2017-12-15 Welcome guest,  Sign In  |  Sign Up
Chin. Opt. Lett.
 Home  List of Issues    Issue 11 , Vol. 15 , 2017    10.3788/COL201715.111203

3D shape reconstruction of parabolic trough collector from gradient data based on slope stitching approach
Yinlong Hou, Lin Li, Shanshan Wang, and Qiudong Zhu
School of Optoelectronics, [Beijing Institute of Technology], Beijing 100081, China

Chin. Opt. Lett., 2017, 15(11): pp.111203

Topic:Instrumentation, measurement and metrology
Keywords(OCIS Code): 120.0120  120.6650  120.3940  350.6050  

A method based on slope stitching for measurement of a large off-axis parabolic trough collector is proposed and applied to the surface shape reconstructed from the gradient data acquired by using the reverse Hartmann test. The entire reflector is divided into three sections with overlapping zones along the concentration direction. A mathematical model for the slope stitching algorithm is developed. An improved reconstruction method combining Zernike slope polynomials iterative fitting with the Southwell integration algorithm is utilized to recover the real three-dimensional (3D) shape of the collector. The efficiency and validity of the improved reconstruction method and the stitching algorithm are experimentally verified.

Copyright: © 2003-2012 . This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

 View PDF (934 KB)


Posted online:2017/10/19

Get Citation: Yinlong Hou, Lin Li, Shanshan Wang, and Qiudong Zhu, "3D shape reconstruction of parabolic trough collector from gradient data based on slope stitching approach," Chin. Opt. Lett. 15(11), 111203(2017)

Note: This work was supported by the National “973” Program of China (No. 2013CB733100) and the National Natural Science Foundation of China (No. 61008033)


1. S. A. Jones, J. K. Gruetzner, R. M. Houser, R. M. Edgar, and T. J. Wendelin, in Proceedings of the 32nd Intersociety Energy Conversion Engineering Conference, 1997. IECEC-97 (1997), p.?1877.

2. M. R. Shortis, and G. H. G. Johnston, J. Solar Energy Eng. Trans. ASME 118, 146 (1996).

3. K. Pottler, E. Lupfert, G. H. G. Johnston, and M. R. Shortis, J. Solar Energy Eng. Trans. ASME 127, 94 (2005).

4. V. I. Moreno-Oliva, M. Campos-Garcia, E. Roman-Hernandez, and A. Santiago-Alvarado, Opt. Eng. 53, 114108 (2014).

5. V. I. Moreno Oliva, R. Uribe, and M. Campos-García, Solar Collectors and Panels, Theory and Applications (InTech, 2010), Chap.?8.

6. M. C. Knauer, J. Kaminski, and G. Hausler, Proc. SPIE 5457, 366 (2004).

7. S. Ulmer, T. Maerz, C. Prahl, W. Reinalter, and B. Belhomme, Solar Energy 85, 681 (2011).

8. M. Avenda?o-Alejo, V. I. Moreno-Oliva, M. Campos-García, and R. Díaz-Uribe, Appl. Opt. 48, 1008 (2009).

9. M. Campos-Garcia, V. I. Moreno-Oliva, R. Diaz-Uribe, F. Granados-Agustin, and A. Santiago-Alvarado, Appl. Opt. 50, 3101 (2011).

10. F. Patio-Jimenez, Y. Nahmad-Molinari, V. I. Moreno-Oliva, F. D. L. Santos-Garcia, and A. Santiago-Alvarado, Int. J. Photoenergy 2015, 196186 (2015).

11. T. Maerz, C. Prahl, S. Ulmer, S. Wilbert, and C. Weber, J. Solar Energy Eng. Trans. ASME 133, 31022 (2011).

12. M. I. Pena-Cruz, C. A. Arancibia-Bulnes, A. M. Vidal, and M. S. Gonzalez, J. Renewable Sustainable Energy 6, 013118 (2014).

13. L. Yang, L. Hu, D. Li, Z. Cao, Q. Mu, J. Ma, and L. Xuan, Chin. Opt. Lett. 13, 120801 (2015).

14. D. Malacara, ed., Optical Shop Testing (Wiley, 2007).

15. H. Cui, W. Liao, N. Dai, and X. Cheng, Chin. Opt. Lett. 10, 031201 (2012).

16. F. Zhou, X. Chen, H. Tan, and X. Chai, Chin. Opt. Lett. 14, 111403 (2016).

17. K. Liu, C. Zhou, S. Wang, S. Wei, and X. Fan, Chin. Opt. Lett. 13, 081101 (2015).

18. P. Su, R. E. Parks, L. R. Wang, R. P. Angel, and J. H. Burge, Appl. Opt. 49, 4404 (2010).

19. E. Kewei, L. Dahai, L. Mengyang, Z. Jiwen, L. Shuiyan, Z. Chong, D. Zhenqiang, and W. Qionghua, Acta Opt. Sin. 34, 112004 (2014).

Save this article's abstract as
Copyright©2014 Chinese Optics Letters 沪ICP备05015387