• 1990 (Vol.4)
  • 1989 (Vol.3)
  • 1988 (Vol.2)
  • 1987 (Vol.1)

Accuracy of the coordinates for underlying surface based on photogrammetric measurements of the images with an oblique projection

© 2022 A. V. Kvasnov

Peter the Great St. Petersburg Polytechnic University (SPbPU), 195251 Saint-Petersburg, Polytechnicheskaya, 29, Russia

Received 20 Nov 2021

The article presents a study on the estimation of the coordinates for the ground surface based on photogrammetric measurements using cameras with an oblique image projection. The aim of paper is analysis of multispectral images, which allow finding the zones with potential accuracy using photogrammetric measurements. A theoretical problem has been formed and an analytical solution for calculating coordinates has been implemented within the framework of projective geometry. It is shown that the influence of the Earth’s curvature does not exceed 1% of the expected accuracy. When the longitudinal coordinate of the photograph changes to the horizon line, the measurement accuracy is significantly reduced and does not exceed 5-10% of the possible range. In the article, simulation modeling for the estimation of coordinates is carried out and the technology for creating a photogrammetric ruler for photographic images is demonstrated.

Key words: photogrammetry, remote sensing,, aerial photography, oblique projection, projective geometry

DOI: 10.31857/S0235009222030039

Cite: Kvasnov A. V. Tochnost opredeleniya koordinat nadvodnoi poverkhnosti na osnove fotogrammetricheskikh izmerenii snimka s naklonnoi proektsiei [Accuracy of the coordinates for underlying surface based on photogrammetric measurements of the images with an oblique projection]. Sensornye sistemy [Sensory systems]. 2022. V. 36(3). P. 262–274 (in Russian). doi: 10.31857/S0235009222030039


  • Gavrilova L.A., Limonov A.N. Prikladnaya fotogrammetriya (izd. uchebnik dlya vuzov). [Applied photogrammetry: textbook for universities]. M.: Academic Project. 2016. 255 p.(in Russia).
  • Kvasnov A.V. Otsenka postroeniya trassy radiolokatsionnoi tseli nepo-dvizhnym luchom AFAR v dal’nei zone nablyudeniya [Estimation of tracking target using a fixed beam active phased array radar in far-field region]. Radiotekhnika [Radio engineering]. 2017. No. 2. P. 4–12 (in Russia).
  • Kvasnov A.V. Opredelenie dal’nosti do istochnika radioizlucheniya po energopotentsialu prinimaemogo signala [Method of determine the distance for radar emitting source by the energy potential of the received signal]. Datchiki i sistemy [Sensors and systems]. 2020. V. 243. No. 1. P. 29–34 (in Russia).
  • Kvasnov A.V. Issledovanie informacionnoj polnoty radiolokacionnyh dannyh v zadachah klassifikacii tochechnyh vozdushnyh ob'ektov [Study of information completeness of radar data for air target classification. Zhurnal radioelektroniki [elektronnyj zhurnal] [Journal of Radio Electronics] [electronic journal]. 2021. № 11 (in Russia).
  • Kvasnov A.V. Sintez optimal’nogo regulyatora dlya upravleniya dvizheniem bortovoj radiolokacionnoj sistemy pri otslezhivanii sverhzvukovyh celej [Synthesis of optimal regulator for motion control on-board radar system for tracking supersonic purposes]. Informacionnoizmeritel’nye i upravlyayushchie sistemy [Informationmeasuring and control systems]. 2015. V. 13. No. 2. P. 55–62 (in Russia).
  • Lobanov A.N. Fotogrammetriya: uchebnik dlya vuzov (izd. 2-e izd. pererab. i dop.) [Photogrammetry: Textbook for universities (ed. 2nd ed. reprint. and add.)]. M.: Nedra. 1984. 552 p. (in Russia).
  • Obiralov A.I., Limonov A.N., Gavrilova L.A. Fotogrammetriya i distantsionnoe zondirovanie [Photogrammetry and remote sensing]. M.: Koloss. 2006. 334 p. (in Russia).
  • Khabarova I.A., Khabarova D.A., Yavorskaya I.D., Ivanov I.N. Obzor sovremennykh dostizhenii v fotogrammetrii i aerofotos'emke [Review of modern achievements in photogrammetry and aerial photography]. Mezhdunarodnyi zhurnal prikladnykh nauk i tekhnologii “Integral” [International Journal of Applied Sciences and Technologies “Integral”]. 2019. V. 4. No. 2. P. 15–33. (in Russia).
  • Khlebnikova T.A., Opritova O.A., Aubakirova S.M. Eksperimental’nye issledovaniya tochnosti postroeniya fotogrammetricheskoi modeli po materialam BPLA '[Experimental studies of the accuracy of constructing a photogrammetric model based on UAV materials]. Interekspo Geo- Sibir [Interexpo Geo-Siberia]. 2018. V. 1. No. 4. P. 32–37 (in Russia).
  • Colomina I., Molina P. Unmanned aerial systems for photogrammetry and remote sensing: a review. ISPRS Journal of Photogrammetry and Remote Sensing 2014. № 92. P. 79–97.
  • Hsu C.C.J., Lu M.C., Lu Y.Y. Distance and Angle Measurement of Objects on an Oblique Plane Based on Pixel Number Variation of CCD Images. IEEE Transaction on Instrumantation and Measurement, 2011. V. 60. № 5. P. 1779–1794.
  • Kvasnov A.V., Shkodyrev V.P. A classification technique of group objects by artificial neural networks using estimation of entropy on synthetic aperture radar images. Journal of Sensors and Sensor Systems. 2021. V.10. № 1. P. 127–134.
  • Liu J., Xu W., Guo B., Zhou G., Zhu H. Accurate Mapping Method for UAV Photogrammetry Without Ground Control Points in the Map Projection Frame. IEEE Transaction on Geoscience and Remote Sensing. 2021. V. 59. № 11. P. 9673–9681.
  • Lu M.C., Hsu C.C., Lu Y.Y. Image-Based System for Measuring Objects on an Oblique Plane and Its Applications in 2-D Localization. IEEE Sensors journal. 2012. № 12. P. 2249–2261.
  • Rau J., Jhan J., Hsu Y. Analysis of Oblique Aerial Images for Land Cover and Point Cloud Classification in an Urban Environment. IEEE Transactions on Geoscience and Remote Sensing. 2015. N 53 (3). P. 1304–1319.
  • Shen X., Zhang Y., Li Q. Accurate direct georeferencing of aerial imagery in national coordinates. ISPRS Journal of Photogrammetry and Remote Sensing. 2015. № 105. P. 13–18.
  • Telling J., Lyda A., Hartzell P., Glennie C. Review of Earth science research using terrestrial laser scanning. EarthScience Reviews. 2017. № 169. P. 35–68.
  • Zhao H., Zhang B., Wub C., Zuo Z., Chen Z., Bi J. Direct georeferencing of oblique and vertical imagery in different coordinate systems. ISPRS Journal of Photogrammetry and Remote Sensing/ 2014. № 95. P. 122–133.
  • Zhou G., Bao X., Ye S., Wang H., Yan H. Selection of Optimal Building Facade Texture Images From UAVBased Multiple Oblique Image Flows. IEEE Transactions on Geoscience and Remote Sensing/ 2021. V. 59. № 2. P. 1534–1552.