S. V. Dvoinishnikov, D. V. Kulikov, V. G. Meledin, V. V. Rakhmanov
{"title":"动态物体三维几何测量的相位图像解码算法","authors":"S. V. Dvoinishnikov, D. V. Kulikov, V. G. Meledin, V. V. Rakhmanov","doi":"10.1134/S1990478923020072","DOIUrl":null,"url":null,"abstract":"<p> We propose an algorithm for decoding phase images that has algorithmic complexity\n<span>\\( O(N\\log N) \\)</span>. The method is based on an iterative search for the minimum deviation of\nthe model function from the measurement results. The use of an interval search algorithm\npermitted considerably reducing the computational complexity of the algorithm. The error of the\nproposed method is comparable to the error of the phase image decoding method based on the\nanalytical solution of the system of equations describing the intensity in the phase images.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 2","pages":"291 - 295"},"PeriodicalIF":0.5800,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Phase Image Decoding Algorithm for Three-Dimensional Geometry Measurements of Dynamic Objects\",\"authors\":\"S. V. Dvoinishnikov, D. V. Kulikov, V. G. Meledin, V. V. Rakhmanov\",\"doi\":\"10.1134/S1990478923020072\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> We propose an algorithm for decoding phase images that has algorithmic complexity\\n<span>\\\\( O(N\\\\log N) \\\\)</span>. The method is based on an iterative search for the minimum deviation of\\nthe model function from the measurement results. The use of an interval search algorithm\\npermitted considerably reducing the computational complexity of the algorithm. The error of the\\nproposed method is comparable to the error of the phase image decoding method based on the\\nanalytical solution of the system of equations describing the intensity in the phase images.\\n</p>\",\"PeriodicalId\":607,\"journal\":{\"name\":\"Journal of Applied and Industrial Mathematics\",\"volume\":\"17 2\",\"pages\":\"291 - 295\"},\"PeriodicalIF\":0.5800,\"publicationDate\":\"2023-08-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied and Industrial Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1990478923020072\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478923020072","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
Phase Image Decoding Algorithm for Three-Dimensional Geometry Measurements of Dynamic Objects
We propose an algorithm for decoding phase images that has algorithmic complexity
\( O(N\log N) \). The method is based on an iterative search for the minimum deviation of
the model function from the measurement results. The use of an interval search algorithm
permitted considerably reducing the computational complexity of the algorithm. The error of the
proposed method is comparable to the error of the phase image decoding method based on the
analytical solution of the system of equations describing the intensity in the phase images.
期刊介绍:
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.