Pattern Spectrum and Multiscale Shape Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Morphological Shape Decomposition
IEEE Transactions on Pattern Analysis and Machine Intelligence
Methods for fast morphological image transforms using bitmapped binary images
CVGIP: Graphical Models and Image Processing
Morphological reduction of skeleton redundancy
Signal Processing - Special issue on mathematical morphology and its applications to signal processing
Boundary-Constrained Morphological Skeleton Minimization and Skeleton Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Efficient morphological shape representation
IEEE Transactions on Image Processing
Morphological Reversible Contour Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Morphological multiscale decomposition of connected regions with emphasis on cell clusters
Computer Vision and Image Understanding
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The morphological skeleton and morphological shape decomposition (MSD) are two popular approaches for morphological shape representation. Each method represents an object as an algebraic combination of a number of components, where each component is given by a locus of points dilated by a specified structuring-element homothetic. This correspondence develops a theoretical comparison between the two methods. Combining the theoretical results with several representation cost measures, we make a concrete comparison of the efficiency of the two methods. The results indicate that for complex objects驴i.e., objects requiring a full range of homothetic sizes in the morphological skeleton representation驴the MSD represents objects more efficiently than the morphological skeleton for three of four suggested cost measures.