The Morphological Equivalents of Relativistic and Alpha-Scale-Spaces
نویسندگان
چکیده
The relations between linear system theory and mathematical morphology are mainly understood on a pure convolution / dilation level. A formal connection on the level of differential or pseudodifferential equations is still missing. In our paper we close this gap. We establish the sought relation by means of infinitesimal generators, exploring essential properties of the slope and a modified Cramér transform. As an application of our general theory, we derive the morphological counterparts of relativistic scale-spaces and of α-scale-spaces for α ∈ [ 1 2 ,∞). Our findings are illustrated by experiments.
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تاریخ انتشار 2015