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Articles

A novel solution to planar feature-constrained, dual quaternion-based registration method for point clouds

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Pages 65-77 | Received 12 Apr 2022, Accepted 29 Mar 2023, Published online: 19 Apr 2023

References

  • Amini, K. and Rostami, F., 2016. Three-steps modified Levenberg–Marquardt method with a new line search for systems of nonlinear equations. Journal of computational and applied mathematics, 300, 30–42.
  • Bosché, F., 2012. Plane-based registration of construction laser scans with 3D/4D building models. Advanced engineering informatics, 26, 90–102.
  • Chang, G.B., 2016. Closed form least-squares solution to 3D symmetric Helmert transformation with rotational invariant covariance structure. Acta geodaetica et geophysica, 51 (2), 237–244.
  • Chen, S.L., et al., 2020. PLADE: a plane-based descriptor for point cloud registration with small overlap. IEEE transactions on geoscience and remote sensing, 58, 2530–2540.
  • Chen, L. and Ma, Y., 2020. Shamanskii-Like Levenberg-Marquardt method with a new line search for systems of nonlinear equations. Journal of systems science & complexity, 33, 1694–1707.
  • Chen, J.Z., Yuan, J.P., and Fang, Q., 2008. Flight vehicle attitude determination using the modified Rodrigues parameters. Chinese journal of aeronautics, 21 (5), 433–440.
  • Chuang, T.Y. and Jaw, J.J., 2017. Multi-feature registration of point clouds. Remote sensing, 9 (3), 281.
  • Dong, Z., et al., 2020. Registration of large-scale terrestrial laser scanner point clouds: a review and benchmark. ISPRS journal of photogrammetry and remote sensing, 163, 327–342.
  • El-Habiby, M.M., Gao, Y., and Sideris, M.G., 2009. Comparison and analysis of non-linear least squares methods for 3-D coordinates transformation. Survey review, 41, 26–43.
  • Fan, J.Y. and Yuan, Y.X., 2005. On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption. Computing, 74, 23–39.
  • Felus, Y.A. and Burtch, R.C., 2009. On symmetrical three-dimensional datum conversion. GPS solutions, 13 (1), 65–74.
  • Grafarend, E.W. and Awange, J.L., 2003. Nonlinear analysis of the three-dimensional datum transformation. Journal of geodesy, 77, 66–76.
  • Grant, D., Bethel, J., and Crawford, M., 2012. Point-to-plane registration of terrestrial laser scans. ISPRS journal of photogrammetry and remote sensing, 72, 16–26.
  • Guo, Y.L., et al., 2015. A novel local surface feature for 3D object recognition under clutter and occlusion. Information sciences, 293, 196–213.
  • Han, J.Y., 2010. Noniterative approach for solving the indirect problems of linear reference frame transformations. Journal of surveying engineering, 36, 150–156.
  • He, F.N. and Habib, A., 2016. A closed-form solution for coarse registration of point clouds using linear features. Journal of surveying engineering, 142, 04016006.
  • Horn, K.P.B., 1987. A closed-form solution of absolute orientation using unit quaternions. Journal of the optical society of America, 4, 629–642.
  • Kurt, O., 2018. An integrated solution for reducing ill-conditioning and testing the results in non-linear 3D similarity transformations. Inverse problems in science and engineering, 26, 708–727.
  • Lin, Y.R. and Deng, Z.L., 2004. Extended Kalman filtering for satellite orbital attitude estimation based on Gibbs vector. Journal of guidance control and dynamics, 27 (3), 509–511.
  • Liu, S.J., et al., 2016. A linear feature-based approach for the registration of unmanned aerial vehicle remotely-sensed images and airborne LiDAR data. Remote sensing, 8, 82.
  • Mahboub, V., 2016. A weighted least-squares solution to a 3-D symmetrical similarity transformation without linearization. Studia geophysica Et geodaetica, 60 (2), 195–209.
  • Onunka, C., Bright, G., and Stopforth, R., 2016. USV attitude estimation: an approach using quaternion in direction cosine matrix. Robotica, 34 (5), 995–1009.
  • Peng, X., Shi, X.P., and Gong, Y.P., 2019. Dual-quaternion-based modeling and control for motion tracking of a tumbling target. Journal of systems engineering and electronics, 30, 985–994.
  • Previtali, M., et al., 2014. Laser scan registration using planar features. The international archives of the photogrammetry, remote sensing and spatial information sciences, 40, 501–508.
  • Shen, Y.Z., Chen, Y., and Zheng, D.H., 2006. A quaternion-based geodetic datum transformation algorithm. Journal of geodesy, 80, 233–239.
  • Sheng, Q.H., et al., 2015. Relative orientation dependent on dual quaternions. The photogrammetric record, 30 (151), 300–317.
  • Sheng, Q.H., et al., 2020. Line matching of point clouds based on encoded asymmetric boundary. IEEE geoscience and remote sensing letters, 17, 1983–1987.
  • Walker, M.W., Shao, L., and Volz, R.A., 1991. Estimating 3-D location parameters using dual number quaternions. CVGIP: image understanding, 54, 358–367.
  • Wang, Y.B., et al., 2014. A dual quaternion-based, closed-form pairwise registration algorithm for point clouds. ISPRS journal of photogrammetry and remote sensing, 94, 63–69.
  • Wang, Q.X., et al., 2016. Representation of the rotation parameter stimation errors in the Helmert transformation model. Survey review, 50 (358), 69–81.
  • Wang, Y.B., et al., 2021. A closed-form solution to linear feature-based registration of LiDAR point clouds. Remote sensing, 13, 3571.
  • Wang, Y.B., Zheng, N.S., and Bian, Z.F., 2020. Planar feature-constrained, quaternion-based registration algorithm for LiDAR point clouds. Acta optica sinica, 40, 2310001.
  • Wen, C.L., et al., 2018. Line structure-based indoor and outdoor integration using backpacked and TLS point cloud data. IEEE geoscience and remote sensing letters, 15, 1790–1794.
  • Wu, H.B. and Fan, H.C., 2016. Registration of airborne LiDAR point clouds by matching the linear plane features of building roof facets. Remote sensing, 8, 447.
  • Xu, Y., et al., 2017. Automated coarse registration of point clouds in 3D urban scenes using voxel based plane constraint. ISPRS annals of the photogrammetry, remote sensing and spatial information sciences, 4, 185.
  • Yamashita, N. and Fukushima, M., 2001. On the rate of convergence of the Levenberg-Marquardt method. Computing supplementa, 15, 239–249.
  • Yun, D., et al., 2015. Automated registration of multi-view point clouds using sphere targets. Advanced engineering informatics, 29, 930–939.
  • Zeng, H.E., 2015. Analytical algorithm of weighted 3D datum transformation using the constraint of orthonormal matrix. Earth planets & space, 67, 105.
  • Zeng, H.E., et al., 2019. Iterative solution of Helmert transformation based on a unit dual quaternion. Acta geodaetica et geophysica, 54, 123–141.
  • Zeng, H.E., et al., 2020. WTLS iterative algorithm of 3D similarity coordinate transformation based on Gibbs vectors. Earth, planets & space, 72, 1–12.
  • Zeng, H.E. and Yi, Q.L., 2011. Quaternion-based iterative solution of three-dimensional coordinate transformation problem. Journal of computers, 6, 1361–1368.

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