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1、4.2gšþ!B^•‚†gB^•‚=z........334.3ngBezier•‚†gšþ!B^•‚©^‡.......364.3.1G01w©......................364.3.2G11w©......................374.3.3G21w©......................391115ÙÙÙ˜˜˜aaannngggBezier•••‚‚‚***ÐÐÐ415.1Úó..............................415.2T-Bezier•‚ļê(†5Ÿ..............425.
2、2.1T-Bezier•‚5Ÿ..................425.2.2T-Bezier•‚©..................455.3T-Bezier•‚A^.....................475.3.1/GëêŠ^...................475.3.2°(L«......................475.3.3s‹ã/........................48ëëë•••©©©zzz49ôôôÖÖÖaaa¬¬¬ÆÆÆÏÏÏmmmuuuLLLØØØ©©©53———55Á‡Bezier•{´•‚•¡E.¥˜‡
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5、^B^•‚BezierE•{,$^Bezier•
6、‚©Eâ,¢yB^•‚ÚBezier•‚©,‰ÑngBezier•‚†gþ!B^•‚G0!G1!G2©^‡.2g,
7、^NURBS•‚†knBezier•‚ƒp=z•{,¢yšþ!B^•‚†Bezier•‚ƒp=†,rngBezier•‚†gšþ!B^•‚©¯K=z•ngBezier•‚†gBezier•‚©¯K,ÑngBezier•‚†gšþ!B^•‚1w©^‡.• ,½Â˜
8、¹˜‡/Gëêngõ‘ª,©Ûù
9、ļê5Ÿ,?Ø•‚/GŒN5,‰Ñ•‚m©^‡±93•‚•¡E.¥A^¢~.'''………ccc:Bezier
10、•‚;B^•‚;-Bezier•‚;NURBS•‚;1w©iAbstractTheBeziermethodisamilepostintheeldofcurvesandsurfacemodeling,itisbasedontheapproximabilityprinciple.ApplyingwithBeziermethod,wecanconvenientlyapproximatethemathematicalcurvesandsurfaces,orthesketchisde-lineatedbythedesigner,playingtheroleof"aideddesign"
11、genuinely,However,duetothecomplexshapeofthelineandsurfaceinthepracticalapplication,itisdiculttouseasinglecurve!surfacetodescribeitsappearanceperfectly.Therefore,howtosmoothyconnectcurves!surfacesbecomesthekeytoexpressacomplexcombi-nationofcurvesandsurfaces.Inthisthesis,Firstly,A-Beziercurvesisg
12、iven,thecurvescangeneratedierentcurvesapproximatingtheuniedcontrolpolygonbychoosingdierentparametercurves,achievingmoreaccuratedesignforthere-quiredcurves.SplicingtheoremofthecurvesandtheBeziercur