简介:Curvemodelingisoneofthebasicworkincomputeraidedgeometricdesignandcomputergraphics.Fortheimplicitconicfittingprobleminthispaper,theresearchmethodsthattheobjectivefunctionbasedontheminimalalgebraicdistanceandgeometricdistancearesummarized.Theadvantagesanddisadvantagesofeverymethodareanalyzedsimply,andtheapplicationsoftheconicfittingarelisted.
简介:Inarecentarticle,theauthorsprovidedaneffectivealgorithmforbothcomputingtheglobalinfimumof/anddecidingwhetherornottheinfimumof/isattained,where/isamultivariatepolynomialoverthefieldRofrealnumbers.Asacomplement,theauthorsinvestigatethesemialgebraicallyconnectedcomponentsofminimumpointsofapolynomialfunctioninthispaper.Foragivenmultivariatepolynomial/overR,itisshownthattheabove-mentionedalgorithmcanfindatleastonepointineachsemi-algebraicallyconnectedcomponentofminimumpointsof/whenever/hasitsglobalminimum.