Finding Representative Points of Closest Approach for Noisy Curves

Cover Finding Representative Points of Closest Approach for Noisy Curves
Finding Representative Points of Closest Approach for Noisy Curves
C Marc Bastuscheck
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244 0. 105 0. 097 0. 237 0. 210 0. 189 0. 263 0. 233 0. 286 Ce 9 1 2 1 3 2 3 0. 066 0. 061 0. 076 0. 064 0. 066 0. 049 0. 070 0. 074 0. 070 0. 146 0. 074 0. 077 0. 181 0. 160 0. 163 0. 229 0. 211 0. 259 Ce 15 1 2 1 3 2 3 0. 027 0. 028 0. 037 0. 030 0. 028 0. 024 0. 036 0. 031 0. 044 0. 050 0. 039 0. 063 0. 102 0. 097 0. 115 0. 178 0. 183 0. 229 Table 2 Quality of Matches The matches using quadratic approximations (coordinates vs arc length) are very bad, and in fact not useful, while using the ...cubic approximation to smooth noisy curves results in good matches when only a small section of the curve is used. As the amount of curve used in the fit is increased the quality of fit decreases, apparently because the location of points of closest approach of smooth curves is quite sensitive to slight changes of shape. The cubic fit procedure is superior to the centroid procedure when a small amount of the curves are used because, while the starting points for both procedures are the same, the fitting algorithm allows the representative point to move from the starting point more easily.

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