{"title":"一种绘制由隐式方程定义的曲线的方法","authors":"E. Cohen","doi":"10.1145/563274.563321","DOIUrl":null,"url":null,"abstract":"A square chain of points is found that approximates a plane curve of the form F (x,y) =0. In case F (x,y) =0 represents a conic section, the method requires no multiplication or division, and so is well adapted to hardware or small computer software implementation. The algorithm may also be used to find approximate solutions of differential equations of the form F1dx + F2dy = 0.","PeriodicalId":160433,"journal":{"name":"Proceedings of the 3rd annual conference on Computer graphics and interactive techniques","volume":"27 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1976-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"A method for plotting curves defined by implicit equations\",\"authors\":\"E. Cohen\",\"doi\":\"10.1145/563274.563321\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A square chain of points is found that approximates a plane curve of the form F (x,y) =0. In case F (x,y) =0 represents a conic section, the method requires no multiplication or division, and so is well adapted to hardware or small computer software implementation. The algorithm may also be used to find approximate solutions of differential equations of the form F1dx + F2dy = 0.\",\"PeriodicalId\":160433,\"journal\":{\"name\":\"Proceedings of the 3rd annual conference on Computer graphics and interactive techniques\",\"volume\":\"27 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1976-07-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 3rd annual conference on Computer graphics and interactive techniques\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/563274.563321\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 3rd annual conference on Computer graphics and interactive techniques","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/563274.563321","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A method for plotting curves defined by implicit equations
A square chain of points is found that approximates a plane curve of the form F (x,y) =0. In case F (x,y) =0 represents a conic section, the method requires no multiplication or division, and so is well adapted to hardware or small computer software implementation. The algorithm may also be used to find approximate solutions of differential equations of the form F1dx + F2dy = 0.
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