[1] A Piratelli-Filho, G R Lesnau. Virtual spheres gauge for coordinate measuring arms performance test［J］. Measurement, 2010, 43(2): 236-244.

[2] ZHOU A W,GUO J J, SHAO W, et al.. A segmental calibration method for a miniature serial-link coordinate measuring machine using a compound calibration artifact［J］. Measurement Science and Technology, 2013, 24(6): 065001.

[3] MULTIBA U,KORTABERRIA G,OLARRA A, et al.. Performance calibration of articulated arm coordinate measuring machine［J］. Procedia Engineering, 2013, 63: 720-727.

[4] MESSAY T,ORDEZ R, MARCIL E. Computationally efficient and robust kinematic calibration methodologies and their application to industrial robots［J］. Robotics and Computer-Integrated Manufacturing, 2016, 37: 33-48.

[5] SANTOLARIA J,MAJARENA A C,SAMPER D, et al.. Articulated arm coordinate measuring machine calibration by laser tracker multilateration［J］. The Scientific World Journal, 2014: 681853.

[6] DENAVIT J, HARTENBERG R S. A kinematic notation for lower-pair mechanism based on matrices［J］. Journal of Applied Mechanics, 1955, 22: 215-221.

[7] LI J, YU L D,SUN J Q, et al.. A kinematic model for parallel-joint coordinate measuring machine［J］. Journal of Mechanisms and Robotics, 2013, 5(4): 044501-044501-4.

[8] HAYATI S, MIRMIRANI M. Improving the absolute positioning accuracy of robot manipulators［J］. Robotic Syst., 2(4), 1985: 397-413.

[9] SANTOLARIA J,AGUILAR J J, YAGE J A, et al.. Kinematic parameter estimation technique for calibration and repeatability improvement of articulated arm coordinate measuring machines［J］. Precision Engineering, 2008, 32(4): 251-268.

[10] WANG L C,DING H, WANG S J. Measurement error compensation using data fusion technique for laser scanner on AACMMs.［C］. Proceedings of the 3rd International Conference on Intelligent Robotics and Applications, Part II, Shanghai, China, November 10-12, 2010: 576-586.

[11] PIRATELLI-FILHO A,TERNANDES F H T, ARENCIBIA R V. Application of virtual spheres plate for AACMMs evaluation［J］. Precision Engineering, 2012, 36(2): 349-355.

[12] JOUBAIR A, BONEV I A. Kinematic calibration of a six-axis serial robot using distance and sphere constraints［J］. The International Journal of Advanced Manufacturing Technology, 2015, 77: 515-523.

[13] JOUBAIR A,BONEV I A. Non-kinematic calibration of a six-axis serial robot using planar constraints［J］. Precision Engineering, 2015, 40: 325-333.

[14] CHENG W T,FEI Y T, YU L D, et al.. Probe parameters calibration for articulated arm coordinate measuring machine ［C］.Proceedings of the 6th International Symposium on Precision Engineering Measurements and Instrumentation, Hangzhou, China, August 8-11, 2010: 7544.

[15] KENNEDY J,EBERHART R. Particle swarm optimization［C］. Proceedings of the 1995 IEEE International Conference on Neural Networks, Perth, Australia, November, 1995: 1942-1948.

[16] DORIGO M. Optimization, learning and natural algorithms［D］. Master’s thesis, Politecnico di Milano, Italy, 1992.

[17] STORN R,PRICE K. Differential evolution-A simple and efficient heuristic for global optimization over continuous spaces ［J］.Journal of Global Optimization, 1997, 11(4): 341-3591.

[18] GEEM Z W,KIM J H, LOGANATHAN G. A new heuristic optimization algorithm: harmony search［J］. Simulation, 2001, 76(2): 60-68.

[19] RIM C,PIAO S,LI G, et al.. A niching chaos optimization algorithm for multimodal optimization［J］. Soft Computing, 2016: 1-13. doi: 10.1007/s00500-016-2360-2.

[20] WANG X Y, WANG H, LU Y, et al.. Perpendicularity error calibration method of articulated arm coordinate measuring machine［J］. T Chin Soc Agric Mach, 2016,47(11): 408-413.

[21] LUO Z, LIU H, TIAN K, et al.. Error analysis and compensation of the measuring force of the articulated arm coordinate measuring machine［J］.Chinese Journal of Scientific Instrument, 2017, 38(05): 1159-1167.

[22] WANG X Y, WANG H, LU Y, et al.. Parameter calibration method of articulated arm coordinate measuring machine［J］.T Chin Soc Agric Mach, 2016,47(06): 408-412.

[23] LU Y, ZHANG P P, WANG H, et al.. Measurement space error modeling of AACMM［J］. Computer Measurement&Control, 2016,24(07): 291-293.

[24] CHEN X F, XU M H. Establishment of error prediction model of AACMM based on GA-BP neural network［J］. Industrial Metrology,2017,27(S1): 129-132.

[25] NGUYEN H N,ZHOU J,KANG H J. A calibration method for enhancing robot accuracy through integration of an extended Kalman filter algorithm and an artificial neural network［J］. Neurocomputing, 2015, 151: 996-1005.

[26] American Society of Mechanical Engineers, ASME B89.4.22-2004: Methods for performance evaluation of articulated arm coordinate measuring machines ［P］, 2004, ISBN: 0791829405.

[27] LI B,JIANG W S. Optimizing complex function by chaos search［J］. Cybernetics and Systems, 1998, 29(4): 409-419.

[28] YANG D X,LI G, CHENG G D. On the efficiency of chaos optimization algorithms for global optimization. ［J］. Chaos, Solitons and Fractals, 2007, 34: 1366-1375.

[29] SARENI B, KRHENBHL. Fitness sharing and niching methods revisited［C］. IEEE Transactions on Evolutionary Computation, 1998, 2(3): 97-106.

[30] MARQUARDT D. An algorithm for least-squares estimation of nonlinear parameters［J］. SIAM Journal on Applied Mathematics, 1963, 11(2): 431-441. doi: 10.1137/0111030.

[31] BYRD R H,SCHNABEL R B,SHULTZ G A. A trust region algorithm for nonlinearly constrained optimization［J］. SIAM Journal on Numerical Analysis, 1987, 24(5): 1152-1170.