Deep structure III. topological numbers
In the previous chapters we detected and followed the singularity strings through scale-space in an ac hoc manner. In the scale selection section, the detection of maxima was done by simply looking for pixels with values larger than its neighbors. In the edge focusing section, minima and maxima were detected (and distinguished) for a 1D signal by looking at sign changes for the derivative signal. Furthermore these extrema were tracked down through scale-space by simply looking for extrema in a close neighborhood in successive scale levels below. Finally, in the multi-scale segmentation section, the dissimilarity minima were represented indirectly by the catchment basins, and the linking across scale was done robustly by matching regions instead of points.
KeywordsSaddle Point Drift Velocity Deep Structure Gradient Vector Image Description
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