[1] [1] THOMPSON K P, ROLLAND J P. Freeform optical surfaces: a revolution in imaging optical design ［J］. Opt. Pho. News, 2012, 23(6): 30-35.

[2] [2] FUERSCHBACH K, JANNICK P R, KEVIN P T. A new family of optical systems employing φ-polynomial surfaces ［J］. Opt. Express, 2011, 19(22): 21919-21928.

[3] [3] ILHAN K, KEVIN P T, JANNICK P R. Edge clustered fitting grids for φ-polynomial characterization of freeform optical surfaces［J］. Optical Express, 2011, 19(27): 26962-26974.

[4] [4] ILHAN K, KEVIN P T, JANNICK P R. Comparative assessment of freeform polynomials as optical surface descriptions［J］. Opt. Express, 2012, 20(20): 22683-22691.

[5] [5] WANG CH. Research on Characterization Function and Application of Free-form Surface ［D］. Changchun: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, 2014.(in Chinese)

[6] [6] OZAN C, ILHAN K, GREGORY E F, et al.. Application of radial basis functions to represent optical freeform surfaces ［J］. SPIE-OSA, 2010, 7652: 76520A-1.

[7] [7] OZAN C, GREGORY E F, HASSAN F, et al.. Meshfree approximation methods for free-form surface representation in optical design with applications to head-worn displays ［J］. SPIE, 7061: 70610D.

[8] [8] OZAN C, BRENDAN M, HASSAN F, et al.. Optimal local shape description for rotationally non-symmetric optical surface design and analysis［J］. Optical Express, 2008, 16(3): 1583-1589.

[9] [9] OZAN C, SOPHIE V, HASSAN F, et al.. Application of radial basis functions to shape description in a dual-element off-axis magnifier［J］. Optical Letter, 2008, 33(11): 1237-1239.

[10] [10] ZHAO X, ZHENG Y, ZHANG Z, et al.. Characterization of freeform optical surfaces based on surface slope ［J］. Opt. Precision Eng., 2015, 23(7): 1954-1964.(in Chinese)

[11] [11] ZHANG B, WANG L, CCHANG W J, et al.. Optimal design of free-form-surface optical component in helmet mounted display［J］.Journal of Applied Optics, 2014, 35(2): 193-197.(in Chinese)

[12] [12] YANG L, JIA P, HONG Y F. Design of initial structure of infrared dual field-of-view optical system ［J］. Infrared, 2011, 32(1): 23-26.(in Chinese)

[13] [13] CUI E K, ZHANG B, HONG Y F, et al.. Design of initial structure of infrared zoom optical system with PW solution ［J］. Journal of Applied Optics, 2014(4): 586-591.(in Chinese)

[14] [14] FENG J, BAI Y, XING T W, et al..Fitting accuracy of wavefront using Zernike polynomials ［J］. Electro-Optic Technology Application, 2011, 26(2): 31-34.(in Chinese)

[15] [15] SUN X ZH, SU X Y, XING H L, et al.. The influence of sampling points on the precision of curved surface fitting based on Zernike polynomials ［J］. Optical Instruments, 2008, 30(4): 6-10.(in Chinese)

[16] [16] XIE S L. Sampling point number in curved surface fitting with Zernike polynomials ［J］. Journal of Applied Optics, 2010, 31(6): 943-949.(in Chinese)

[17] [17] FORBES G W. Shape specification for axially symmetric optical surfaces ［J］.Opt. Express, 2007, 15: 5218-5226.

[18] [18] FORBES G W. Robust, efficient computational methods for axially symmetric optical aspheres ［J］. Opt. Express, 2010, 18: 19700-19712.

[19] [19] OZAN C, BRENDAN M, HASSAN F, et al.. Optimal local shape description for rotationally non-symmetric optical surface design and analysis［J］. Optical Express, 2008, 16(3): 1583-1589.

[20] [20] YAN J ZH, LEI F, ZHOU B F, et al.. Several algorithms for wavefront fitting using Zernike polynomails［J］.Opt. Precision Eng., 1999, 7(5): 119-128.(in Chinese)