An Analytical Orientation of a Pair of Two-Medium Photographs according to the Successive Orientation

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  • 接続標定法に基づく1対の2層写真の解析的標定法およびその実験的検討
  • セツゾクヒョウ ジョウホウ ニ モトズク 1ツイ ノ 2ソウ シャシン ノ カイセキテキヒョウ ジョウホウ オヨビ ソノ ジッケンテキ ケントウ

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A new analytical orientation method for two-medium photopairs at plane and curved interfaces is derived and results of the experimental tests are discussed in this paper.<BR>The relative orientation is based upon the theory of the successive orientation, and the unknowns are the five exterior orientation elements of the right picture and the coefficients of a equation for refractive surfaces. Then the number of relative orientation elements is eight when the refractive interface is plane, and increases when the refractive surface is curved. The absolute orientation is performed as usually with the spacial similar transformation.<BR>The method proposed was tested with two experimental models and a few of new facts became known for the model method in the orientation problem in the two-medium photogrammetry. The first phenomenon is that the accuracy to be obtained depends upon the way how to select unknowns in the relative orientation because there are great correlations between the unknowns. It has been experienced in these practical researches that the relative orientation based upon the successive orientation has a relatively better accuracy than the independent model method. The second is that the arrangement of orientation points and measurement errors of image coordinates have a extremely great influence upon the accuracy of the model method. Especially, if orientation points have small height differences the unknowns in relative orientation can not be determined from the intersection condition of corresponding refractive rays. A orientation method to calculate the relative orientation elements approximately and to determine underwater points with a high accuracy is proposed to avoid the difficulties described above. This approximation method was tested with the same experimental models and proved to have a good accuracy.

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