The fairness ofNURBS curve one of*the6,* essental problems ofcurveand sè›ce design,has alwnys been the key problem researched by mèŠåˆ°å±±hors.houghm盯Vresultsh盯ebeenprese0比d,there stifleDstsomeproblems,such as lowï¼leveled automation,no urufied cntenon,and impquaç«‹fly ofcalculatlon and low efficiency ofcal刚latlon.å·usthesls takeakesall these factors Into he consideration,and offers some solutions. 1.Tabe curvstllYC curve as tolerance cntenon m he calculation of fairness,and make use of he technologies of removal knot,msert not,andmodifywe冶NofratlonalMe,the ttomatlc fairness ofnonï¼unlhrmftftlona1Bï¼sphne cåˆ e re acmeved. 2.Succeed to he idea of multiï¼resolution,acIUeved multiï¼resolute eXpression andè´Ÿfiness ofå«aslï¼urn仿m Bï¼Splineï¼›adå©ted a new calculation ofinner product n linear'Space, ac*eve a more sllnple calculation of decoå‘·ose and reconså’–cton of multl+esolutlon, and ahigher efficiency of*theency result onthe condition ofpreclse resultoffairness,offerthe ww ofå«oldmgthe errordllflllgthe calculation of fairness,make the curve atan the fairness to its maximum. 3.Apply multiï¼resolution to nonï¼mform Bï¼Spline curve and NURBS curve,take curvatUre curve as criterion n the calculaton offaimess,usethe multiï¼resolution ofnonï¼unlformB一å©line cçš¿e n fairness calculatlo马 andprovlde abaslc oPWon眈o碰he use ofmultl+esolutlon MIAnS curve In fairness calculatlofl...
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