QU Yepin, ZHANG Chaoran, LYU Yuhai. Maximum likelihood pose estimation using machine vision[J]. Journal of Applied Optics, 2019, 40(2): 253-258. DOI: 10.5768/JAO201940.0202002
Citation: QU Yepin, ZHANG Chaoran, LYU Yuhai. Maximum likelihood pose estimation using machine vision[J]. Journal of Applied Optics, 2019, 40(2): 253-258. DOI: 10.5768/JAO201940.0202002

Maximum likelihood pose estimation using machine vision

More Information
  • Received Date: July 23, 2018
  • Revised Date: September 09, 2018
  • The existing pose estimation algorithms do not make any statistical assumptions on the sampled data, and lack the evaluation criteria. Aiming at this problem, based on the probability density function of the signal, we derived the general form of maximum likelihood pose estimation based on machine vision was and proved that the traditional iterative algorithm is equivalent to the maximum likelihood estimation using single imag ein the case of isotropic Gaussian noise.What's more, we derived the Cramér-Rao bound of pose estimation, which could be regarded as the variance low bound of any unbiased estimations. By the analysis of the simulation, the maximum likelihood method is much better than the traditional iterative method by using 10 pictures when noise power is greater than 5 dB, it proves that the performance of pose estimation can be improved by increasing the number of images.
  • [1]
    LI S Q, XU C. Efficient lookup table based camera pose estimation for augmented reality[J]. Computer Animation and Virtual Worlds, 2011, 22(1): 47-58. doi: 10.1002/cav.385
    [2]
    CAMPA G, MAMMARELLA M, NAPOLITANO M R, et al.A comparison of pose estimation algorithms for machine vision based aerial refueling for UAV[D]. US: IEEE, 2006.
    [3]
    汪启跃, 王中宇.基于单目视觉的航天器位姿测量[J].应用光学, 2017, 38(2): 250-255. doi: 10.5768/JAO201738.0203001

    WANG Qiyue, WANG Zhongyu. Position and pose measurement of spacecraft based on monocular vision[J]. Journal of Applied Optics, 2017, 38(2): 250-255. doi: 10.5768/JAO201738.0203001
    [4]
    LI S Q, XU C, XIE M. A robust O(n) solution to the perspective-n-point problem[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2012, 34(7): 1444-1450. doi: 10.1109/TPAMI.2012.41
    [5]
    LEPETIT V, MORENO-NOGUER F, FUA P. EPnP: an accurate O(n) solution to the PnP problem[J]. International Journal of Computer Vision, 2009, 81(2): 155-166. doi: 10.1007/s11263-008-0152-6
    [6]
    HMAM H, KIM J. Optimal non-iterative pose estimation via convex relaxation[J]. Image and Vision Computing, 2010, 28(11): 1515-1523. doi: 10.1016/j.imavis.2010.03.005
    [7]
    LOWE D G. Three-dimensional object recognition from single two-dimensional images[J]. Artificial Intelligence, 1987, 31(3): 355-395. doi: 10.1016/0004-3702(87)90070-1
    [8]
    陈鹏.基于单目视觉的像机位姿估计技术[D].北京: 北京科技大学, 2015. http://cdmd.cnki.com.cn/Article/CDMD-10008-1015565213.htm

    CHEN Peng. Monocular based camera pose estimation[D]. Beijing: University of Science and Technology Beijing, 2015. http://cdmd.cnki.com.cn/Article/CDMD-10008-1015565213.htm
    [9]
    LU C P, HAGER G D, MJOLSNESS E. Fast and globally convergent pose estimation from video images[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2000, 22(6): 610-622. doi: 10.1109/34.862199
    [10]
    李鑫, 龙古灿, 刘进博, 等.相机位姿估计的加速正交迭代算法[J].光学学报, 2015, 35(1):258-265. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gxxb201501030

    LI Xin, LONG Gucan, LIU Jinbo, et al. Accelerative orthogonal iteration algorithm for camera pose estimation[J]. Acta Optica Sinica, 2015, 35(1): 258-265. http://www.wanfangdata.com.cn/details/detail.do?_type=perio&id=gxxb201501030
    [11]
    SCHWEIGHOFER G, PINZ A.Robust pose estimation from a planar target[J].IEEE Transactions on Pattern Analysis and Machine Intelligence, 2006, 28(12):2024-2030. doi: 10.1109/TPAMI.2006.252
    [12]
    罗鹏飞, 张文明, 刘忠, 等.统计信号处理基础[M].北京:电子工业出版社, 2014:155-202.

