Algorithm for classifying pixels of a color interferogram registered in the photoelasticity method.
https://doi.org/10.55648/1998-6920-2025-19-4-48-62
Abstract
The problem of studying the plane stress state by the photoelasticity method is
considered. The technique is based on solving equilibrium equations. The boundary conditions
for them are set based on the recorded interference pattern. A uniform grid is applied to it. For
each node, the order of the interference band to which it belongs is determined. To date, the
problem of automating this procedure has not been fully solved. To solve this problem, an
algorithm has been developed and programmatically implemented that determines whether a
node belongs to a stripe based on the color of the surrounding area. The algorithm is based on
testing the statistical hypothesis that the sample belongs to a given distribution according to the
Pearson criterion. To do this, the brightness histograms in all three color channels of the band of
each order are quantitatively compared with the corresponding histograms constructed for the
area in the vicinity of the node under consideration. The application of the method to the data
taken at the PPU-7 installation has shown its effectiveness. In particular, the following results
were obtained for interference patterns from simple objects (disk, plate). Of the 208 points
(nodes of the rectangular grid) for which the interference band was determined, approximately
95% were correctly classified. Moreover, in some cases, there were no incorrectly classified
pixels at all. Pixels that were not classified due to the fact that hypotheses about the
correspondence of the chromaticity of their neighborhood to the color gamut of any of the bands
were rejected accounted for 5-10%.
Supporting agencies: This work was supported by the Ministry of Science and Higher Education of the Russian Federation (project No. 121022000116-0)
About the Authors
Alexey Valerievich Likhachev
Institute of Automation and Electrometry SB RAS (IA&E SB RAS), Siberian State University of Telecommunications and Information Science (SibSUTIS)
Russian Federation
Russian Federation
Dr. of Sci. (Engineering), Head of the Scientific Group of Computer Science and Applied
Mathematics, Institute of Automation and Electrometry SB RAS (IA&E SB RAS, Russia, professor of the Department of Applied Mathematics and
Cybernetics, Siberian State University of Telecommunications and Information Science
Marina Vladimirovna Tabanyukhova
Novosibirsk State University of Architecture and Civil Engineering (Sibstrin)
Russian Federation
Russian Federation
Cand. of Sci. (Engineering), Head of the Department of Structural Mechanics, Novosibirsk State
University of Architecture and Civil Engineering (Sibstrin)
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For citations:
Likhachev A.V., Tabanyukhova M.V. Algorithm for classifying pixels of a color interferogram registered in the photoelasticity method. The Herald of the Siberian State University of Telecommunications and Information Science. 2025;19(4):48-62. (In Russ.) https://doi.org/10.55648/1998-6920-2025-19-4-48-62
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