{"title":"使用莫尔斯理论的自由形式对象的自动逆向工程","authors":"J. Branch, F. Prieto, P. Boulanger","doi":"10.1109/3DIM.2007.12","DOIUrl":null,"url":null,"abstract":"In this paper, a method for surface reconstruction by means of optimized NURBS (non-uniform rational b-splines) patches from complex quadrilateral bases on triangulated surfaces of arbitrary topology is proposed. To decompose the triangulated surface into quadrilateral patches, Morse theory and spectral mesh analysis are used. The quadrilateral regions obtained from this analysis is then regularized by computing the geodesic curves between each corner of the quadrilateral regions. These geodesies are then fitted by a B-splines curves creating a quadrilateral network on which a NURBS surface is fitted. The NURBS surfaces are then optimized using evolutive strategies to guaranty the best fit as well as C1 continuity between the patches.","PeriodicalId":442311,"journal":{"name":"Sixth International Conference on 3-D Digital Imaging and Modeling (3DIM 2007)","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Automated Reverse Engineering of Free Form Objects Using Morse Theory\",\"authors\":\"J. Branch, F. Prieto, P. Boulanger\",\"doi\":\"10.1109/3DIM.2007.12\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a method for surface reconstruction by means of optimized NURBS (non-uniform rational b-splines) patches from complex quadrilateral bases on triangulated surfaces of arbitrary topology is proposed. To decompose the triangulated surface into quadrilateral patches, Morse theory and spectral mesh analysis are used. The quadrilateral regions obtained from this analysis is then regularized by computing the geodesic curves between each corner of the quadrilateral regions. These geodesies are then fitted by a B-splines curves creating a quadrilateral network on which a NURBS surface is fitted. The NURBS surfaces are then optimized using evolutive strategies to guaranty the best fit as well as C1 continuity between the patches.\",\"PeriodicalId\":442311,\"journal\":{\"name\":\"Sixth International Conference on 3-D Digital Imaging and Modeling (3DIM 2007)\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-08-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Sixth International Conference on 3-D Digital Imaging and Modeling (3DIM 2007)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/3DIM.2007.12\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Sixth International Conference on 3-D Digital Imaging and Modeling (3DIM 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/3DIM.2007.12","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Automated Reverse Engineering of Free Form Objects Using Morse Theory
In this paper, a method for surface reconstruction by means of optimized NURBS (non-uniform rational b-splines) patches from complex quadrilateral bases on triangulated surfaces of arbitrary topology is proposed. To decompose the triangulated surface into quadrilateral patches, Morse theory and spectral mesh analysis are used. The quadrilateral regions obtained from this analysis is then regularized by computing the geodesic curves between each corner of the quadrilateral regions. These geodesies are then fitted by a B-splines curves creating a quadrilateral network on which a NURBS surface is fitted. The NURBS surfaces are then optimized using evolutive strategies to guaranty the best fit as well as C1 continuity between the patches.
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