{"title":"基于空间曲线基本向量的曲线曲率和扭转优化","authors":"Li Donghai, Lu liyu","doi":"10.1109/ICRIS.2017.63","DOIUrl":null,"url":null,"abstract":"Based on the curve Γ:r=r(s) whose basic vector are α, β, γ and curvature and torsion are and τ respectively. Under two different condition which k and τ have different values. We studied calculation of Curvature k and torsion τ of curves Γ: ρ=r+aα+bβ by vector and αβ.","PeriodicalId":443064,"journal":{"name":"2017 International Conference on Robots & Intelligent System (ICRIS)","volume":"107 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Optimization of Curvature and Torsion of the Curve Based on the Basic Vector of the Space Curve\",\"authors\":\"Li Donghai, Lu liyu\",\"doi\":\"10.1109/ICRIS.2017.63\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Based on the curve Γ:r=r(s) whose basic vector are α, β, γ and curvature and torsion are and τ respectively. Under two different condition which k and τ have different values. We studied calculation of Curvature k and torsion τ of curves Γ: ρ=r+aα+bβ by vector and αβ.\",\"PeriodicalId\":443064,\"journal\":{\"name\":\"2017 International Conference on Robots & Intelligent System (ICRIS)\",\"volume\":\"107 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2017 International Conference on Robots & Intelligent System (ICRIS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICRIS.2017.63\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 International Conference on Robots & Intelligent System (ICRIS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICRIS.2017.63","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Optimization of Curvature and Torsion of the Curve Based on the Basic Vector of the Space Curve
Based on the curve Γ:r=r(s) whose basic vector are α, β, γ and curvature and torsion are and τ respectively. Under two different condition which k and τ have different values. We studied calculation of Curvature k and torsion τ of curves Γ: ρ=r+aα+bβ by vector and αβ.
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