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Filtering Closed Curves
May 1986 (vol. 8 no. 5)
pp. 665-668
B. K. P. Horn, Artificial Intelligence Laboratory, Massachusetts Institute of Technology, Cambridge, MA 02139.
E. J. Weldon, Department of Electrical Engineering, University of Hawaii, Honolulu, HI 96822.
A closed curve in the plane can be described in several ways. We show that a simple representation in terms of radius of curvature versus normal direction has certain advantages. In particular, convolutional filtering of the extended circular image leads to a closed curve. Similar filtering operations applied to some other representations of the curve do not guarantee that the result corresponds to a closed curve. In one case, where a closed curve is produced, it is smaller than the original. A description of a curve can be based on a sequence of smoothed versions of the curve. This is one reason why smoothing of closed curves is of interest.
Citation:
B. K. P. Horn, E. J. Weldon, "Filtering Closed Curves," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 8, no. 5, pp. 665-668, May 1986, doi:10.1109/TPAMI.1986.4767839
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