Abstract
In this paper, the evaluation mathematic model of the characteristic parameters of aspheric surface was built based on abstract the data of profile through cross-section’s measurement of aspheric surface. The center’s coordinates of each measuring section’s least square circle is calculated according to the least square method used in the evaluation of roundness for the measuring data of each measuring section, then the least square axis’ parameters of aspheric surface are determined based on the center’s coordinates of all measuring section least square circles, and the part coordinate system is built. Based on it, through parallel movement and rotary transformation, sampling data coordinates were transformed into the measuring coordinate system, the un-known parameters of aspheric surface are determined by using nonlinear least square iterative method and the linearization processing.
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This project is supported by National Natural Science Foundation of China (Grant No. 51705546) and the Henan Colleges and Universities Key Research Projects Foud (Grant No. 18A460037).
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Xi, J., Yang, Q., Li, Y. (2019). Pose Error Alignment with On-machine Measurement for Grinding Process of the Aspheric Mirrors. In: Deng, K., Yu, Z., Patnaik, S., Wang, J. (eds) Recent Developments in Mechatronics and Intelligent Robotics. ICMIR 2018. Advances in Intelligent Systems and Computing, vol 856. Springer, Cham. https://doi.org/10.1007/978-3-030-00214-5_108
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