On the Behaviour in Scale-Space of Local Extrema and Blobs
Proc. 7th Scandinavian Conference on Image Analysis,
(Aalborg, Denmark), pages 8--17, Aug. 1991.
Also in Theory and Applications of Image Analysis
Selected Papers from the 7th Scandinavian Conference on Image
Analysis, pages 38--47, (P. Johansen and S. Olsen, eds.),
World Scientific Publishing, Singapore, 1992.
We apply elementary techniques from real analysis and
singularity theory 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
an estimation of the drift velocity of critical points and edges.
an analysis of the qualitative behaviour of critical points in bifurcation
a classification of what types of blob bifurcations are possible.
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