Autocollimators (ACs) are primarily used for two-dimension measurement with small angle. A three-dimensional AC (3D-AC) with a large measurement range and capable of 3D angle measurement is proposed based on a modified cube corner reflector (MCCR). The MCCR structure is designed by establishing the space coordinate vector relation model between AC and the reflectors with the rotation relation of Euler space. A 3D-AC angle measurement equation for MCCR dimension angle recognition is established. Experiments demonstrate that the proposed 3D-AC model can be used for 3D measurement. The measurement range of 3D-AC is 10°, and the uncertainty values for the one-dimensional and combined angle measurements are (57.10″, 55.25″, 40.43″) and (394.16″, 455.36″, 319.57″), respectively.

A complementary metal-oxide semiconductor (CMOS) multi-matrix-based optoelectronic system is proposed and studied to measure the deformation of each connection point of a large full-rotatable radio telescope. The system is based on 18 multi-matrix base units. Theoretical investigations demonstrate that the system can provide real-time measurement of multi-point displacements quickly (within 21 seconds). Experimental investigations reveal that the actual measurement error of the photoelectric measurement unit designed in this paper is 0.024 mm. It is inferred that the measurement displacement error will not exceed 0.05 mm in an actual measurement of the full main mirror of the large diameter radio telescope, thus confirming the feasibility of the system. INDEX TERMS Measuring deformations, millimeter-range radio telescope, multi-matrix measurement system, optoelectronic system.

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