简介:Thispaperpresentsanewbasis,theWSBbasis,whichunifiestheBernsteinbasis,Wang-BallbasisandSaid-Ballbasis,andthereforetheBéziercurve,Wang-BallcurveandSaid-BallcurvearethespecialcasesoftheWSBcurvebasedontheWSBbasis.Inaddition,therelativedegreeelevationformula,recursivealgorithmandconversionformulabetweentheWSBbasisandtheBernsteinbasisaregiven.
简介:Inthispaper,wepresentanalgorithmforreconstructionofB-splinesurfacesuchthatitinterpolatesthefourgivenboundarycurvesandsimultaneouslyapproximatessomegiveninnerpoints.Themainideaofourmethodis:first,weconstructaninitialsurfacewhichinterpolatesthefourgivenboundarycurves;then,whilekeepingtheboundarycontrolpointsoftheinitialsurfaceunchanged,werepositiontheinnercontrolpointsofthesurfacewithenergyoptimizationmethod.Examplesshowthatouralgorithmispracticableandeffective.