Evaluating Roundness Errors by Cross-chords Algorithm

机译：通过交叉和弦算法评估圆度误差

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A cross-chords algorithm for evaluating roundness errors is proposed in the paper, at the same time, mathematical models and formulas as well as the steps to calculate the centers of reference circles in high accuracy are showed. Three reference circles(Maximum inscribed circle-MIC, Minimum zone reference circle-MZC, and Minimum circumscribed circle-MCC) for evaluating roundness errors can be calculated by the formulas deduced in the paper after several times

机译：在纸上提出了一种用于评估圆度误差的交叉和弦算法，同时，数学模型和公式以及计算高精度高精度的参考圈中心的步骤。用于评估圆度误差的三个参考圆（最大铭刻圆形麦克风，最小区域参考圈MCC）可以通过在几次纸张中推导的公式计算

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《International Conference on Electronic Measuement Instruments》|1999年||共4页
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Sun Yuqin; Huang Qingcheng; Che Rensheng;
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中图分类 TM93-53;
关键词
Roundness error; Cross chords method; Minimum circumscribed circle (MCC); Minimum zone reference circles (MZC); Maximum inscribed circle(MIC);

机译：圆度误差;十字和弦方法;最小外接圈（MCC）;最小区域参考圆圈（MZC）;最大铭刻圆圈（MIC）;

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1. Rounding error bounds for the Clenshaw and Forsythe algorithms for the evaluation of orthogonal polynomial series [J] . Roberto Barrio Journal of Computational and Applied Mathematics . 2002,第2期

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2. Influence of rounding errors on the quality of heuristic optimization algorithms [J] . Ransberger M., Morgenstern I., Schneider J.J. Physica, A. Statistical mechanics and its applications . 2011,第13期

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3. A novel evaluation method of roundness error based on equilateral polygon search algorithm [J] . Xu Feng-Hua, Wang Sheng-Huai, Wang Jie International journal of wireless and mobile computing . 2019,第3期

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4. Evaluating Roundness Errors by Cross-chords Algorithm [C] . Sun Yuqin, Huang Qingcheng, Che Rensheng International Conference on Electronic Measuement Instruments . 1999

机译：通过交叉和弦算法评估圆度误差
5. RANDOMIZED ROUNDING AND DISCRETE HAM-SANDWICH THEOREMS: PROVABLY GOOD ALGORITHMS FOR ROUTING AND PACKING PROBLEMS (INTEGER PROGRAMMING) [D] . RAGHAVAN, PRABHAKAR 1986

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6. Evaluation of dose prediction errors and optimization convergence errors of deliverable-based head-and-neck IMRT plans computed with a superposition∕convolution dose algorithm [O] . I. B. Mihaylov, J. V. Siebers -1

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7. Rounding error bounds for the Clenshaw and Forsythe algorithms for the evaluation of orthogonal polynomial series [O] . Barrio Roberto 2002

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8. ROUND-OFF ERRORS IN CUTTING PLANE ALGORITHMS BASED ON THE REVISED SIMPLEX PROCEDURE [R] . John Edd Moore 1973

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Evaluating Roundness Errors by Cross-chords Algorithm

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