Scale-space behaviour of local extrema and blobs

Elementary techniques from real analysis, and singularity theory are applied to derive analytical results for the behaviour in scale-space of critical points and related entities. The main results of the treatment comprise• a description of the general nature of trajectories of critical points in scale-space• estimates of the drift velocity of critical points and straight edges• an analysis of the qualitative behaviour of critical points in bifurcation situations• a classification of what types of blod events are possible

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