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<p>It is argued that the mathematical morphology method seems to be more reasonable and powerful in studying certain multiscaling vision problems than the approach that uses derivatives of Gaussian-shaped filters of different sizes. To show the validity of this method, the authors concentrated on an application that involves forming scale-space image of a 2-D shape using morphological opening filtering. A proof is given to show that morphological opening filtering has a property of not introducing additional zero-crossings as one moves to a coarser scale. This is a different result from the conclusion by A.L. Yuille and T.A. Poggio that the Gaussian filter is the only filter with this property. In addition, opening filtering is computationaly simpler than the Gaussian filter.</p>
picture processing; image analysis; morphological filtering; multiscaling vision; scale-space image; 2-D shape; opening filtering; filtering and prediction theory; picture processing

P. Yan and M. Chen, "A Multiscanning Approach Based on Morphological Filtering," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 11, no. , pp. 694-700, 1989.
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