1 Gelman R.N.
2 Nikitin A.V.

Lomonosov Moscow State University (MSU)


Space Research Institute

A description of methods for measuring the radius of curvature of any surface of revolution without the use of special devices and direct contact with the object is given. The method the minimum number of linear and angular measurements at a single point of tool is based on. The height of the cross section for which the radius of curvature is determined can be different with respect to the standpoint. The method in the photogrammetric version, when the main measurements taking from a photograph and a purely geodetic using traditional instrument, can be used. At azimuth geodetic option disappear the process of measuring the image and the issues associated with camera calibration, but requires bulky and expensive equipment as well as additional measurement of angles. Photogrammetric method is more suitable in urban environments due to its simplicity and speed. The justification of the tolerances during installation of the camera is given; a simplified method for its calibration is given; as well as an example of using the photogrammetric method for measuring a real object.
1.   Gelman R.N., Nikitin A.V. (2012) On simplified calibration of digital cameras. Geodezia i Kartografia, (8), pp. 33-38.
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3.   Soustin V.N. (1970) O metodah opredelenija radiusa i koordinat centra sooruzhenij, imejushhih v plane formu kruga. Geodesy and Cartography, 31(12), pp. 40–43.
4.   Shekhovtsov G.A., Shekhovtsova R.P., Raskatkina O.V. (2016) A linear method for determining the radius of the circular shape structures. Geodezia i Kartografia, (11), pp. 11–15. (In Russian). DOI: 10.22389/0016-7126-2016-917-11-11-15.
Gelman R.N., 
Nikitin A.V., 
(2017) Radius measurement of a revolution surface: photogrammetric and geodetic variants. Geodesy and cartography = Geodezia i Kartografia, 78(9), pp. 30-36. (In Russian). DOI: 10.22389/0016-7126-2017-927-9-30-36
Publication History
Received: 12.04.2017
Accepted: 05.06.2017
Published: 19.10.2017


2017 September DOI: