{"title":"一种生成分段常数曲率插值曲线的方法","authors":"V.L. Murashko, I.L. Osipov","doi":"10.1016/0041-5553(90)90211-A","DOIUrl":null,"url":null,"abstract":"<div><p>A method of interpolating a function of one variable whose values and first derivatives are fixed at the end-points of an interval is described. The solution of the problem is a one-parameter family of second-order curves. An example of the application of the method to the global construction of an interpolating curve is given.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 3","pages":"Pages 212-214"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90211-A","citationCount":"0","resultStr":"{\"title\":\"A method of generating an interpolating curve with piecewise sign-constant curvature\",\"authors\":\"V.L. Murashko, I.L. Osipov\",\"doi\":\"10.1016/0041-5553(90)90211-A\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A method of interpolating a function of one variable whose values and first derivatives are fixed at the end-points of an interval is described. The solution of the problem is a one-parameter family of second-order curves. An example of the application of the method to the global construction of an interpolating curve is given.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 3\",\"pages\":\"Pages 212-214\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90211-A\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/004155539090211A\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/004155539090211A","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A method of generating an interpolating curve with piecewise sign-constant curvature
A method of interpolating a function of one variable whose values and first derivatives are fixed at the end-points of an interval is described. The solution of the problem is a one-parameter family of second-order curves. An example of the application of the method to the global construction of an interpolating curve is given.
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