Set-Theoretical Algebraic Approaches to Connectivityin Continuous or Digital Spaces
Journal of Mathematical Imaging and Vision
Connectivity on Complete Lattices
Journal of Mathematical Imaging and Vision
Connected morphological operators for binary images
Computer Vision and Image Understanding
Connections for sets and functions
Fundamenta Informaticae - Special issue on mathematical morphology
Shape Connectivity: Multiscale Analysis and Application to Generalized Granulometries
Journal of Mathematical Imaging and Vision
A multiscale approach to connectivity
Computer Vision and Image Understanding
Multiscale Connected Operators
Journal of Mathematical Imaging and Vision
Geodesy and connectivity in lattices
Fundamenta Informaticae
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Microstructure in graphite nodules plays a fundamental role in mechanical properties in cast iron. Traditional measures used to study spheroid graphite are nodules density, nodularity, volume fraction and mean size. However, sometimes these parameters do not permit a good characterization of the microstructure since they do not allow the discrimination of different regions. In fact, other measures such as size and spatial distributions enable a better understanding of mechanical properties that can be obtained either by altering certain processing variables or through various heat treatments. In the present paper a method to characterize graphite nodules microstructure based on the connectivity generated by dilations is introduced. This approach, which takes into account size and spatial distributions of graphite, permits to relate the microstructure of graphite nodules with the wear behavior.