The paper proposes and investigates the method of measuring the height of the cloud base using the stereo pair of images taken using two digital cameras. The method of determination of camera orientation parameters required to solve the problem uses images of the night star sky. To calculate the distance to the cloud, the image shift of a fragment of the cloud as a whole is used. The selection of the fragment in the photos is performed using methods of morphological image analysis. When the stereo base is 60 m and taking pictures with a resolution of 1200 pixels in the field of view of 60° the error does not exceed 10% at the height of the cloud base less than 4 km. Optimization of the parameters of photography, including the increase of the stereo base, can significantly improve the accuracy of the estimation the height of the cloud base. Examples of estimation of the height of cloud base on the layout of the experimental setup are compared with the measurements of the laser range finder.
сlouds, cloud base, measuring the characteristics of the cloud, remote sensing, stereoscopic
1. Golicyn G.S., Mohov I.I. Ocenki chuvstvitel'nosti i roli oblakov v prostyh modeljah klimata // Izv. AN SSSR. Fiz. atmosf. i okeana. 1978. V. 14, N 8. P. 803–814.
2. Ivanov V.A., Postyljakov O.V. Ocenka integral'nogo soderzhanija NO2 v pogranichnom sloe atmosfery po nabljudenijam rassejannoj v zenite solnechnoj radiacii // Optika atmosf. i okeana. 2010. V. 23, N 6. P. 471–475.
3. Ivanov V.A., Elohov A.S., Postyljakov O.V. O vozmozhnosti ocenki ob#ema vybrosov NO2 v gorodah po zenitnym spektral'nym nabljudenijam rassejannoj solnechnoj radiacii vblizi 450 nm // Optika atmosf. i okeana. 2012. Т. 25, № 6. C. 544–549. DOI: 10.1134/S1024856012060061; Ivanov V.A., Elokhov A.S., Postylyakov O.V. On the Possibility of Estimating the Volume of NO2 Emissions in Cities Using Zenith Spectral Observations of Diffuse Solar Radiation near 450 nm //Atmos. Ocean. Opt. 2012, V. 25, N 6. P. 434–439.
4. Postylyakov O., Borovski A., Ivanov V. On determination of formaldehyde content in atmospheric boundary layer for overcast using DOAS technique // Proc. SPIE. 2015. V. 9680. P. 96804O.1–96804O.10. DOI: 10.1117/12.2205925.
5. Golicyn G.S., Mohov I.I. Issledovanija po sovetskoj programme klimatologii oblachnosti i radiacii // Izv. AN SSSR. Fiz. atmosf. i okeana. 1989. V. 25, N 8. P. 891–895.
6. Dvorjashin S.V. Distancionnoe opredelenie otnoshenija ob#emnyh kojefficientov pogloshhenija vody i l'da v oblakah v oblasti spektra 2,15–2,35 mkm // Izv. RAN. Fiz. atmosf. i okeana. 2002. V. 38, N 4. P. 523–528.
7. Zuev S.V., Krasnenko N.P. Passive method for cloud base height detection // Proc. SPIE. V. 6522. P. 65221S.1–65221S.6. DOI: 10.1117/12.723217.
8. Andreev M., Chulichkov A.I., Medvedev A.P., Postylyakov O.V. Estimation of cloud base height using ground-based stereo photography: Method and first results // Proc. SPIE. 2014. V. 9242. P. 924219.1–924219.7. DOI: 10.1117/12.2069824.
9. Andreev M.S., Chulichkov A.I., Emilenko A.S., Medvedev A.P., Postylyakov O.V. Estimation of cloud height using ground-based stereophotography: Methods, error analysis and validation // Proc. SPIE. 2014. V. 9259. P. 92590N.1–92590N.7. DOI: 10.1117/12.2069800.
10. Zuev S.V., Krasnenko N.P. Jeksperimental'naja proverka izmeritelja vysoty oblachnosti // Optika atmosf. i okeana. 2009. V. 22, N 1. P. 86–89.
11. Pyt'ev Ju.P. Metody matematicheskogo modelirovanija izmeritel'no-vychislitel'nyh sistem. M.: FIZMATLIT, 2012. 428 p.
12. Pyt'ev Ju.P., Chulichkov A.I. Metody morfologicheskogo analiza izobrazhenij. M.: FIZMATLIT, 2010. 336 p.
13. Mrovlje J., Vrancic D. Distance measuring based on stereoscopic pictures // Proc. 9th International PhD Workshop on Systems and Control: Young Generation Viewpoint. Izola, Slovenia, 2008. V. 2. P. 1–6.
14. Hartley R., Zisserman A. Multiple View Geometry in Computer Vision. Cambridge: Cambridge University Press, 2004. 672 p.
15. Walcher H. Position sensing – Angle and distance measu-rement for engineers. 2 ed. Butterworth-Heinemann Ltd., 1994. 256 p.
16. Chulichkov A.I., Demin D.S., Kulichkov S.N. Ocenki otnositel'nogo vremeni zaderzhki signalov, osnovannye na analize ih formy // Vestn. MGU. Issue 3. Fizika. Astronomija. 2007. N 6. P. 17–21.