Connectivity preserving voxel transformation

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Abstract

A three dimensional digital binary image is B 26 connected if its set of black voxels is 26-connected, i.e. for all black voxels there exists at least one black voxel among its 26 neighbors. We show that any two such images I and J of c 1 and c 2 number of connected components respectively and n voxels each, can be transformed into one another maintaining the B 26 connectivity of the black voxels by interchanges. © 2008 Springer-Verlag Berlin Heidelberg.

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Komuravelli, A., Sinha, A., & Bishnu, A. (2008). Connectivity preserving voxel transformation. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4958 LNCS, pp. 1–12). Springer Verlag. https://doi.org/10.1007/978-3-540-78275-9_1

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