Research On The Fairness Of NURBS Curve

The fairness ofNURBS curve one of＊the6,＊ essental problems ofcurveand s蛐ce design,has alwnys been the key problem researched by m聊到山hors．houghm盯Vresultsh盯ebeenprese0比d,there stifleDstsomeproblems,such as low－leveled automation,no urufied cntenon,and impqua立fly ofcalculatlon and low efficiency ofcal刚latlon．川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 ofnon－unlhrmftftlona1B－sphne c删e re acmeved． 2．Succeed to he idea of multi－resolution,acIUeved multi－resolute eXpression and负finess of叫asl－urn仿m B－Spline；ad叩ted a new calculation ofinner product n linear'Space, ac＊eve a more sllnple calculation of deco呷ose and recons咖cton of multl＋esolutlon, and ahigher efficiency of＊theency result onthe condition ofpreclse resultoffairness,offerthe ww of叫oldmgthe errordllflllgthe calculation of fairness,make the curve atan the fairness to its maximum． 3．Apply multi－resolution to non－mform B－Spline curve and NURBS curve,take curvatUre curve as criterion n the calculaton offaimess,usethe multi－resolution ofnon－unlformB一叩line c皿e n fairness calculatlo马 andprovlde abaslc oPWon眈o碰he use ofmultl＋esolutlon MIAnS curve In fairness calculatlofl...