• Optics and Precision Engineering
  • Vol. 22, Issue 6, 1606 (2014)
WANG Yu-chun1,2,*, SUN He-yi1, TANG Wen-yan1, JIANG Chong-ran2, and TIAN Si-qing2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    DOI: 10.3788/ope.20142206.1606 Cite this Article
    WANG Yu-chun, SUN He-yi, TANG Wen-yan, JIANG Chong-ran, TIAN Si-qing. Angle subdivision approach algorithm for conicoid profile error evaluation[J]. Optics and Precision Engineering, 2014, 22(6): 1606 Copy Citation Text show less

    Abstract

    A method based on angle subdivision approach algorithm and Particle Swarm Optimization (PSO) was proposed to evaluate concicoid profile error accurately in any position and orientation with the requirement of the minimal zone。 Two hypotheses were proposed to realize the angle subdivision approach algorithm. According to the hypotheses, a recursion formula for more reasonable girdding was given. Then, an accurate evaluating model was established according to the definition of conicoid profile error. The angle subdivision approach algorithm was adopted to calculate the distance between measurement points and fitting quadric surface. The position between measured profile and theoretical profile was matched through fitting the general quadric surface equation. A paraboloid antenna was evaluated by the above method in an experiment, and the results were compared with those of parameter subdivision approach algorithm, SMX-Insight and Least Square Method (LSM). Experimental results indicate that the profile error is 0.659 8 mm more accurate than that of other methods. The results show that angle subdivision approach algorithm is more efficient in concicoid profile error evaluation and its calculation is accurate, rapid, and no need to find the division area.
    WANG Yu-chun, SUN He-yi, TANG Wen-yan, JIANG Chong-ran, TIAN Si-qing. Angle subdivision approach algorithm for conicoid profile error evaluation[J]. Optics and Precision Engineering, 2014, 22(6): 1606
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