    LUO Pengfei, ZHANG Wenming, LIU Zhong, et al.Fundamentals of statistical signal processing[M].Beijing:Publishing House of Electronics Industry, 2014:155-202.
    [13]
    STOICA P, NEHORIA A.Mode, maximum likelihood, and Cramér-Rao bound: conditional and unconditional results[D]. New Haven: Center for Systems Science Yale University, 1989.
    [14]
    FRIEDLANDER B, PORAT B. The exact Cramer-Rao bound for Gaussian autoregressive processes[J]. IEEE Transactions on Aerospace and Electronic Systems, 1989, 25(1): 3-7. doi: 10.1109/7.18656
    [15]
    VAN TREES H L.Detection, estimation, and modulation theory, Part VI[M]. New York:Wiley Interscience, 2001:689-785
  • Related Articles

    [1]WU Fengbo, LIU Yao, ZHU Daixian, WANG Mingbo. Particle filter algorithm based on whale swarm optimization[J]. Journal of Applied Optics, 2021, 42(5): 859-866. DOI: 10.5768/JAO202142.0502006
    [2]LI Yuqi, ZHAO Haitao. Depth estimation based on adaptive fusion of infrared and visible light images progressively[J]. Journal of Applied Optics, 2020, 41(1): 24-32. DOI: 10.5768/JAO202041.0101004
    [3]QU Yepin, ZHANG Chaoran, LYU Yuhai. Maximum likelihood pose estimation using machine vision[J]. Journal of Applied Optics, 2019, 40(2): 253-258. DOI: 10.5768/JAO201940.0202002
    [4]LIU Xiaomin, MA Zhibang, WANG Qiancheng, DU Mengzhu, ZHU Yunfei, MA Fengying, LIANG Erjun. Compression light field reconstruction and depth estimation[J]. Journal of Applied Optics, 2019, 40(2): 179-185. DOI: 10.5768/JAO201940.0201001
    [5]Nie Peiwen, Liu Enhai, Wang Wanping, Tian Hong. Weighted on-orbit calibration method of principal point and focal length for star sensor[J]. Journal of Applied Optics, 2018, 39(6): 827-831. DOI: 10.5768/JAO201839.0601009
    [6]LEI Fei-lin, LIU Jian-wei, WU Yu-jing, ZHAO Chuang-she, SANG Wei, WANG Xin-wei. Application of Kalman filter based fiber opticgyroscope in airborne electro-optical system[J]. Journal of Applied Optics, 2013, 34(1): 188-192.
    [7]ZHANG Yan, QIU Tian-shuang, REN Fu-quan. Robust time delay estimation of distributed optical fiber sensor system[J]. Journal of Applied Optics, 2012, 33(4): 815-820.
    [8]TIAN Jun-wei, SHANG Ya-ceng, WANG Hong-xi, CHENG Gang. Boundary tracking algorithm based on direction estimation[J]. Journal of Applied Optics, 2011, 32(3): 441-445.
    [9]LI Hong-guang, YU Yun-qi, SONG Ya-min. Application of optimal control for stabilization loop of vehicle inertial platform[J]. Journal of Applied Optics, 2007, 28(3): 251-256.
    [10]HONG Han-yu, YU Jiu-yang, CHEN Yi-chao, YI Xin-jian. Optimization restoration algorithm for infrared object turbulencedegraded image[J]. Journal of Applied Optics, 2006, 27(6): 510-515.

Catalog

    Article views (1086) PDF downloads (39) Cited by()

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return