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Erschienen in:
2021 | OriginalPaper | Buchkapitel
Quantitative Analysis of Random Structures
verfasst von : Prof. Dominique Jeulin
Erschienen in: Morphological Models of Random Structures
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The measurements used to analyze the morphology of random media, experimentally available from image analysis, are introduced: measurements are obtained in a two-steps approach: transformation and basic measurement; their prototypes are the basic operations of mathematical morphology (erosion and dilation) by appropriate structuring elements, coupled with the Minkowski functionals. They are used to define various criteria for characterizing the sizes, the spatial distribution and the connectivity of objects like sets, functions or graphs. Tools introduced in this chapter can be used for pattern and texture recognition by means of machine learning algorithms, as illustrated by some examples.