Dynamic Scale - Space Paradigmversusmathematical Morphology ?
نویسنده
چکیده
Image formation is described by means of modern geometry in terms of topological and geometric curvatures. These curvatures and derived equivalences are a quantisation of the set of rules for constructing the image in particular along discontinuity, singularity and bifurcation sets. A simpliication of the set of construction rules is proposed by applying a dynamic scale-space theory. Dynamic here refers to a redistribution and recombination of this set and does not correspond to whether the images are static or spatio-temporal. The class of dynamic scale-space theories is constrained by exchange principles for the curvatures and derived equivalences over the image and by invariance conditions. In the context of these theories the concepts of a metric, connection, diiusion operator, curvatures and equivalences are the essential physical objects. Next it is proposed to use curvatures and equivalences in morphological granulometry by means of size densities, statistical morphology and morphological scale-space theories among which those generated by parabolic dilations and those generated by watershed transformations on mosaic images. Furthermore, our dynamic scale-space paradigm is shown to substantiate and even generalise segmentation methods based on morphological scale-space theories.
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Dynamic scale-space paradigms versus mathematical morphology?
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