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Parallel region property computation by active quadtree networks
T Dubitzki1, A Y Wu, A Rosenfeld
1Computer Vision Laboratory, Computer Science Center, University of Maryland, College Park, MD 20742; ELEX Control Systems, Israel.
Abstract:
Given a binary image stored in a cellular array, a local reconfiguration process can be used to reconnect some of the cells into a quadtree network representing the image. This quadtree can also be ``roped,'' i.e., nodes representing adjacent image blocks of the same size can be joined. Using the roped quadtree network as a parallel (cellular) computer, image properties such as perimeter and genus, as well as the quadtree distance transform, can be computed in O(tree height) = O(log image diameter) time. The area and centroid of the image can be computed in O(height) time without the need for roping.
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