1. bookVolume 14 (2014): Issue 4 (August 2014)
Journal Details
License
Format
Journal
eISSN
1335-8871
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English
access type Open Access

Multiple Iterations of Bundle Adjustment for the Position Measurement of Fiber Tips on LAMOST

Published Online: 23 Aug 2014
Volume & Issue: Volume 14 (2014) - Issue 4 (August 2014)
Page range: 190 - 197
Received: 15 Nov 2013
Accepted: 29 Jul 2014
Journal Details
License
Format
Journal
eISSN
1335-8871
First Published
07 Mar 2008
Publication timeframe
6 times per year
Languages
English
Abstract

In the astronomical observation process of multi-object fiber spectroscopic telescope, the position measurement of fiber tips on the focal plane is difficult and critical, and is directly related to subsequent observation and ultimate data quality. The fibers should precisely align with the celestial target. Hence, the precise coordinates of the fiber tips are obligatory for tracking the celestial target. The accurate movement trajectories of the fiber tips on the focal surface of the telescope are the critical problem for the control of the fiber positioning mechanism. According to the special structure of the LAMOST telescope and the composition of the initial position error, this paper aims at developing a high precision and robust measurement method based on multiple iterations of bundle adjustment with a few control points. The measurement theory of the proposed methodology has been analyzed, and the measurement accuracy has been evaluated. The experimental results indicate that the new method is more accurate and more reliable than the polynomial fitting method. The maximum position error of the novel measurement algorithm of fiber tips with simulated and real data is 65.3 μm, and most of the position errors conform to the accuracy requirement (40 μm).

Keywords

[1] Gillingham, P.R. (1989). Lessons for new large telescopes from the AAT. Astrophysics and Space Science, 160 (1), 281-286.10.1007/BF00642783Search in Google Scholar

[2] Kent, S.M. (1994). Sloan digital sky survey. Astrophysics and Space Science, 217 (1), 27-30.10.1007/BF00990018Search in Google Scholar

[3] Xing, X.Z., Zhai, C., Du, H.S., Li, W.M., Hu, H.Z., Wang, R.F., Shi, D.X. (1998). Parallel controllable optical fiber positioning system for LAMOST. In Advanced Technology Optical / IR Telescopes VI, Proc. SPIE 3352, 839-849.Search in Google Scholar

[4] Edelstein, J., Poppett, C., Sirk, M., Besuner, R., Lafever, R., Allington-Smith, J.R., Murray, G.J. (2012). Optical fiber systems for the BigBOSS instrument. In Modern Technologies in Space-and Ground-Based Telescopes and Instrumentation II, Proc. SPIE 8450.10.1117/12.925196Search in Google Scholar

[5] Predmore, C.R. (2010). Bundle adjustment of multiposition measurements using the Mahalanobis distance. Precision Engineering, 34 (1), 113-123.10.1016/j.precisioneng.2009.05.003Search in Google Scholar

[6] Zhang, F.M., Qu, X.H. (2012). Fusion estimation of point sets from multiple stations of spherical coordinate instruments utilizing uncertainty estimation based on monte carlo. Measurement Science Review, 12 (2), 40-45.10.2478/v10048-012-0009-6Search in Google Scholar

[7] D’Amato, R., Caja, J., Maresca, P., Gómez, E. (2014). Use of coordinate measuring machine to measure angles by geometric characterization of perpendicular planes. Estimating uncertainty. Measurement, 47, 598-606.10.1016/j.measurement.2013.09.027Search in Google Scholar

[8] Shi, Y.Q., Sun, C.K., Wang, P., Wang, Z., Duan, H.X. (2011). High-speed measurement algorithm for the position of holes in a large plane. Optics and Lasers in Engineering, 50 (12), 1828-1835.Search in Google Scholar

[9] Feng, M.C., Jin, Y., Zhai, C. (2011). Embedded realtime strain measurement system based on improved automated grid method. Chinese Journal of Scientific Instrument, 32 (12), 2874-2880.Search in Google Scholar

[10] Janusek, D., Kania, M., Zaczek, R., Zavala-Fernandez, H., Zbiec, A., Opolski, G., Maniewski, R. (2011). Application of wavelet based denoising for T-wave alternans analysis in high resolution ECG maps. Measurement Science Review, 11 (6), 181-184.10.2478/v10048-011-0036-8Search in Google Scholar

[11] Liu, Z.G., Zhai, C., Hu, H.Z., Wang, J.P., Chu, J.R. (2011). Research on calibration method of LAMOST fiber robot. In Astronomical Adaptive Optics Systems and Applications IV, Proc. SPIE 8149.10.1117/12.892989Search in Google Scholar

[12] Wang, M.X., Zhao, Y.H., Luo, A. (2012). LAMOST fiber unit positional precision passive detection exploiting the technique of template matching. In Modern Technologies in Space- and Ground-Based : Telescopes and Instrumentation II, Proc. SPIE 8450.Search in Google Scholar

