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6 October 1998Morphological measurement of surface roughness
Morphological granulometric moments have proven useful for quantification and classification of image texture. This paper considers their use as measures of surface roughness. The analysis is based on simulations in the framework of a modified Boolean random function model for surfaces. Four granulometric features are considered: the pattern-spectrum mean and pattern-spectrum variance for both opening and closing granulometries generated by flat structuring elements. The expectations of these granulometric moments are compared with the expectations of the classical average and root-mean-square roughness across a range of Boolean models.
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Yoganand Balagurunathan, Edward R. Dougherty, "Morphological measurement of surface roughness," Proc. SPIE 3521, Machine Vision Systems for Inspection and Metrology VII, (6 October 1998); https://doi.org/10.1117/12.326949