%0 Journal Article %T P3P问题的危险圆柱为什么是危险的 %A 张彩霞 %A 胡占义 %J 自动化学报 %P 504-511 %D 2006 %X ?ThePnPproblemisawidelyusedtechniqueforposedeterminationincomputervisioncommunity,andfindingoutgeometricconditionsofmultiplesolutionsistheultimateandmostdesirablegoalofthemulti-solutionanalysis,whichisalsoakeyresearchissueoftheproblem.Inthispaper,weprovethatgiven3controlpoints,ifthecamera'sopticalcenterliesontheso-called"dangercylinder"andisenoughfarfromthesupportingplaneofcontrolpoints,thecorrespondingP3Pproblemmusthave3positivesolutions.Thisresultcanbringsomenewinsightsintoabetterunderstandingofthemulti-solutionproblem.Forexample,itisshownintheliteraturethatthesolutionoftheP3Pproblemisinstableiftheopticalcenterliesonthisdangercylinder,wethinksuchoccurrenceoftriple-solutionistheprimarysourceofthisinstability. %K TheP3Pproblem %K thedangercylinder %K instabilityofsolution %U http://www.aas.net.cn/CN/abstract/abstract14390.shtml