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A Wheel Tread Profile Fitting Method Based on Automatically Extracting Subsection Points
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摘要
A curve fitting method based on automatically extracting subsection points is proposed to fit the wheel tread profile accurately. Firstly, the subsection points are determined by segmenting discrete points of wheel tread profile based on given errors and threshold. Secondly, the segmentation interval is determined with the respective segment point as the center, and the least squares curve fitting is performed on the data points of each segment based on the concept of segmentation interval. Thirdly, the least square curve fitting method is adopted to fit all data points in the interval. Finally, all curves are connected to a smooth curve by adopting Lagrange multiplier method. The data were obtained in the field to fit curve by extracting subsection points automatically. The result showed that the wheel tread profile fitted by this method is smooth at subsection points. The mean absolute error is 0.045 mm and the largest offset amplitude is 0.05%. Compared with the manual segmentation method, the automatic segmentation method is more accuracy and effective. The method has been applied into the auto wheel-size detection system and the detected results are more accurate.
A curve fitting method based on automatically extracting subsection points is proposed to fit the wheel tread profile accurately. Firstly, the subsection points are determined by segmenting discrete points of wheel tread profile based on given errors and threshold. Secondly, the segmentation interval is determined with the respective segment point as the center, and the least squares curve fitting is performed on the data points of each segment based on the concept of segmentation interval. Thirdly, the least square curve fitting method is adopted to fit all data points in the interval. Finally, all curves are connected to a smooth curve by adopting Lagrange multiplier method. The data were obtained in the field to fit curve by extracting subsection points automatically. The result showed that the wheel tread profile fitted by this method is smooth at subsection points. The mean absolute error is 0.045 mm and the largest offset amplitude is 0.05%. Compared with the manual segmentation method, the automatic segmentation method is more accuracy and effective. The method has been applied into the auto wheel-size detection system and the detected results are more accurate.
引文
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