2011•Advanced materials researchOpen access

Radius Constraint Least-Square Circle Fitting Method

Qiang Zhu, Guohui Zhang, Zhen Xu

Abstract

Short arc usually lost the most part of information in measurement, therefore the fitting center can not be found accurately. The shortage of least-square method is analyzed in short arc fitting. The uncertainty of fitting center direction and fitting radius is illustrated. And we derived the solution to estimation of fitting center direction. Base on the testing environment, radius constraint least-square fitting circle method is proposed. Simulations demonstrated excellent performance of this algorithm.

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Available abstract

Key concepts: RADIUS, Square (algebra), Economic shortage, Curve fitting, Constraint (computer-aided design), Arc (geometry), Arc length, Center (category theory)