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Noise Removal and Feature Extraction Based on Multiscale Morphological Filtering 1

In this paper, a novel multiscale morphological operation is offered, which is a combination of multiscale dilation and erosion, or an extension of morphological opening. With respect to extreme features, this morphological operation has two remarkable property. One is monotone property if one feature shows up in a scale space, it will reserve in all smaller scale space. Based on this property, a "coarse to fine" strategy is used to extract the extreme features. The other is monotone rate property the decreasing rate of the number of features becomes almost less with scale increasing. This property offers a basis for the maximal filtering scale selection. At last the application on real data demonstrates its effectiveness.