Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Improving the accuracy of isotropic granulometries
Pattern Recognition Letters
Convergence, continuity, and iteration in mathematical morphology
Journal of Visual Communication and Image Representation
On the Compatibility of Granulometry with Wavelet Analysis
Journal of Mathematical Imaging and Vision
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One of the most fundamental operators of mathematical morphology, the granulometry operator 驴 t assigning to a compact set (or to a grayscale function) its granulometric opening by a convex set, is generally considered to be upper semicontinuous but not continuous. We consider this a deficiency and intend to rectify it, mainly by an adjustment of convergence assumptions.