| PRACTICAL G~2 CONTINUITY ALGORITHMS BETWEEN ADJACENT NURBS PATCHES |
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| 作者姓名： | Zhou Xijun Yang Haicbeng |
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| 作者单位： | Research Center for Computer Aided Design and Mannufacturing，NorthwesternPolytehnical University，Xi'an，710072，China |
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| 摘 要： | Geometriccontinuityiswidelyrecognizedastheappropriatewaytofittogethertwoadja-centsurfacepatchesinCAD/CAM.ItavoidsdePendenceofparametrizatinnandprovidesaddi-tionalparametersformodelingtheshapes.Apatchworktechniqueconstructsanycompositesurfacestraightforwardly,patchbypatch.ThetangentplanecontinuityG1andcurvaturecon-tinuityG2ofparametricsurfacepatcheshavebeenstudied1~6J-AlltheseresearchersworkwithsurfacepatchesinBezierformandrationalBezierform.IncontrasttoNURBSsurface,BezierandrationalBe…
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PRACTICAL G~2 CONTINUITY ALGORITHMS BETWEEN ADJACENT NURBS PATCHES |
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| Zhou Xijun, Yang Haicbeng.PRACTICAL G~2 CONTINUITY ALGORITHMS BETWEEN ADJACENT NURBS PATCHES[J].Chinese Journal of Aeronautics,1997(2). |
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| Authors: | Zhou Xijun Yang Haicbeng |
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| Abstract: | Non-uniform rationa1 B-spline (NURBS) curves and sdrices are becomingincreasingly widespread. 'The authors have explored G1 continuity condition between adja-cent NURBS surface patches along common boundary curve. This paper presents a G2continuity condition between adjacent NURBS patches along common quadratic boundarycurve and deduces a specific algorithm for control Points and weights of NURBS patch.For making another NURBS patch and one given NURBS patch to attain G2, according toalgorithms condition, one can adjust another patch control ponts and weights. It is muchmore convenient for engineers to apply. |
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| Keywords: | contours surfaces models nonuniform rational B-spline geometric continuity |
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