[13] Barone, S., Paoli, A., Razionale, A.V. (2013). Multiple alignments of range maps by active stereo imaging and global marker framing. Optics and Lasers in Engineering, 51 (2), 116-127.10.1016/j.optlaseng.2012.09.003Search in Google Scholar

[14] Guidi, G., Beraldin, J.A., Ciofi, S., Atzeni, C. (2003). Fusion of range camera and photogrammetry: A systematic procedure for improving 3-D models metric accuracy. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, 33 (4), 667-676.10.1109/TSMCB.2003.81428218238216Search in Google Scholar

[15] Tao, C.V., Hu, Y. (2001). A comprehensive study of the rational function model for photogrammetric processing. Photogrammetric Engineering & Remote Sensing, 67 (12), 1347-1357.Search in Google Scholar

[16] Triggs, B., McLauchlan, P., Hartley, R., Fitzgibbon, A. (2000). Bundle adjustment-a modern synthesis. Vision Algorithms: Theory Practice, 1883, 298-372.10.1007/3-540-44480-7_21Search in Google Scholar

[17] Lourakis, M.I.A., Argyros, A.A. (2009). SBA: A software package for generic sparse bundle adjustment. ACM Transactions on Mathematical Software, 36 (1), 1-30.10.1145/1486525.1486527Search in Google Scholar

[18] Luhmann, T. (2010). Close range photogrammetry for industrial applications. ISPRS Journal of Photogrammetry and Remote Sensing, 65 (6), 558-569.10.1016/j.isprsjprs.2010.06.003Search in Google Scholar

[19] Mouragnon, E., Lhuillier, M., Dhome, M., Dekeyser, F., Sayd, P. (2009). Generic and real-time structure from motion using local bundle adjustment. Image and Vision Computing, 27 (8), 1178-1193.10.1016/j.imavis.2008.11.006Search in Google Scholar

[20] Agarwal, S., Snavely, N., Seitz, S., Szeliski, R. (2010). Bundle adjustment in the large. In Computer Vision - ECCV 2010, LNCS 6312, 29-42.10.1007/978-3-642-15552-9_3Search in Google Scholar

[21] Ji, Z., Boutin, M., Aliaga, D.G. (2006). Robust bundle adjustment for structure from motion. In IEEE International Conference on Image Processing. IEEE, 2185-2188.Search in Google Scholar

[22] Marquardt, D. (1963). An algorithm for the leastsquares estimation of nonlinear parameters. SIAM Journal of Applied Mathematics, 11 (2), 431-441.10.1137/0111030Search in Google Scholar

[23] Zhang, Y.Z. (2000). A flexible new technique for camera calibration. IEEE Transactions on Pattern Analysis and Machine Intelligence, 22 (11), 1330-1334.10.1109/34.888718Search in Google Scholar

[24] Tsai, M.J., Hung, C.C. (2005). Development of a highprecision surface metrology system using structured light projection. Measurement, 38 (3), 236-247.Search in Google Scholar

[25] Tsai, R.Y. (1987). A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the shelf TV cameras and lenses. IEEE Journal of Robotics and Automation, 3 (4), 323-344.10.1109/JRA.1987.1087109Search in Google Scholar

[26] Huang, J.J., Wang, Z., Gao, Z.H., Gao, J.M. (2011). A novel color coding method for structured light 3D measurement. In Videometrics, Range Imaging, and Applications XI, Proc. SPIE 8085.10.1117/12.889317Search in Google Scholar

[27] Weng, J., Cohen, P., Henriou, M. (1992). Camera calibration with distortion models and accuracy evaluation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 14 (10), 965-980.10.1109/34.159901Search in Google Scholar

[28] Hartley, R.I. (1997). In defense of the eight-point algorithm. IEEE Transactions on Pattern Analysis and Machine Intelligence, 19 (6), 580-593.10.1109/34.601246Search in Google Scholar

[29] Menudet, J.F., Becker, J.M., Fournel, T., Mennessier, C. (2008). Plane-based camera self-calibration by metric rectification of images. Image and Vision Computing, 26 (7), 913-934.10.1016/j.imavis.2007.10.005Search in Google Scholar

[30] Debei, S., Aboudan, A., Colombatti, G., Pertile, M. (2012). Lutetia surface reconstruction and uncertainty analysis. Planetary and Space Science, 71 (1), 64-72.10.1016/j.pss.2012.07.013Search in Google Scholar

[31] Feng, M.C., Gu, Y.G., Zhai, C. (2013). Precise measurement of fibers position using bundle adjustment algorithm. In IEEE International Instrumentation and Measurement Technology Conference. IEEE, 576-580. 10.1109/I2MTC.2013.6555482Search in Google Scholar

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