Image synthesis using the modulation transfer characteristic of a thermal imaging optoelectronic system in order to evaluate the resolution
Аuthors
1*, 2, 31. Closed Joint Stock Company «Technological Park of Cosmonautics «LINKOS»», Moscow, Shcherbinka, Russia
2. State Research Institute of aviation systems, Moscow, Russia
3. Сenter (control of integrated safety and security) the MoD RF , Moscow, Russia
*e-mail: a_krasnov@inbox.ru
Abstract
The definition of the modulation transfer characteristic is considered, the electro-optical system parameters determining the resolution are also analyzed: the angular size of the image blur spot, the instantaneous (elementary) field of view, the angular size of the detector, the dot scattering function, and the relationship between them is shown.
The modulation transfers characteristic of the thermal imaging electro-optical system and its components are calculated based on the results obtained at the laboratory testing stage, as well as a comparison of the components of the laboratory and calculated (theoretical) modulation transfer characteristic. Then, the content of the synthesis of images of objects using linear filtering in the frequency and spatial domains is disclosed, taking into account the modulation transfer characteristic and the dot scattering function.
The basic idea of filtering in the spatial domain is to define the filter, and in the frequency domain, the transfer function of the filter. If, depending on the characteristics of the filter (transfer function), the high-frequency components weaken, and the low-frequency components remain relatively unchanged, then a filter with such characteristics is called a low-frequency filter. The result of low-frequency filtering is blurring (smoothing) of the image, and vice versa, the result of high-frequency filtering is an increase in image sharpness, that is, low frequencies are attenuated, leaving the high frequencies of the Fourier transform relatively unchanged. An example of image synthesis for the objective assessment of image sharpness through the use of histograms is considered.
The relevance of this material is due to the need for an objective tool for assessing the resolution of optoelectronic systems, excluding subjective opinion due to the human factor. In conclusion, the place of synthesis of images of objects using modulation transfer characteristic in the digital model of the combined vision system is determined.
Keywords:
modulation transfer characteristic, linear filtering in the frequency (spatial) domain, synthesis of images of objects, thermal imaging electro-optical systemReferences
- Krasnov A.M., Tregubenkov S.Yu., Rumyantsev A.V., Khismatov R.F., Shashkov S.N. Methodology for estimating the efficiency of optical-electronic systems using an analytical model. Functions of threshold contrast and modulation transfer // Information-measuring and control systems. 2021. Vol. 19. No. 1. pp. 45-64. DOI: 10.18127/j20700814-202101-04
- Ronald G. Driggers, Melvin H. Friedman, John W. Devitt, Orges Furxhi, Anjali Singh. Introduction to Infrared and Electro-Optical Systems - Third Edition. Artech House, 2022.
- Gerald C. Holst. Electro-Optical Imaging System Performance - Fifth edition. JCD Publishing and SPIE Press, 2008.
- MAVIISS ver. 1.5 (MTF based Visible and Infrared Imaging Systems Simulation) is an Interactive Software program available from JCD Publishing Company and Interactive Software-Integrated Solutions for the 21st Century (ISIS21), 2005.
- Gerald C. Holst, Ronald G. Driggers. Small detectors in infrared system design. Optical Engineering 51(9), 096401, 2012.
- Rachel Hughes. Sensor Model Requirements for TAWS/IRTSS Operation. Naval Postgraduate School. Monterey, CA 93943-5000, 2007.
- Night Vision Thermal Imaging Systems Performance Model. User's Manual & Reference Guide. U.S. Army Night Vision and Electronic Sensors Directorate Modeling & Simulation Division Fort Belvoir, VA, 2001.
- Krasnov A.M., Shashkov S.N., Rumyantsev A.V. A methods for synthesizing images of target environment taking into account the characteristics of a thermal electro-optical imaging system // Trudy MAI. 2025. No. 144. (In Russ.) URL: https://trudymai.ru/published.php?ID=186316
- Krasnov A.M., Shashkov S. N., Rumyantsev A.V. Methodology for assessing the effect of temperature contrast on the probability of object detection based on laboratory tests of a thermal imaging optoelectronic system // Trudy MAI. 2025. No. 145. (In Russ.) URL: https://trudymai.ru/publications.php?ID=186886
- Michael C. Dudzik, Editor. The Infrared & Electro-Optical Systems Handbook. Joseph S. Accetta, David L. Shumaker, Executive Editors. VOLUME 4 Electro-Optical Systems Design, Analysis, and Testing. Infrared Information Analysis Center and SPIE Optical Engineering Press, 1993.
- Gerald C. Holst. Electro-Optical Imaging System Performance - Sixth edition. JCD Publishing and SPIE Press, 2017.
- Krzysztof Chrzanowski. Testing thermal imagers. Practical guidebook. Military University of Technology, Warsaw, Poland, 2010.
- Gonzalez R., Woods R., Eddins S. Digital image processing in the MATLAB environment. Moscow: Technosphere, 2006.
- Rafael C. Gonzalez, Richard E. Woods, Steven L. Eddins. Digital Image Processing Using MATLAB. Pearson Prentice-Hall, Upper Saddle River, NJ 07458, 2004.
- Gonzalez, Rafael C., Woods, Richard E., Eddins, Steven L. Digital Image Processing using MATLAB. Gatesmark Publishing, 2020.
- A. Berk, G.P. Anderson, P.K. Acharya, M.L. Hoke, J.H. Chetwynd, L.S. Bernstein, E.P. Shettle, M.W. Matthew and S.M. Adler-Golden. MODTRAN4 Version 3 Revision 1 USER’S MANUAL. Air Force Research Laboratory, Space Vehicles Directorate, Air Force Materiel Command, HANSCOM AFB, MA 01731-3010, 2003.
- Glenn D. Boreman. Modulation transfer function in optical and electro-optical systems. Second edition. Bellingham, Washington: SPIE Press, 2021.
- Krasnov A.M., Tregubenkov S.Yu., Rumyantsev A.V., Khismatov R.F., Shashkov S.N. Methodology for estimating the efficiency of optical-electronic systems using an analytical model. Noise model of the «OES-operator» system. Trudy MAI, 2022, no.122. DOI: 10.34759/trd-2022-122-22
- GOST R 57700.37 – 2021. Computer models and modeling. Digital counterparts of products. General provisions
- GOST R 57700.24. Computer models and modeling. The validation basis.
- GOST R 57700.22. Computer models and modeling. Classification.
- GOST R 57412. Computer models in the processes of product development, production and operation. General provisions.
Download

