title: Ð ÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Â«Point-pattern matchingÂ», Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð½Ð° Ð»Ð¾ÐºÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸Ð¸ Ð¿Ð°ÑÑ ÑÐ¾ÑÐµÐº Ð¸ Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÐ½Ð¾Ð¹ ÑÐµÐ»Ð°ÐºÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð¼Ð°ÑÐºÐ¸ÑÐ¾Ð²ÐºÐµ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Implementation and application of the "point-pattern matching", based on the local topology of a point-pair topology and probabilistic relaxation marking
Creators: name: ÐÐ°Ð²Ð°Ð´ÑÐºÐ¸Ð¹, ÐÐ¾Ð½ÑÑÐ°Ð½ÑÐ¸Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð»Ð¾ÐºÐ°Ð»ÑÐ½Ð°Ñ ÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸Ñ Ð¿Ð°ÑÑ ÑÐ¾ÑÐµÐº
ÑÐ¾Ð¿Ð¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ ÑÐ¾ÑÐµÐº Ñ Ð¾Ð±ÑÐ°Ð·ÑÐ¾Ð¼
ÐºÐ¾ÑÑÑÐ¸ÑÐ¸ÐµÐ½ÑÑ ÑÐ¾Ð²Ð¼ÐµÑÑÐ¸Ð¼Ð¾ÑÑÐ¸
Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÐ½Ð°Ñ ÑÐµÐ»Ð°ÐºÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð°ÑÐºÐ¸ÑÐ¾Ð²ÐºÐ°
local point pair topology
point-to-sample matching
compatibility coefficients
probabilistic relaxation labeling.

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â Ð»Ð¾ÐºÐ°Ð»ÑÐ½Ð°Ñ ÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸Ñ Ð¾Ð±ÑÐµÐºÑÐ¾Ð² Ð² ÑÐ¾ÑÐµÑÐ½Ð¾Ð¼ Ð¸Ð·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ð¸. Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Point-pattern matching, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½Ð¾Ð³Ð¾ Ð½Ð° Ð»Ð¾ÐºÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÐ¾Ð¿Ð¾Ð»Ð¾Ð³Ð¸Ð¸ Ð¿Ð°ÑÑ ÑÐ¾ÑÐµÐº Ð¸ Ð²ÐµÑÐ¾ÑÑÐ½Ð¾ÑÑÐ½Ð¾Ð¹ ÑÐµÐ»Ð°ÐºÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð¼Ð°ÑÐºÐ¸ÑÐ¾Ð²ÐºÐ¸. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ» ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Point-pattern matching, Ð¿ÑÐ¾Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ñ Ð¸ Ð¿ÑÐ¾Ð°Ð½Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ ÑÐ°ÑÐ¿Ð¾Ð·Ð½Ð°Ð½Ð¸Ñ Ð¾Ð±ÑÐµÐºÑÐ¾Ð² Ð½Ð° ÑÐ¾ÑÐµÑÐ½ÑÑ Ð¸Ð·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸ÑÑ. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ñ Ð²ÑÑÐ²Ð»ÐµÐ½Ð¾, ÑÑÐ¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Point-pattern matching ÑÑÐµÐ´Ð¸ Ð¾ÑÑÐ°Ð»ÑÐ½ÑÑ ÑÐ²Ð»ÑÐµÑÑÑ Ð±Ð¾Ð»ÐµÐµ ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐ¼ Ð´Ð»Ñ ÑÐ°Ð±Ð¾ÑÑ Ð² ÑÐµÐ°Ð»ÑÐ½Ð¾Ð¼ Ð²ÑÐµÐ¼ÐµÐ½Ð¸. ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÑ Ð´Ð»Ñ Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ°ÑÐ¸Ð¸ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ ÑÐ°Ð±Ð¾ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Point-pattern matching. ÐÐ¿ÑÐ¾Ð±Ð°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¾ÑÐµÐ½ÐºÐ° Ð¿Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÐµÑ, ÑÑÐ¾ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ð¼. ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼ ÑÐ²Ð»ÑÐµÑÑÑ Ð²Ð¾ÑÑÑÐµÐ±Ð¾Ð²Ð°Ð½Ð½ÑÐ¼ Ð´Ð»Ñ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¼Ð¸ÑÐ° Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÑÐµÑÑÑ Ð² ÑÐ¾Ð±Ð¾ÑÐ¾ÑÐµÑÐ½Ð¸ÐºÐµ, Ð¼ÐµÐ´Ð¸ÑÐ¸Ð½Ðµ, Ð°ÑÑÑÐ¾Ð½Ð¾Ð¼Ð¸Ð¸ Ð¸ Ð´Ñ. ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ÑÑ Ð¾ÑÐºÑÑÑÑÐµ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½ÑÐµ ÑÐµÑÑÑÑÑ Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Ð¿Ð¾Ð¸ÑÐºÐ° Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸: ÐÐ¸Ð±Ð»Ð¸Ð¾ÑÐµÐºÐ° ÑÐ·ÑÐºÐ° Python. ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ÑÑ ÑÑÐµÐ´ÑÑÐ²Ð° Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð°ÑÐ¸Ð¸ (Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹) ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ Python. ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¾ (Ð¿ÑÐ¾ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¾) Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ðµ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ðµ Python.
description: The object of research is local topology of objects in point-pattern image The aim of the work is to implement and apply Point-pattern matching algorithm based on local topology of a pair of points and probabilistic relaxation labeling. As a result of the study, the Point-pattern matching algorithm was implemented, and the algorithms for object recognition in point images were demonstrated and analyzed. The comparison revealed that Point-pattern matching algorithm among the others is more efficient for real time operation. Experiments are conducted to demonstrate the accuracy of Point-pattern matching algorithm. The validation evaluation shows that the experimental results are consistent with the theoretical results. The algorithm is in demand for the modern world and is used in robotics, medicine, astronomy, etc. Open educational resources and programs of information search and analysis were used: Python language library. Python automation (automated) development tools were used. Python software was used (tested).