| 自由曲面的平面展开 |
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| 引用本文： | 梁伟文,宾鸿赞.自由曲面的平面展开[J].上海大学学报(英文版),2003,7(2):185-190. |
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| 作者姓名： | 梁伟文 宾鸿赞 |
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| 作者单位： | SchoolofMechanicalScienceandEngineering，SchoolofMechanicalScienceandEngineering HuazhongUniversityofScienceandTechnology，Wuhan，430074，China，HuazhongUniversityofScienceandTechnology，Wuhan，430074，China |
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| 摘 要： | 1 Introduction PlanardevelopmentofacurvedsurfaceisbroadlyusedinCAGDandCAD .Accordingtotheirdevelop ment ,surfacesaredividedintodevelopablesurfacesandnon developablesurfaces .Mostofcurvedsurfacesarenon developable ,butbroadlyusedinengineering ,suchasaircraftwings ,laminaofturbine ,fluidsur face .Howeverthedesignandhandlingofcurvedsur faceareverydifficult.Inordertopredigestthecom plexityofdesign ,planardevelopingisintroduced .Non developablesurfacescannotbedevelopedontoaplanewithoutstretch…
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| 关 键 词： | 计算机辅助设计 CAD CAGD NURBS 非均匀有理B样条 曲面造型 |
| 收稿时间： | 19 June 2002 |
Research on planar development of curved surfaces |
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| Liang?Wei-Wen,Bin?Hong-Zan.Research on planar development of curved surfaces[J].Journal of Shanghai University(English Edition),2003,7(2):185-190. |
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| Authors: | Liang Wei-Wen Bin Hong-Zan |
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| Institution: | School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China |
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| Abstract: | Development of curved surface is a useful tool in CAD(computer aided design) and CAGD(computer aided geometric design).This paper presents the algorithms for developing (flattening) a smooth continuous curved surface embedded in three dimensional space into a planar shape. First the definition of planar development of a curved surface is presented, and the distortions (at length and area) of development are discussed in this paper. Then several planar flattening methods of curved surface, and their advantages and disadvantages are analyzed in detail. For NURBS(non uniform rational basic spline) surfaces, which are broadly used in CAGD, we put forward a new planar developing algorithm, i.e. hybrid developing, and present the steps of the algorithm. At last, some examples are used to show the effectiveness of the algorithm. |
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| Keywords: | planar development curved surfaces NURBS |
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