{"title":"求解标量函数等值面的拓扑模糊问题","authors":"S. Matveyev","doi":"10.1109/VMV.1994.324991","DOIUrl":null,"url":null,"abstract":"The purpose of the paper is the consideration of the problem of topological ambiguities arising in the Marching Cube algorithm. It also presents the solution of this problem inside the cube. The technique for obtaining the points lying on the surface and for connecting them in the correct sequence inside it is shown. Graph theory methods are used to approximate the isosurface inside the cube.<<ETX>>","PeriodicalId":380649,"journal":{"name":"Proceedings of Workshop on Visualization and Machine Vision","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Resolving the topological ambiguity in approximating the isosurface of scalar function\",\"authors\":\"S. Matveyev\",\"doi\":\"10.1109/VMV.1994.324991\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The purpose of the paper is the consideration of the problem of topological ambiguities arising in the Marching Cube algorithm. It also presents the solution of this problem inside the cube. The technique for obtaining the points lying on the surface and for connecting them in the correct sequence inside it is shown. Graph theory methods are used to approximate the isosurface inside the cube.<<ETX>>\",\"PeriodicalId\":380649,\"journal\":{\"name\":\"Proceedings of Workshop on Visualization and Machine Vision\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1994-06-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Workshop on Visualization and Machine Vision\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/VMV.1994.324991\",\"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 Workshop on Visualization and Machine Vision","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/VMV.1994.324991","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Resolving the topological ambiguity in approximating the isosurface of scalar function
The purpose of the paper is the consideration of the problem of topological ambiguities arising in the Marching Cube algorithm. It also presents the solution of this problem inside the cube. The technique for obtaining the points lying on the surface and for connecting them in the correct sequence inside it is shown. Graph theory methods are used to approximate the isosurface inside the cube.<>
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