Error-correct arithmetic for angular displacement measurement with single linear image detector

Hai Yu; Qiuhua Wan; Xinran Lu; Yingcai Du; Changhai Zhao

doi:10.1117/1.OE.57.5.054108

16 May 2018 Error-correct arithmetic for angular displacement measurement with single linear image detector

Hai Yu, Qiuhua Wan, Xinran Lu, Yingcai Du, Changhai Zhao

Author Affiliations +

Optical Engineering, Vol. 57, Issue 5, 054108 (May 2018). https://doi.org/10.1117/1.OE.57.5.054108

Abstract

This paper proposes a grating eccentricity error correction technique for high-precision angular measurement via image processing. We first built a mathematical model of grating eccentricity error, then we established an error-correct arithmetic based on the least square method. We tested the proposed method to find that it yields a standard error deviation of only 6.33″, compared to the uncorrected standard error deviation of 22.33″. This method is based on a single detector, which is inexpensive and performs well. The results presented here may provide a theoretical and technological foundation for further research on small-size, high-resolution photographic rotary encoders.

Citation Download Citation

Hai Yu, Qiuhua Wan, Xinran Lu, Yingcai Du, and Changhai Zhao "Error-correct arithmetic for angular displacement measurement with single linear image detector," Optical Engineering 57(5), 054108 (16 May 2018). https://doi.org/10.1117/1.OE.57.5.054108

Received: 9 March 2018; Accepted: 2 May 2018; Published: 16 May 2018

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