{"title":"机器人操纵器与实半代数集的几何","authors":"A. Tannenbaum, Y. Yomdin","doi":"10.1109/JRA.1987.1087105","DOIUrl":null,"url":null,"abstract":"Some modern techniques are applied from real semialgebraic geometry to the robotic manipulator problem. In particular, using the notion of \"metric entropy,\" the complexity of maneuvering the manipulator from state to state is discussed.","PeriodicalId":370047,"journal":{"name":"IEEE J. Robotics Autom.","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1987-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"23","resultStr":"{\"title\":\"Robotic manipulators and the geometry of real semialgebraic sets\",\"authors\":\"A. Tannenbaum, Y. Yomdin\",\"doi\":\"10.1109/JRA.1987.1087105\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Some modern techniques are applied from real semialgebraic geometry to the robotic manipulator problem. In particular, using the notion of \\\"metric entropy,\\\" the complexity of maneuvering the manipulator from state to state is discussed.\",\"PeriodicalId\":370047,\"journal\":{\"name\":\"IEEE J. Robotics Autom.\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1987-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"23\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE J. Robotics Autom.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/JRA.1987.1087105\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE J. Robotics Autom.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/JRA.1987.1087105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Robotic manipulators and the geometry of real semialgebraic sets
Some modern techniques are applied from real semialgebraic geometry to the robotic manipulator problem. In particular, using the notion of "metric entropy," the complexity of maneuvering the manipulator from state to state is discussed.