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<p><b>Abstract</b>—Decomposition by extrema is put into the context of linear vision systems and scale-space. It is proved that discrete one-dimensional, <it>M</it>- and <it>N-sieves</it> neither introduce new edges as the scale increases nor create new extrema. They share this property with diffusion based filters. They are robust and preserve edges of large scale features.</p>
Scale-space, image processing, morphology, vision, diffusion.
J. Andrew Bangham, Paul D. Ling, Richard Harvey, "Scale-Space From Nonlinear Filters", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 18, no. , pp. 520-528, May 1996, doi:10.1109/34.494641
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