Comparative Analysis of Two Different Adjustment Techniques as Applied to The Least Squares Processing of The Direct Linear Transformation (DLT)
A. Rahil1, Alwitaishi M.2, Kamel M. A.3, N. M. W. Al-Bustami4
1A Rahil, Prof., Department of Civil Eng., Taif University/ College of Engineering, Taif, KSA, Permanent Address: Civil Eng. Dept. College of Eng., Minoufiya University, Sheben El Kom, Egypt.
2Al Witaishi, M., Assistant Prof., Department of Arch. Eng., Taif University/ College of Engineering, Taif, KSA.
3Kamel M. A., Assistant Prof., Department of Civil Eng., Taif University/ College of Engineering, Taif, KSA, Permanent Address: Public Works Dept., Faculty of Eng., Mansoura University, Mansoura, Egypt.
4N. M. W. Al-Bustami Assistant Prof., Department of Civil Eng., Taif University/ College of Engineering, Taif, KSA.
Manuscript received on 13 April 2017 | Revised Manuscript received on 20 April 2017 | Manuscript Published on 30 April 2017 | PP: 187-192 | Volume-6 Issue-4, April 2017 | Retrieval Number: D4954046417/17©BEIESP
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: A simple method for close range photogrammetric data reduction with non- metric cameras developed by Abdel Aziz and Karara [ ], it establishes the direct linear transformation (DLT) between coordinates of image points, and the corresponding object- space coordinates. This paper concentrates on the method of least squares as a method for adjusting the non-linear transformation equations. Hence, there are two different adjustment techniques that can be used to the processing of the non-linear transformation equations; namely: mixed and parametric least square adjustment techniques. The two different adjustment techniques are applied for two different geometry; namely double station geometry and multi-station geometry. In this study, two different iterative least – squares adjustment techniques are developed to solve the nonlinear transformation equations incorporated with distortion corrections. The results from the two different adjustment techniques will be discussed and analyzed. The obtained results showed the superiority of the mixed adjustment technique especially in the multi- station geometry. Therefore, the least squares mixed adjustment technique is recommended to be used for solving the non-linear transformations incorporated with distortion corrections
Keywords: About Four Key Words or Phrases in Alphabetical Order, Separated by Commas.
Scope of the Article: Transformation