Zhou Wei, Cheng Dewen, Xu Chen, Yu Lu, Wang Qingfeng, Wang Yongtian, Jin Guofan. Application of NURBS free-form surface in optomechanical design and analysis[J]. Infrared and Laser Engineering, 2014, 43(10): 3313-3320.
| Citation:
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Zhou Wei, Cheng Dewen, Xu Chen, Yu Lu, Wang Qingfeng, Wang Yongtian, Jin Guofan. Application of NURBS free-form surface in optomechanical design and analysis[J]. Infrared and Laser Engineering, 2014, 43(10): 3313-3320.
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Application of NURBS free-form surface in optomechanical design and analysis
- 1.
School of Optoelectronics,Beijing Institute of Technology,Beijing 100081,China;
- 2.
State Key Laboratory of Precision Measurement Technology and Instrument,Tsinghua University,Beijing 100084,China
- Received Date: 2014-02-05
- Rev Recd Date:
2014-03-03
- Publish Date:
2014-10-25
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Abstract
Knowing that optical surface should have strong surface description and fitting ability and that ray-tracing speed of the surface should be fast, the fitting method and ray tracing algorithm of NURBS free-form surface were studied. Fitting mild slope asphere, deep slope asphere and peaks surface respectively to NURBS surface using Multilevel B-splines approximation(MBA), all of the fitting residual errors were less than 10 nm, and it proved the NURBS surface is qualified for various free-form surface. Several high-precision and fast methods for inversion of NURBS surface were studied, and the ray tracing algorithm's speed was 3 times faster than traditional derivative algorithm. Given an appropriate iterative initial value, the time for calculating each point could be minimized to 0.3 ms. Examples of successfully using NURBS surface in optomechanical analysis of free-form surface prism system and in CODEV user-defined surface, show that the NURBS surface is fully adequate in optomechanical design, analysis and fabrication.
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References
|
[1]
|
|
|
[2]
|
Piegl L A, Tiller W. The NURBS Book[M]. Berlin: Springer Verlag, 1997. |
|
[3]
|
|
|
[4]
|
Wassermann G D, Wolf E. On the theory of aplanatic aspheric systems[J]. Proceedings of the Physical Society Section B, 1949, 62(1): 2-8. |
|
[5]
|
|
|
[6]
|
Minano J C, Benitez P, Lin W, et al. An application of the SMS method for imaging designs[J]. Optics Express, 2009, 17(26): 24036-24044. |
|
[7]
|
|
|
[8]
|
Wu J, Wang Q F, Huang Y, et al. Review of surface reconstruction methods in reverse engineering [J]. Journal of Engineering Graphics, 2004, 25(2): 133-142. |
|
[9]
|
|
|
[10]
|
Lee S, Wolberg G, Shin S Y. Scattered data interpolation with multilevel B-splines[J]. Visualization and Computer Graphics IEEE Transactions on, 1997, 3(3): 228-244. |
|
[11]
|
|
|
[12]
|
Abert O. Interactive ray tracing of NURBS surfaces by using SIMD instructions and the GPU in parallel[D]. Singapore:Nanyang Technological University, 2005. |
|
[13]
|
Zhang Ying, Ding Zhengmin, Zhao Huijie, et al. Rigid-body displacement separation of optics in optical structure thermal interated analysis[J]. Infrared and Laser Engeneering, 2012, 41(10): 2763-2767. (in Chinese) 张颖, 丁振敏, 赵慧洁, 等. 光机热集成分析中镜面刚体位移分离[J]. 红外与激光工程, 2012, 41(10): 2763-2767. |
|
[14]
|
|
|
[15]
|
|
|
[16]
|
Cheng D-W, Wang Y-T, Hua H, et al. Design of an optical see-through head-mounted display with a low f-number and large field of view using a freeform prism [J]. Applied Optics, 2009, 48(14): 2655-2668. |
|
[17]
|
Cheng Dewen, Wang Yongtian, Chang Jun, et al. Design of an lightweight and wide field-of-view HMD system with free-form-surface[J]. Infrared and Laser Engeneering, 2007, 36(3): 309-311. (in Chinese) 程德文, 王涌天, 常军, 等. 轻型大视场自由曲面棱镜头盔显示器的设计[J]. 红外与激光工程, 2007, 36(3): 309-311. |
|
[18]
|
|
|
[19]
|
Optical Research Associates. CODE V Reference Manual for V104 [J/OL]. 2010-07-18. |
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