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RESEARCH AND REALIZATION OF MUTUAL TRIMMING OF NURBS
作者姓名:Shen Qingyun  Zhou Laishui  Zhou Rurong
作者单位:Research Center of CAD/CAM Engineering,Nanjing University ofAeronautics and Astronautics,Nanjing,210016,China
摘    要:Sincetheearly199Os,someCAD/CAMsystems,suchasUG1,SuperMan,havebeenbasedontrimmedsurfacesinsurfacemedelling.Fortheflexibilityandconvenienceofsurfacemodelling,mutualtrimmingbetweentwosurfacesisoftendesired,soitisnecessarytostudythetechniqueofmutualtrimmingofsurfaces.Duringrecentyears,therehadbeensomepapersontrimmedsurfacel~4JamongwhichRef.2jpresentedacomparativelycomprehensiveandsystematicintroductiontotrimmingofNURBSsurface.Nevertheless,accordingtoRef.L2],retrimmingofatrimmedsurfaceisn…


RESEARCH AND REALIZATION OF MUTUAL TRIMMING OF NURBS
Shen Qingyun, Zhou Laishui, Zhou Rurong.RESEARCH AND REALIZATION OF MUTUAL TRIMMING OF NURBS[J].Chinese Journal of Aeronautics,1997(2).
Authors:Shen Qingyun  Zhou Laishui  Zhou Rurong
Abstract:Since regular surface is defined by a mapping from 2-D parameter plane to 3-D space, trimming of NURBS surface is equivalent to changing a valid parameter region ofthe surface with the same mapping. In this paper, by presenting a rigid and comprehensi-ble definition of union, difference and intersection of two intersecting loops in the parame-ter region of NURBS surface, and by working out the corresponding algorithm, a rebui1d-ing algorithm of the valid parameter region of NURBS surface is obtained.
Keywords:contours  surfaces  computer aided design  parametric surface  nonuniform rational B-spline
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