Acta Geodaetica et Cartographica Sinica >

2016 , Vol. 45 >Issue 2: 186 - 193

DOI: https://doi.org/10.11947/j.AGCS.2016.20140643

Dual Quaternion Method to Solve Exterior Orientation Parameters for Satellite Linear Array Images

  • YU Anzhu ,
  • JIANG Ting ,
  • GONG Hui ,
  • GUO Wenyue ,
  • JIANG Gangwu
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  • 1. Institute of Surveying and Mapping, Information Engineering University, Zhengzhou 450052, China;
    2. Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, China

Received date: 2014-12-10

  Revised date: 2015-08-28

  Online published: 2016-02-29

Supported by

The National Natural Science Foundation of China (Nos.41201477;41471387;41301526)

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Abstract

According to the characteristics that dual quaternion can describe the position and orientation simultaneously, a method using dual quaternion to calculate the exterior orientation parameters for satellite linear array images is proposed. In this method the real part of dual quaternion is used to represent attitude of the sensor, and both the real part and the dual part are used to represent the position of the sensor.The model describing exterior parameters is established by interpolating the position and attitude. To reduce calculation, the simplified spherical linear interpolation algorithm is proposed, and the geometric model is established.In order to calculate the exterior parameters, the collinear equation is linearized at first. Then the virtual observation equations for position parameters are deduced according to the theory of matrix derivative, and the weight of the equation is calculated using error propagation principle. The exterior orientation parameters are calculated iteratively using parameter adjustment with constraints at last. Experimental results indicate that the proposed method is reliable and correct, and the precision of parameter estimation is higher than traditional methods using Euler angles or unit quaternion. The necessity of accuracy initial values and virtual observation equations for calculating exterior parameters is also revealed.

Key words： dual quaternion; linear array images; virtual observation equation; exterior orientation parameters; unit quaternion

Cite this article

YU Anzhu , JIANG Ting , GONG Hui , GUO Wenyue , JIANG Gangwu . Dual Quaternion Method to Solve Exterior Orientation Parameters for Satellite Linear Array Images[J]. Acta Geodaetica et Cartographica Sinica, 2016 , 45(2) : 186 -193 . DOI: 10.11947/j.AGCS.2016.20140643

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