By T.Y. Kong, A. Rosenfeld
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Additional info for Topological Algorithms for Digital Image Processing
Similarly, we regard any 3-d binary image array in which 6-, 18or 26-adjacency is used on the I's as such a graph. In this case we tak^ Ri to be the set of I's in the ith. layer of the image array. It follows from Theorem 1 below that the following two passes will produce a labeling of the nodes of G such that two nodes have the same label if and only if they belong to the same component of G. Pass 1 Let RQ = ^ and let £0 be the empty labeling. ,_i in G, such that every label used by ii is either a label used by ^,_i or a new label that is not used by any £j, j < i.
Thus connected components and their analysis are of very wide interest to the computer vision community. 26 REFERENCES 1 G. Agin, "Computer Vision System for Industrial Inspection and Assembly," IEEE Transactions on Computers, Vol. 14, 1980, pp. 11-20. -E. L. Tanimoto, "Time Complexity for Serial and Parallel Propagation in Images", in Architecture and Algorithms for Digital Image Processing, A. -E. ). Proceedings of the SPIE, Vol. 435, 1983, pp. 60-67. 3 E. Horowitz and S. Sahni, Fundamentals of Data Structures, Computer Science Press, Rockville, MD, 1982.
Parallel application of local operators can be implemented particularly effectively on sufficiently large parallel mesh computers [11, 12, 14, 33, 39, 47]. 3. Image Transformations. Image Algorithms. Single-Operator, Sequential, Parallel and Completely Parallel Image Algorithms. An image transformation is a function which maps images to images. The identity image transformation maps every image to itself. We use the term proper image transformation to mean an image transformation that is not the identity.
Topological Algorithms for Digital Image Processing by T.Y. Kong, A. Rosenfeld