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On the Recognition of Properties of Three-Dimensional Pictures

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2 Author(s)
Akira Nakamura ; Computer Science Center, University of Maryland, College Park, MD 20742; Department of Applied Mathematics, Hiroshima University, Higashi-Hiroshima, 724 Japan. ; Kunio Aizawa

This correspondence proposes one-pass algorithms that compute the numbers of objects, cavities, and holes in three-dimensional (3-D) digital pictures. Also, it is shown that a one-way, 3-D parallel/sequential acceptor cannot accept the class of 3-D binary arrays in which the set of 1's is connected, unlike the situation in the two-dimensional (2-D) case; but it can do so if multipasses are allowed.

Published in:

IEEE Transactions on Pattern Analysis and Machine Intelligence  (Volume:PAMI-7 ,  Issue: 6 )