Can anyone please specify what is meant by multiscale morphological filtering ? I understand the basic concepts of dilation and erosion. But in multiscale filtering, a scaled structuring function is being used. What does the term scaled mean ?
Please find more relevant information here : Please check link. I want to apply this structuring element in matlab coding but cannot do so. Please can anyone help me ?
Here the multiscale operator is described as:
F(x,s1,s2) = (f-s1)+s2
where f(x) is the original function and s1(x) is the structure function. Apparently, erosion and dilation with different scales can filter positive and negative noises more perfectly.This operation satisfies the four quantification principles of morphological filter. (from paper)
This operator is known in the Morphology community as an Alternating Sequential Filter, which basically performs filtering using a alternating series of dilations and erosions or openings and closings of increasing radii on the same image. This series of radii for the given structuring function can be decided based on the structure of the object/detail to be extracted or filtered. One can note that there are two different structuring elements s1 and s2 used to decide different scales for the erosions and dilations. This Matlab chain discusses on how to test it.