Polyloop Smoothing

Abstract

Planar curves may contain undesired noises or details. We explore the smoothing technique involving moving position of sample points along the curve. We demonstrate that naïve techniques usually reduce the area enclosed by the curve. Several smoothing techniques are introduced and discussed here. Finally, we proposed a approach named “Anglee” which is designed to filter out high frequency noise while the low frequency portion and the area enclosed are preserved.

Figure 1: Demonstration of smoothing not only filter out the high frequency portion of a polyloop but also keep the overall shape of the loop, which is the low frequency parts. The red curve on the right is derived by using the approach we proposed here namely, Anglee, after several iterations with area preserving.

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Last update: 2005-09-08