Criteria to estimate quality of methods selecting contour inflection points

Diana Zahorodnia, Yuriy Pigovsky, Pavlo Bykovyy, Victor Krylov, Bohdan Rusyn, Vasyl Koval · 2017

Current study performs a comparison of the contour inflection point selection methods according to the following criteria: probability of the correct selection, probability of the incorrect selection and an error in the coordinate estimation based on the results of model tasks. Results of the interpolation and differential methods and the method based on wavelet analysis of the contour inflection point were analyzed and graphically illustrated. It is shown that for simple geometric shapes the interpolation method has low precision (it shifts the contour inflection points) while differential method has the best precision properties, however it selects redundant inflection points (it has a low noise resistance) and the method based on the wavelet analysis of the curvature function shows the best results under noisy conditions.

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