Coplanarity Condition for Photogrammetric Simultaneous and Self Calibration Block Adjustments

Authors

  • Dr. Khalid L. A. El-Ashmawy College of Engineering and Islamic Architecture, Saudi Arabia

DOI:

https://doi.org/10.31695/IJASRE.2021.33970

Keywords:

Collinearity Equations, Coplanarity Equation, Simultaneous Block Adjustments, Self Calibration Block Adjustments, Accuracy Analysis

Abstract

The well-known collinearity equations are widely employed for the determination of object space coordinates of points during the aerial and close-range photogrammetry applications. On the other hand, the coplanarity equation is applied for analytical relative orientation which is essential for sequential block adjustment procedure.

This paper concentrates on deriving mathematical formulation based on coplanarity condition. Softwares utilizing the derived mathematical models have been developed and tested using mathematical photogrammetric data.

The effects of random and lens distortion errors on simultaneous and self-calibration block adjustments using the derived mathematical models and collinearity equations have been studied.

It was found that the derived mathematical models compensate for the lens distortion errors better than collinearity equations. Furthermore, the accuracy of the results of self-calibration block adjustment using the coplanarity equation is slightly better than those obtained by collinearity equations.

References

S. Ghosh, Fundamentals of Computational Photogrammetry, Concept Publishing Company, New Delhi, India, 2005.

P. Wolf, B. Dewitt and B. Wilkinson, Elements of Photogrammetry with Applications in GIS, Fourth Edition. McGraw-Hill Education, 2014.

K. El-Ashmawy "Photogrammetric block adjustment without control points", Geodesy and cartography. 44. 6-13. https://doi.org/10.3846/gac.2018.880, 2018.

K. El-Ashmawy "A Cost-Effective Photogrammetric System for Engineering Applications", Ph.D. Thesis, Department of Civil Engineering, University of Roorkee, Roorkee, India, 1999.

K. El-Ashmawy, "Using direct linear transformation (DLT) method for aerial photogrammetry applications", Geodesy and cartography. 44. 71-79. https://doi.org/10.3846/gac.2018.1629, 2018

Y. Zhang, and M. Zheng, "BUNDLE BLOCK ADJUSTMENT WITH SELF-CALIBRATION OF LONG ORBIT CBERS-02B IMAGERY", International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume XXXIX-B1, XXII ISPRS Congress, 25 August – 01 September 2012, Melbourne, Australia, 2012

Y. Bo, "Accuracy Validation of Large-scale Block Adjustment without Control of ZY3 Images over China", ISPRS Annals of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume III-1, 2016

K. Di, Y. Liu, B. Liu, M. Peng, and W. Hu, "A Self-Calibration Bundle Adjustment Method for Photogrammetric Processing of Chang E-2 Stereo Lunar Imagery", IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, VOL. 52, NO. 9, SEPTEMBER 2014

R. Rostom, Patterns of Aerial Triangulation by Independent Models, Department of Geospatial and Space Technology, University of Nairobi, Kenya, 1992.

S. Ghosh, Phototriangulation, Lexington Books; Lexington, Mass, 1975.

E. Mikhail, S. James, and J. Chris, Introduction to Mordern Photogrammetry, John Wiley & Sons,Inc. U.S.A, 2001

S. Joag, An Introduction to Vectors, Vector Operators and Vector Analysis, Cambridge University Press, Daryaganj, Delhi, India, 2016.

C. GHILANI and P. WOLF, ADJUSTMENT COMPUTATIONS: Spatial Data Analysis, 6th Edition. JOHN WILEY & SONS, IN., 2017

M. Mikhail, Observations and Least-squares, Thomas Y. Crowel Company, Inc., 1983.

D. Malik, Data Structures Using C++, Second Edition. Cengage Learing, Inc., USA, 2010.

H. Schildt, Turbo C/C++: The Complete Reference, Second Edition. McGraw-Hill,Inc., USA,1992.

K. Gregory, Special Edition Using Visual C++ 6, Que, USA, 1998.

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How to Cite

Dr. Khalid L. A. El-Ashmawy. (2021). Coplanarity Condition for Photogrammetric Simultaneous and Self Calibration Block Adjustments. International Journal of Advances in Scientific Research and Engineering (IJASRE), ISSN:2454-8006, DOI: 10.31695/IJASRE, 7(2), 1–14. https://doi.org/10.31695/IJASRE.2021.33970

Issue

Vol. 7 No. 2 (2021): February-2021

Section

Articles

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Copyright (c) 2021 Dr. Khalid L. A. El-Ashmawy

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.