[1] [1] NI Y, YU J CH, GUO P J, et al.. Principle and application of miniature aspheric surface profile meter[J]. Opt. Precision Eng.,2003, l1(6):612-616. (in Chinese)

[2] [2] ZHANG X J,ZHANG Y F,YU J CH, et al.. FSGJ-1 aspheric automatic fabrication and on-line testing system[J]. Opt. Precision Eng.,1997, 5(6): 70-76. (in Chinese)

[3] [3] ZENG ZH G, DENG J M, LI X J, et al.. Investigation of deformation experiment for active polishing lap[J].High Power Laser and Particle Beams, 2004,16(5):555-559. (in Chinese)

[4] [4] PAN J H. Optical problems in imaging optical engineering[J].Engineering Science, 2000,2(3):32-35. (in Chinese)

[5] [5] HU Z Q,NING L. Novel method of designing deformable polishing lap[J]. SPIE, 2007,67223C:1-7.

[6] [6] MAYERGOYZ I D.Mathematical models of hysteresis[J].Physical Review Letters,1986,56(15):1518-1521.

[7] [7] MAYERGOYZ I D. Mathematical Models of Hysteresis[M]. New York: Springer-Verlag, 1991.

[8] [8] LI L, LIU X D, WANG W, et al.. Generalized nonlinear Preisach model for hysteresis nonlinearity of piezoceramics actuator and its numerical implementation[J].Opt. Precision Eng.,2007,15(5):706-712. (in Chinese)

[9] [9] JIA H G, ZHENG Y, WU Y H. PZT actuator control complex arithmetic based on nonlinear model[J].Opt. Precision Eng.,2007,15(10):1547-1552. (in Chinese)

[10] [10] WANG Y Y, ZHAO X Z. Inverse control algorithm to compensate the hysteresis and creep effect of piezoceramic[J]. Opt.Precision Eng.,2006, 14(6):1032-1040.(in Chinese)

[11] [11] ADLY A,ABDELHAFIZ S R. Using neural networks in the identification of Preisach-type hysteresis models[J]. IEEE Transaction on Magnetics, 1998, 34 (3) : 629-635.

[12] [12] DANG X J, TAN Y H. Study on neural networks dynamic hysteresis model for piezoceramic based on Wiener model[J]. Journal of System Simulation, 2005,17（11）:2701-2703. (in Chinese)

[13] [13] GUO P, LI H ZH. Image de-noising using cross-validation method with RBF network representation, Lecture Notes in Computer Science [C]. Berlin Heidelberg: SpringerVerlag,2004:393 - 398.

[14] [14] GUO P, HU M. CT image reconstruction based on the RBF network image representation[J]. ACTA ELECTRONICA SINICA,2007,35(6):1183-1186. (in Chinese)