형상학적 변환기를 사용한 에지 검출 = Edge Detection with Morphological Wavelet Transform

다국어 초록 (Multilingual Abstract)

Using adaptive structuring functions, we develop a morphological interpolation that allows a signal representation similar to the given by the wavelet band of filters. With morphological operators the interpolation problem is reduced to solving non linear equations iteratively to get an approximate expansion of a sampled signal in terms of the structuring functions. We obtain a pyramid like structure to decompose the signal into smoothed and detail components at different scales, just as in the wavelet representation. The use of non linear filters in our algorithm reduced the computational complexity associated with the decomposition and synthesis. Our representation is valid for one and two dimensioanl signal. In the two dimensional case we consider the non unique ordering of the structuring functions and the variety of possible sampling, decimation and interpolation procedures. We illustrate our two dimensional representation by means of edge detection examples.