Chinese Optics, Volume. 15, Issue 1, 56(2022)
Risley-prism inverse algorithm based on equivalent vector model
Fig. 1. Schematic diagram of the coordinate system of Risley-prism
Fig. 8. (a) Target trajectory and scanning trajectory and (b) rotation angle of prism for two-step method
Fig. 9. (a) Target trajectory and scanning trajectory and (b) rotation angle of prism for equivalent vector two-step method
Fig. 10. (a) Target trajectory and scanning trajectory and (b) rotation angle of prism for forward iterative refinement algorithm
Fig. 11. (a) Target trajectory and scanning trajectory and (b) rotation angle of prism for equivalent vector iteration method
Fig. 12. Influence of
Fig. 13. Influence of angle of view on (a) forward interative refinement algorithm and (b) equivalent vector iteration method
Table 1. Comparison of the results of four inverse algorithms
View tableView in ArticleTable 1. Comparison of the results of four inverse algorithms
名称 最小误差 /mm 最大误差 /mm 平均误差 /mm 计算 时间/s 两步法 0.0391 0.4129 0.1031 0.008464 等效矢量两步算法 0.04065 0.5366 0.2456 0.007889 正演迭代算法 2.8114×10−5 8.5770×10−4 1.1093×10−4 0.346347 等效矢量迭代 算法 4.1163×10−7 1.5946×10−6 7.3820×10−7 0.035116
Table 2. Comparison of the results of two inverse algorithms
View tableView in ArticleTable 2. Comparison of the results of two inverse algorithms
名称 目标点位置 扫描点位置 误差 /mm 时钟周期 计算时间/ms 正演迭代算法 （3.063254, 2.025168） (3.062726, 2.024727) 6.880 $\times {10^{ - 3} }$ 561307 3.702 （−0.7943821, 2.657489） (−0.7942457, 2.656589) 9.103 $\times {10^{ - 4} }$ 544341 3.631 （1.368747, −0.765749） (1.369308, −0.766287) 7.776 $\times {10^{ -4} }$ 540786 3.607 （−4.084592, −3.019157） (−4.083504, −3.018215) 1.439 $\times {10^{ - 3} }$ 540786 3.667 等效矢量迭代法 （3.063254， 2.025168） (3.063266, 2.025181) 1.772 $\times {10^{ - 5} }$ 13353 0.08906 （−0.7943821, 2.657489） (−0.7943828, 2.657509) 1.980 $\times {10^{ - 5} }$ 13344 0.08900 （1.368747, −0.765749,） (1.368718, −0.765717) 4.258 $\times {10^{ - 5} }$ 13817 0.09216 （−4.084592, −3.019157） (−4.084604, −3.019171) 1.875 $\times {10^{ - 5} }$ 13431 0.08906
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Jian-xin FENG, Qiang WANG, Ya-lei WANG, Biao XU. Risley-prism inverse algorithm based on equivalent vector model[J]. Chinese Optics, 2022, 15(1): 56
Category: Original Article
Received: May. 29, 2021
Accepted: --
Published Online: Jul. 27, 2022
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