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A Reliable Method of Minimum Zone Evaluation of\ud Cylindricity and Conicity from Coordinate\ud Measurement Data

By Xiangchao Zhang, Xiang Jiang and Paul J. Scott


The form error evaluation of cylinders and cones is very important in precision coordinate metrology. The solution of the traditional least squares technique is prone to over-estimation, as a result unnecessary rejections may be caused. This paper proposes a reliable algorithm to calculate the minimum zone form errors of cylinders and cones, called a hybrid particle swarm optimization-differential evolution algorithm. The optimization is conducted in two stages, so that the program can hold a fast convergence rate, while effectively avoiding local minima. Experimental results demonstrate that the proposed algorithm can obtain very accurate and stable results for the calculation of cylindricity and conicity

Topics: TJ
Publisher: Elsevier B.V.
Year: 2011
OAI identifier: oai:eprints.hud.ac.uk:10273

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  1. (1996). Numerical methods for least squares problems.
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  4. (1993). A new minimum zone method for evaluating straightness errors. Precis Eng
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  12. (1995). Verification of form tolerances part ii: cylindricity and straightness of a median line. Precis Eng
  13. (2000). Evaluating the cylindricity of a nominally cylindrical point set. In:
  14. Minimum zone evaluation of circles and cylinders.
  15. Precision modeling of form errors for cylindricity evaluation using genetic algorithms.
  16. Quality assessment on a conical taper part based on the minimum zone definition using genetic algorithms.
  17. An immune evolutionary algorithm for sphericity error evaluation.
  18. Minimum-zone form tolerance evaluation using particle swarm optimisation.
  19. Conicity and cylindricity error evaluation using particle swarm optimization.
  20. (1995). Particle swarm optimization. In:
  21. The particle swarm-explosion, stability and convergence in a multidimensional complex space.
  22. The particle swarm optimization algorithm in size and shape optimization.
  23. Sampling with hammersley and halton points.
  24. (1975). Adaptation in natural and articicial systems:an introductory analysis with applications to biology, control and artificial intelligence. Ann Arbor:
  25. (2005). Differential evolution: a practical approach to global optimization. Natural Computing Series;
  26. (2005). Self-adaptive differential evolution algorithm for numerical optimization. In:
  27. (2009). An improved self-adaptive control parameter of differential evolution for global optimization.
  28. (2002). Diversity-guided evolutionary algorithms. In: Parallel Problem Solving from Nature-PPSN VII. Lecture notes in computer science;
  29. Chebyshev approximation methods for evaluating conicity.
  30. (2009). Freeform surface fitting for precision coordinate metrology.
  31. Functionality-oriented evaluation and sampling strategy in coordinate metrology. doi

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