Apr. 2020

Article Contents

Chinese Optics> 2020> 13(2): 302-312.

LI Ang, WANG Yong-gang, WU Zhi-qiang, ZHANG Ji-you. Data processing of high-order aspheric surface measurements using CMM in optical fabrication[J]. Chinese Optics, 2020, 13(2): 302-312. doi: 10.3788/CO.20201302.0302

Citation:

LI Ang, WANG Yong-gang, WU Zhi-qiang, ZHANG Ji-you. Data processing of high-order aspheric surface measurements using CMM in optical fabrication[J].Chinese Optics, 2020, 13(2): 302-312.doi:10.3788/CO.20201302.0302

Citation:

LI Ang, WANG Yong-gang, WU Zhi-qiang, ZHANG Ji-you. Data processing of high-order aspheric surface measurements using CMM in optical fabrication[J].Chinese Optics, 2020, 13(2): 302-312.doi:10.3788/CO.20201302.0302

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Data processing of high-order aspheric surface measurements using CMM in optical fabrication

doi:10.3788/CO.20201302.0302

Optical Ultra-precision Manufacturing Technology Innovation Center for National Defense and Technology Industry, Beijing Institute of Space Mechanics and Electricity, Beijing 100094, China

Funds:

the National Natural Science Foundation of China11874250

More Information

Corresponding author:WANG Yong-gang, E-mail:vangernh@126.com
Received Date:29 Apr 2019
Rev Recd Date:10 Jun 2019
Publish Date:01 Apr 2020

Abstract

Abstract

Surface measurement using a Coordinate Measuring Machine(CMM) is the main method of processing large-aperture high order aspheric mirror fabrication. Because three main types of measurement error exist in original data, the achieved surface residual cannot be directly used in mirror fabrication. Therefore, a series of algorithms for cleaning the errors of CMM point clouds is proposed. Firstly, Probe Radius Compensation(PRC) based on aspherical surface reconstruction is used to compensate for probe radius error in acquired data. Then, the compensation data is processed to remove the rotation and translation errors in the coordinate system. Finally, Surface Residual Denoising(SRD) based on KNN is used to denoise the extracted surface residual data. In the PRC algorithm, a high-precision surface fitting model for probe center points is proposed, which takes rotation and translation errors into consideration. With this model, a correcting vector for each point can be calculated to compensate for the probe radius error. The Simulation experiments show that with PRC algorithm, the precision can reach RMS < 4 nm. By densifying the sampling points with spatial interpolation and optimizing the noise characterization, the proposed SRD algorithm can identify the noise points with a high degree of sensitivity, making the denoising intelligent. Software was constructed according to the error cleaning algorithm and its application shows that it can effectively improve the accuracy and efficiency of CMM point cloud processing during aspheric mirror fabrication.
- Coordinate Measuring Machine (CMM),
- aspheric surface,
- optical fabrication,
- probe-radius compensation,
- denoising

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References (12)

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