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Study on Solution Space for Visual Positioning Algorithm from Linear Features
Corresponding Author(s) : Lijuan Qin
Asian Journal of Chemistry,
Vol. 26 No. 11 (2014): Vol 26 Issue 11
Abstract
New solution method is presented for vision positioning method from straight lines intersecting at two spatial points. The solution method has fast calculation and can guarantee the uniqueness for solution. Application of this method is to satisfy precondition of monotony. This paper studies the geometry of space and gives sufficient proof of the monotonic the algorithm satisfies in the geometric range. In the spatial distribution of linear feature, geometric space can guarantee the convergence of the method. Thus, it can provide sufficient theoretical basis for the practical application of designed iterative method. Meanwhile, it can ensure the calculation speed and the uniqueness of solving methods. Simulation results show that iterative method can converge to right solution in the geometric space and has rapid iteration speed.
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- J.H. Qiu, M.X. Shen, J.H. Cong and L.G. Li, J. Zhejiang Forestry College, 27, 65 (2010).
- X.Z. Tang, Z.M. Sun and X.L. Jia and D. He, Geogr. Spatial Inform., 10, 100 (2012).
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- T.Q. Phong, R. Horaud, A. Yassine and P.D. Tao, Int. J. Comput. Vis., 15, 225 (1995); doi:10.1007/BF01451742..
- J.S.-C. Yuan, IEEE Trans. Robot. Autom., 5, 129 (1989); doi:10.1109/70.88034.
- Y. Liu, T.S. Huang and O.D. Faugeras, IEEE Trans. Pattern Anal. Mach. Intell., 12, 28 (1990); doi:10.1109/34.41381.
- S. Christy and R. Horaud, Comput. Vis. Image Underst., 73, 137 (1999); doi:10.1006/cviu.1998.0717.
- L.J. Qin and F. Zhu, IEEE International Conference on Information and Acquirement, p. 26 (2006).
- L.J. Qin and Y. L. Hu, Adv. Mater. Res., 186, 650 (2011); doi:10.4028/www.scientific.net/AMR.186.650.
- L.J. Qin, Y.L. Hu, Y.Z. Wei, Y. Zhou and H. Wang, Chinese Control and Decision Conference, pp. 258-263 (2008).
- L.J. Qin, J. Shenyang Ligong Univ., 32, 1 (2013).
References
J.H. Qiu, M.X. Shen, J.H. Cong and L.G. Li, J. Zhejiang Forestry College, 27, 65 (2010).
X.Z. Tang, Z.M. Sun and X.L. Jia and D. He, Geogr. Spatial Inform., 10, 100 (2012).
Y.X. Han, Z.S. Zhang and M. Dai, Optics Precision Eng., 19, 1110 (2011).
S.J. He, Z.Y. Liu and J.Q. Shi, Computer Applications, 32, 2556 (2012); doi:10.3724/SP.J.1087.2012.02556..
T.Q. Phong, R. Horaud, A. Yassine and P.D. Tao, Int. J. Comput. Vis., 15, 225 (1995); doi:10.1007/BF01451742..
J.S.-C. Yuan, IEEE Trans. Robot. Autom., 5, 129 (1989); doi:10.1109/70.88034.
Y. Liu, T.S. Huang and O.D. Faugeras, IEEE Trans. Pattern Anal. Mach. Intell., 12, 28 (1990); doi:10.1109/34.41381.
S. Christy and R. Horaud, Comput. Vis. Image Underst., 73, 137 (1999); doi:10.1006/cviu.1998.0717.
L.J. Qin and F. Zhu, IEEE International Conference on Information and Acquirement, p. 26 (2006).
L.J. Qin and Y. L. Hu, Adv. Mater. Res., 186, 650 (2011); doi:10.4028/www.scientific.net/AMR.186.650.
L.J. Qin, Y.L. Hu, Y.Z. Wei, Y. Zhou and H. Wang, Chinese Control and Decision Conference, pp. 258-263 (2008).
L.J. Qin, J. Shenyang Ligong Univ., 32, 1 (2013).