Simplifying of DLT Equations for a Single Digital Image and its Application in Architectural Façades Documentation
Mohamed A. M. Abbas1, Ibrahim F. Shaker2, Ahmed K. Abdel-Gawad3, Alaa Al Din I. Awad4

1Mohamed A. M. Abbas*, Researcher, Public Works Department of Faculty of Engineering, Ain Shams University, Egypt.
2Ibrahim F. Shaker, Professor, Department of Faculty of Engineering, Ain Shams University, Egypt.
3Ahmed K. Abdel-Gawad, Professor, Department of Civil Engineering, National Research Centre, Egypt.
4Alaa Al Din I. Awad, Assistant Professor of Ssurveying, Public Works Department, Faculty of Engineering, Ain Shams University, Egypt.
Manuscript received on January 26, 2020. | Revised Manuscript received on February 05, 2020. | Manuscript published on February 30, 2020. | PP: 2120-2127 | Volume-9 Issue-3, February 2020. | Retrieval Number: C4736029320/2020©BEIESP | DOI: 10.35940/ijeat.C4736.029320
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Abstract: Survey of architectural façades to obtain elevation drawings is an essential, especially in case of maintenance, restoration, …etc. On the other hand, the rapid progress of the obtained image size captured by digital cameras opens new areas for the captured images to be used in photogrammetry. One of these new areas is the use of a single digital image for surveying and recording of architectural façades. So, the main objective of the current research is to develop a computer algorithm using least squares adjustment method for studying the practical visibility, applicability, and accuracy of using a single digital image captured by a digital camera in surveying architectural façades. To achieve the above-mentioned goal, simplified formulas obtained from collinearity condition, the basis of the Direct Linear Transformation model (DLT), to suit the architectural façades conditions, which is the façade lies in one vertical plane. The obtained formulas showed that eight transformation parameters are required (needed) between the architectural façade and the captured image. Hence, the eight parameters can be computed using four common points or more. So, two field experiments were made on two architectural façades to test the practical visibility, applicability, and accuracy of the supposed technique. The obtained results proved the success of the supposed technique and its related computer algorithm in the survey and the record of the vertical architectural façades.
Keywords: Computer Algorithm, Direct Linear Transformation, Façade Documentation, Photogrammetry, Single Digital Image, Surveying.