Boundary Detection in Multidimensions

Authors:
Jayaram K. Udupa;Sargur N. Srihari;Gabor T. Herman
Affiliations:
Medical Image Processing Group, Department of Computer Science, State University of New York at Buffalo, Amherst, NY 14226/ Medical Image Processing Group, Department of Radiology,;MEMBER, IEEE, Department of Computer Science, State University of New York at Buffalo, Amherst, NY 14226.;MEMBER, IEEE, Medical Image Processing Group, Department of Computer Science, State University of New York at Buffalo, Amherst, NY 14226/ Medical Image Processing Group, Department
Venue:
IEEE Transactions on Pattern Analysis and Machine Intelligence
Year:
1982

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Abstract

The development of image processing algorithms for time-varying imagery and computerized tomography data calls for generalization of the concepts of adjacency, connectivity, boundary, etc., to three and four-dimensional discrete spaces. This paper defines these basic concepts in unified terminology and presents algorithms for a boundary detection task in multidimensional space. The performance of these algorithms is discussed with respect to theoretical maximum complexity, and is illustrated with simulated computerized tomography data.