A Pyramid-Based Approach to Segmentation Applied to Region Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Introduction to mathematical morphology
Computer Vision, Graphics, and Image Processing
Computer Vision, Graphics, and Image Processing
Automatic screening of cytological specimens
Computer Vision, Graphics, and Image Processing
Morphological structuring element decomposition
Computer Vision, Graphics, and Image Processing
Multiresolution object detection and delineation
Computer Vision, Graphics, and Image Processing
Frequency Domain Analysis and Synthesis of Image Pyramid Generating Kernels
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Analysis Using Mathematical Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Representation Theory for Morphological Image and Signal Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Multiscanning Approach Based on Morphological Filtering
IEEE Transactions on Pattern Analysis and Machine Intelligence
A hierarchical morphological image decomposition
Pattern Recognition Letters
The algebraic basis of mathematical morphology. I. dilations and erosions
Computer Vision, Graphics, and Image Processing
Why mathematical morphology needs complete lattices
Signal Processing
Theoretical Aspects of Gray-Level Morphology
IEEE Transactions on Pattern Analysis and Machine Intelligence
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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 驴k that handle changes on discrete representations 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.