- PII
- S3034583925030043-1
- DOI
- 10.7868/S3034583925030043
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 61 / Issue number 3
- Pages
- 75-81
- Abstract
- An approach to the geometric pattern recognition problem based on introducing a coordinate system modeling binocular vision, allows us to introduce the concept of a flat observable curve, describe the set of observable curves in the form of a criterion, prove the precompactness of this set with respect to the Hausdorff metric, and thus establish the existence of a finite epsilon-net in this set.
- Keywords
- бинокулярная фузия биполярные координаты поле конусов видимое множество метрика Хаусдорфа эпсилон-сеть
- Date of publication
- 01.03.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 4
References
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- 2. Turner K. Cone Fields and Topological Sampling in Manifolds with Bounded Curvature // Found. Comput. Math. 2013. V. 13. № 6. P. 913–933. https://doi.org/10.1007/s10208013-9176-6
- 3. Pokrovski I.L. Application of Bipolar Coordinates in Machine Vision and Geometric Pattern Recognition Problems // Probl. Inf. Transm. 2025. V. 61. № 3 (to appear).
- 4. Соловьев А.Н. Основы топографии и инженерной геодезии. СПб.: СПбГЛТУ, 2015.
- 5. Zerr G.B.M. Biangular Coordinates // Amer. Math. Monthly. 1910. V. 17. № 2. P. 34–38. https://doi.org/10.1080/00029890.1910.11997537
- 6. Михайлов И.А. Об одном методе распознавания изображений // Модел. и анализ информ. систем. 2007. T. 14. № 4. С. 7–12. https://www.mathnet.ru/rus/mais151
- 7. Люстерник Л.А., Соболев В.И. Элементы функционального анализа. М.: Наука, 1965.
