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Detection of 3-D simple points for topology preserving transformations with application to thinning

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2 Author(s)
P. K. Saha ; Electron. & Commun. Sci. Unit, Indian Stat. Inst., Calcutta, India ; B. B. Chaudhuri

The problems of 3-D digital topology preservation under binary transformations and 3-D object thinning are considered in this correspondence. First, the authors establish the conditions under which transformation of an object voxel to a non-object voxel, or its inverse does not affect the image topology. An efficient algorithm to detect a simple point has been proposed on the basis of those conditions. In this connection, some other interesting properties of 3-D digital geometry are also discussed. Using these properties and the simple point detection algorithm, the authors have proposed an algorithm to generate a surface-skeleton so that the topology of the original image is preserved, the shape of the image is maintained as much as possible, and the results are less affected by noise

Published in:

IEEE Transactions on Pattern Analysis and Machine Intelligence  (Volume:16 ,  Issue: 10 )