简介:Letp(z)=beapolynomialdegreenandletThenaccord-ingtoBernstein’sinequality||p’||
简介:Inthispaper,itisprovedthat,given3controlpointsA,BandC,ifthecamera'sopticalcenterOliesononeofthethreeplanesperpendiculartotheplaneABCandgoingthroughoneofthethreealtitudesofthetriangleABC,andadditionallyitsprojectionontheplaneABCiswithinthecircumscribedcircleofthetriangle,thatis,Oiswithintheso-called'dangercylinder',thenthecorrespondingP3Pproblem{O,(ABC)}musthave4positivesolutions.Thisresultispurelygeometrical,andmoreinstructive.Itcanbringsomenewinsightintoabetterunderstandingofmultiple-solutionprobleminthePnPproblem,andcouldbeusedassometheoreticalguidetoarrangecontrolpointsinrealapplications.