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. Author manuscript; available in PMC: 2008 Nov 1.
Published in final edited form as: Comput Methods Programs Biomed. 2007 Oct 17;88(2):182–190. doi: 10.1016/j.cmpb.2007.08.006

Fig. 5.

Fig. 5

Influence of noise and flat regions: (a) a membership function from our experimental study, (b) the approximated function with spherical topology computed from the lowest to highest membership values, with δ = 0, (c) the same approximation with δ = 1E - 12, (d) the approximation with δ = 1E - 3. The propagation is started from the boundary of the image, and evolves at random through the background region if δ = 0. The smallest increase to will remove most of the critical points, and the remaining artificial structures due to background noise will also disappear with a higher δ.