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A multiscanning approach based on morphological filtering

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2 Author(s)
M. -H. Chen ; Dept. of Electr. Eng., State Univ. of New York, Stony Brook, NY, USA ; P. -F. Yan

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 (ibid., vol.PAMI-8, Jan. 1986) that the Gaussian filter is the only filter with this property. In addition, opening filtering is computationaly simpler than the Gaussian filter

Published in:

IEEE Transactions on Pattern Analysis and Machine Intelligence  (Volume:11 ,  Issue: 7 )