A Method of Circle Curve Fitting Based on the Cumulative Error of the Radius Error
Chunlong Fan, Chang Liu, Guohui Ding, Li Xu
Abstract
Chunlong Fan, Chang Liu, Guohui Ding, Li Xu
Abstract
Circle curve fitting is always the important issue of the engineering technology. The effect of circle curve fitting is influenced by both the data quality and fitting method. In this paper, using the special properties of circle, that's the error value of any two radius is zero. Then the method of circle curve fitting was proposed, by finding the minimum error distance between any two fitting points and the fitted center points. Under various test data points, both our algorithm and other classical algorithms can get accurate circle fitting. Especially, the method of this paper can get more accurate results, under the situation that the degree of dispersion of the fitting points is bigger and the radian of the fitting points is smaller.
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Circle curve fitting is always the important issue of the engineering technology. The effect of circle curve fitting is influenced by both the data quality and fitting method. In this paper, using the special properties of circle, that's the error value of any two radius is zero. Then the method of circle curve fitting was proposed, by finding the minimum error distance between any two fitting points and the fitted center points. Under various test data points, both our algorithm and other classical algorithms can get accurate circle fitting. Especially, the method of this paper can get more accurate results, under the situation that the degree of dispersion of the fitting points is bigger and the radian of the fitting points is smaller.
Key concepts: Curve fitting, RADIUS, Data point, Mathematics, Zero (linguistics), Approximation error, Algorithm, Point (geometry)