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High-Precision and Fast Evaluation of Spatial Straightness Error
of 3D Coordinate Point Set |
HUANG Shouguo1,CHEN Jianduan2
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(1. Key Laboratory of Optoelectronic Technology and Systems of the Ministry of Education,
Chongqing University, Chongqing 400030;
2. 5011 District Measurement Station of Weapon Industry, Chongqing 400050, China) |
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Abstract Abstract: This paper proposed a novel highprecision, robust and fast spatial straightness error evaluation algorithm called 3 points highprecision fast algorithm (3PHFA) to deal with the problem of low precision and low efficiency when evaluating spatial straightness errors. With reference to the related national standard for construction of mathematics models, the algorithm mainly includes 3DLSA fitting, space coordinate translation, coordinate projection, and determining minimum circumscribed circle (MCC), which can determinate the minimum cylindrical surface (MCS). By adding the highly effective search algorithm to the 3DLSA algorithm, it almost improves the evaluation accuracy by 20% in less than 1 second. Compared with other evaluating algorithms, the 3PHFA has the advantages of high efficiency and accuracy, and better robustness. It is applicable to the realtime processing system such as coordinate measuring machine (CMM), and has a good practical value for evaluating machine parts.
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Received: 17 March 2015
Published: 28 May 2016
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