{"title":"悬垂还原的正规变换","authors":"C. Castro, L. Sacht","doi":"10.5753/sibgrapi.est.2019.8316","DOIUrl":null,"url":null,"abstract":"We present a partial solution for the problem of reducing overhanging parts of a surface to 3D print it with minimal number of supports. We first present a summary about how a 3D printer works and why the overhanging problem happens. This review focuses on a specific type of 3D printer that uses polymer melted to print solids on cross-sectional layers. We then do a fast review of three-dimensional surface representation in a computer and its discrete representation. Then we present our minimization problem and show some test results, using libigl library and gptoolbox functions, to observe the solution of problem.","PeriodicalId":119031,"journal":{"name":"Anais Estendidos da Conference on Graphics, Patterns and Images (SIBGRAPI)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Normal Transformations for Overhang Reduction\",\"authors\":\"C. Castro, L. Sacht\",\"doi\":\"10.5753/sibgrapi.est.2019.8316\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We present a partial solution for the problem of reducing overhanging parts of a surface to 3D print it with minimal number of supports. We first present a summary about how a 3D printer works and why the overhanging problem happens. This review focuses on a specific type of 3D printer that uses polymer melted to print solids on cross-sectional layers. We then do a fast review of three-dimensional surface representation in a computer and its discrete representation. Then we present our minimization problem and show some test results, using libigl library and gptoolbox functions, to observe the solution of problem.\",\"PeriodicalId\":119031,\"journal\":{\"name\":\"Anais Estendidos da Conference on Graphics, Patterns and Images (SIBGRAPI)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-10-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Anais Estendidos da Conference on Graphics, Patterns and Images (SIBGRAPI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5753/sibgrapi.est.2019.8316\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Anais Estendidos da Conference on Graphics, Patterns and Images (SIBGRAPI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5753/sibgrapi.est.2019.8316","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We present a partial solution for the problem of reducing overhanging parts of a surface to 3D print it with minimal number of supports. We first present a summary about how a 3D printer works and why the overhanging problem happens. This review focuses on a specific type of 3D printer that uses polymer melted to print solids on cross-sectional layers. We then do a fast review of three-dimensional surface representation in a computer and its discrete representation. Then we present our minimization problem and show some test results, using libigl library and gptoolbox functions, to observe the solution of problem.