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The Hit or Miss Transformation Erosion and Opening
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algorithm analysis associated ball belong boundary centred Chapter closed set compact convex sets compact set connected components connectivity number consider convex hull convex ring covariance Crofton's formula curvature defined definition denote density digitalizable dilation dimension direction disk distribution edges equivalent eroded erosion estimate Euclidean example Figure finite given global graph grid hexagonal Hit or Miss homotopy integral integral geometry intercepts intersection isotropic lattice Lebesgue measure linear mapping mask mathematical morphology Matheron measure Minkowski functionals Minkowski sum Miss transformations morphological neighbourhood notion open sets parameters particles perimeter planar graph plane Poisson pores primary grain probability properties radius random closed set random function random set relation resp respect rotation satisfy segment semi-continuous sequence skeleton space square Steiner Steiner's formula stereological structuring element Theorem thinning topology translation umbra union variogram vector vertices