{"title":"对数美学曲线的变分公式","authors":"K. Miura, S. Usuki, R. Gobithaasan","doi":"10.1145/2160749.2160793","DOIUrl":null,"url":null,"abstract":"The log-aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves. Although most of them are expressed only by an integral form of the tangent vector, it is possible to interactively generate and deform them and they are expected to be utilized for practical use of industrial and graphical design. We reformulate the LA curve with variational principle in order to analyze its properties.","PeriodicalId":407345,"journal":{"name":"Joint International Conference on Human-Centered Computer Environments","volume":"71 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"Variational formulation of the log-aesthetic curve\",\"authors\":\"K. Miura, S. Usuki, R. Gobithaasan\",\"doi\":\"10.1145/2160749.2160793\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The log-aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves. Although most of them are expressed only by an integral form of the tangent vector, it is possible to interactively generate and deform them and they are expected to be utilized for practical use of industrial and graphical design. We reformulate the LA curve with variational principle in order to analyze its properties.\",\"PeriodicalId\":407345,\"journal\":{\"name\":\"Joint International Conference on Human-Centered Computer Environments\",\"volume\":\"71 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-03-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Joint International Conference on Human-Centered Computer Environments\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/2160749.2160793\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Joint International Conference on Human-Centered Computer Environments","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/2160749.2160793","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Variational formulation of the log-aesthetic curve
The log-aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves. Although most of them are expressed only by an integral form of the tangent vector, it is possible to interactively generate and deform them and they are expected to be utilized for practical use of industrial and graphical design. We reformulate the LA curve with variational principle in order to analyze its properties.
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