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Saturday, January 28th, 2012, 4:22 pm

Testing GMDS With Denser Voronoi Cells

I have put a colleague’s code to use and explored the possibility of doubling the number of points given the vastly faster implementation. Surprisingly, however, with additional points there is somewhat of a struggle to find the correct macro-correspondence, even within real pairs of surfaces that are not so intrinsically different (and 15 levels in the multi-scale approach, coarse-to-fine).

I am running some more experiments that look at what can be refined for better recognition/classification performance. Shown below are segmentations (based on correspondence) of pairs of surfaces with 400 and 600 Voronoi cells.

Overnight I ran a GMDS-intensive experiment to see how good a signal — for discriminative purposes — one can get with a 40-step geodesic dilation iterative process — the type of process that previously gave very good discriminative power (mistake once in about 40 comparisons). It would be heartening to believe that given the right formula (black art of adjusting parameters) GMDS will provide a flawless test, or maybe make up one of a series of tests that achieve it. At the moment, all experiments measure 5 different things at the same time in order to reduce the need to rerun lengthy experiments.

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