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When a binary granular image is sieved by a reconstructive τ-opening, some grains are entirely removed while the remaining grains are fully passed. If desired grains are viewed as composing the signal and undesired grains are viewed as noise (or clutter), then the reconstructive τ-opening acts as a filter and a basic task is to find an optimal filter. The present paper proceeds parametrically by...
This paper presents a segmentation method, the flat zone approach, that avoids some limitations of the watershed-plus-markers method. The watershed-plus-markers approach, which is the traditional segmentation technique in mathematical morphology, has two inherent problems: (1) the possible separation of a piecewise-constant region of the input image into several regions in the output partition, and...
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