H.-Y. Chen , I.-K. Lee , S. Leopoldseder , H. Pottmann , T. Randrup , J. Wallner
{"title":"利用可展曲面的曲面逼近","authors":"H.-Y. Chen , I.-K. Lee , S. Leopoldseder , H. Pottmann , T. Randrup , J. Wallner","doi":"10.1006/gmip.1999.0487","DOIUrl":null,"url":null,"abstract":"<div><p>We introduce a method for approximating a given surface by a developable surface. It will be either a<em>G</em><sup>1</sup>surface consisting of pieces of cones or cylinders of revolution or a<em>G</em><sup>r</sup>NURBS developable surface. Our algorithm will also deal properly with the problems of reverse engineering and produce robust approximation of given scattered data. The presented technique can be applied in computer aided manufacturing, e.g. in shipbuilding.</p></div>","PeriodicalId":100591,"journal":{"name":"Graphical Models and Image Processing","volume":"61 2","pages":"Pages 110-124"},"PeriodicalIF":0.0000,"publicationDate":"1999-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1006/gmip.1999.0487","citationCount":"84","resultStr":"{\"title\":\"On Surface Approximation Using Developable Surfaces\",\"authors\":\"H.-Y. Chen , I.-K. Lee , S. Leopoldseder , H. Pottmann , T. Randrup , J. Wallner\",\"doi\":\"10.1006/gmip.1999.0487\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We introduce a method for approximating a given surface by a developable surface. It will be either a<em>G</em><sup>1</sup>surface consisting of pieces of cones or cylinders of revolution or a<em>G</em><sup>r</sup>NURBS developable surface. Our algorithm will also deal properly with the problems of reverse engineering and produce robust approximation of given scattered data. The presented technique can be applied in computer aided manufacturing, e.g. in shipbuilding.</p></div>\",\"PeriodicalId\":100591,\"journal\":{\"name\":\"Graphical Models and Image Processing\",\"volume\":\"61 2\",\"pages\":\"Pages 110-124\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1006/gmip.1999.0487\",\"citationCount\":\"84\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Graphical Models and Image Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1077316999904872\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Graphical Models and Image Processing","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1077316999904872","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Surface Approximation Using Developable Surfaces
We introduce a method for approximating a given surface by a developable surface. It will be either aG1surface consisting of pieces of cones or cylinders of revolution or aGrNURBS developable surface. Our algorithm will also deal properly with the problems of reverse engineering and produce robust approximation of given scattered data. The presented technique can be applied in computer aided manufacturing, e.g. in shipbuilding.
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