Rapid Modeling of Free Form Reflector Surface Based on
Iterative Minor Adjustment

WANG Gang  SHAN Yan  WU Weiwei

(Institute of Chemical Machinery Engineering, Zhejiang University, Hangzhou 310027)

Abstract: Free form reflector reverse modeling has rigid precision and efficiency requirements, which are related of optical characteristics. A rapid modeling method of surface minor adjustment is presented, which is based on iterative fitting. The reflector surfaces can be created rapidly by minor adjusting the section curves iteratively, and the whole process is under error control. Design applications show that developed techniques can deal with the reflector modeling stably and rapidly, and improve enterprise productivity obviously.

Key words: Iterative minor adjustment  Reflector  Photometric characteristics  Reverse modeling

CLC No: TP391

“十一五”国家科技支撑计划资助项目. Received 20070317, received in revised form 20071105

References

[1] FOLEY T A. Scattered data interpolation and approxima-tion with error bounds[J]. Computer Aided Geometric De-sign, 1986, 3(3): 163-177.
[2] PARK H. An error-bounded approximate method for rep-resenting planar curves in B-splines[J]. Computer Aided Geometric Design, 2004, 21(5): 479-497.
[3] LIU Dingyuan, HU Kangsheng. Fitting of Bézier sur-faces[J]. Acta Mathematicae Applicatae Sinica, 1984, 7(2): 250-256.
[4] WOODWARD C D. Cross sectional design of B-spline surfaces[J]. Computers & Graphics, 1987, 11(2): 193-201.
[5] WOODWARD C D. Skinning techniques for interactive B-spline surface interpolation[J]. Computer Aided De-sign, 1988, 20(8): 441-451.
[6] PIEGL L, TILLER W. The NURBS book[M]. New York: Springer, 1997.
[7] WANG Guojin, WANG Guozhao, ZHENG Jianmin. Computer aided geometric design[M]. Beijing: Higher Education Press; Heidelbreg: Springer, 2001.