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

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

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