• Українська
  • English
ISSN 2415-3400 (Online)
ISSN 1028-821X (Print)

Optimal surface relief reconstruction from both the photometric and the altimetric data

heading: 
RADIOWAVE PROPAGATION, RADIOLOCATION AND REMOTE SENSING
Kornienko, YV, Dulova, IA
Organization: 

O. Ya. Usikov Institute for Radiophysics and Electronics of the National Academy of Sciences of Ukraine
12, Proskura st., Kharkov, 61085, Ukraine
E-mail: irina.dulv@gmail.com
https://doi.org/10.15407/rej2019.04.046
Language: russian
Abstract: 

 

Subject and purpose. The paper discusses the extension of the photometric method for the surface relief retrieval from images in the optical and radar wavelengths ranges through the involving of the direct heights measurements by an altimeter onboard the spacecraft. The photometric method allows retrieval the relief which has accuracy and the spatial resolution inherent in initial images. Altimetry provides direct measurements of the surface heights, but to cover the entire study area it requires too many spacecraft passes. The paper considers an altimeter having a wide radiation pattern.

Methods and methodology. The paper presents the development of the photometric method for the surface relief retrieval. The main characteristic of the method is the Bayesian statistical approach which allows calculations of the most probable relief from available observational data with mathematical rigour.

Results. An expression for the optimal filter which converts source images along with altimetry data into the most probable relief is derived. The efficiency of the method is verified using computer modeling.

Conclusion. The statistical approach to processing of experimental data allows optimal combination of surface images and altimeter data properties to obtain the surface relief with high spatial resolution and reference to real heights.
Keywords: altimetry, optimal filtering, photometry, statistical estimation of a random variable, surface relief

Manuscript submstted 08.05.2019
PACS: 96.12.Kz : 07.05.Tp : 02.50.-r
Radiofiz. elektron. 2019, 24(4): 46-52
Full text  (PDF)

References: 
1. Parusimov, V.G., Kornienko, Yu.V., 1973. On determination of the most probable relief of a surface region by its optical image. Astrometriya i astrofizika, 19, pp. 20 24 (in Russian).
2. Kornienko, Yu.V., Dulova, I.A., Nguyen Xuan Anh, 1994. Wiener approach to the determination of optical characteristicsof a planetary surface from photometric observations. Kinematika i fizika nebesnyh tel, 10(5), pp. 69-76 (in Russian).
3. Kornienko, Yu.V., Nguyen Xuan Anh, 1996. Determination of relief and radiooptical parameters of a surface area through the use of a synthetic aperture radar. In: V.M. Yakovenko, ed. 1996. Radiofizika i elektronika. Kharkov: IRE NAS of Ukraine Publ. 1, pp. 129-133 (in Russian).
4. Dulova, I.A., Kornienko, Yu.V., 2001. Random error of surface relief reconstruction by radio brightness. Radio phys. radio astron., 6(4), pp. 310-316 (in Russian).
5. Lahart, M.J., 1979. Local image restoration by a least squares method. J. Opt. Soc. Am. (JOSA), 69(10), pp. 1333-1339. DOI: https://doi.org/10.1364/JOSA.69.001333
6. Barnard, G.A. and Bayes, Thomas, 1958. Studies in the History of Probability and Statistics: IX. Thomas Bayes's Essay Towards Solving a Problem in the Doctrine of Chances. Biometrika, 45(3/4), pp. 293-315. DOI: https://doi.org/10.2307/2333180
7. Kornienko, Yu.V., 2008. Image processing at the IRE NAS of Ukraine. In: V.M. Yakovenko, ed. 2008. Radiofizika i elektronika. Kharkov: IRE NAS of Ukraine Publ. 13(spec. iss.), pp. 423-445 (in Russian).