeleton, referred to as skeletonization or thinning, is a very active research area. It plays a central role in reducing the amount of information to be processed during image analysis and visualization, computer-aided diagnosis, or by pattern recognition algorithms. This paper introduces a novel topology preserving thinning algorithm, which removes simple cells-a generalization of simple points-of a given cell complex. The test for simple cells is based on acyclicity tables automatically produced in advance with homology computations. Using acyclicity tables render the implementation of thinning algorithms straightforward. Moreover, the fact that tables are automatically filled for all possible configurations allows to rigorously prove the generality of the algorithm and to obtain fool-proof implementations. The novel approach enables, for the first time, according to our knowledge, to thin a general unstructured simplicial complex. Acyclicity tables for cubical and simplicial complexes and an open source implementation of the thinning algorithm are provided as an additional material to allow their immediate use in the vast number of applications arising in medical imaging and beyond.

Resumo Limpo

topolog preserv skeleton synthet represent object retain topolog mani signific morpholog properti process obtain skeleton refer skeleton thin activ research area play central role reduc amount inform process imag analysi visual computeraid diagnosi pattern recognit algorithm paper introduc novel topolog preserv thin algorithm remov simpl cellsa general simpl pointsof given cell complex test simpl cell base acycl tabl automat produc advanc homolog comput use acycl tabl render implement thin algorithm straightforward moreov fact tabl automat fill possibl configur allow rigor prove general algorithm obtain foolproof implement novel approach enabl first time accord knowledg thin general unstructur simplici complex acycl tabl cubic simplici complex open sourc implement thin algorithm provid addit materi allow immedi use vast number applic aris medic imag beyond

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