Montiel, M.E., Aguado, A.S., Garza, M. and Alarc, J.
Image Manipulation using M-filters in a pyramidal computer model.
IEEE Transactions on Pattern Analysis and Machine Intelligence, 17, (11), .
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This paper presents how morphological transformations can be related to representations of a set on different lattices. A hierarchical definition of structuring element conveys to a class of multigrid transformations that handle changes on discrete representation of regions. The transformations correspond to upward and downward processes in a hierarchical structure. Based on multigrid transformations, a method to delineate not-perfectly-isolated objects in an nxn image requiring O(log n) time is presented. The approach considers grey level regions as sets and processes through a pyramid to carry out geometric manipulations. Extending the concept of boundary to cope with hierarchical representations of a set. A second method which identifies the boundaries in an image is discussed.
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