23 June 1993 Image cellular complexes, morphological operators, and skeletonization
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Abstract
The most common form for representing digital images is the rectangular matrix where each member of the matrix is a picture element. In a small neighborhood of the image plane, there is a finite number of elements and so a topology of finite sets is needed for digital images. The concepts of digital topology provide for finite sets, but they are not perfect solutions. Problems exist in the connectivity definitions for the object and the background and in the fact that boundaries can be represented by four different sets which are either inner or outer connected and either four or eight connected.
© (1993) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Michael Pyeron, Michael Pyeron, Oleh Tretiak, Oleh Tretiak, } "Image cellular complexes, morphological operators, and skeletonization", Proc. SPIE 2030, Image Algebra and Morphological Image Processing IV, (23 June 1993); doi: 10.1117/12.146666; https://doi.org/10.1117/12.146666
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