2015Unpublished venueRequires access

A Method of Circle Curve Fitting Based on the Cumulative Error of the Radius Error

Chunlong Fan, Chang Liu, Guohui Ding, Li Xu

Open publisher page 4 citations

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.

About this research paper

What this paper is about

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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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Curve fitting, RADIUS, Data point, Mathematics, Zero (linguistics), Approximation error, Algorithm, Point (geometry)

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