资源描述：
《A Tutorial with Application to Conic Fitting.pdf》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、arameterEstimationTechniques:ATutorialwithApplicationtoConicFittingZhengyouZhangRA,2004routedesucioles,B93,F-06902Sophia-AntipolisCedex,FranceEmail:zzhang@sophia.inria.frFax:(+3)93657845AbstractAlmostallproblemsincomputervisionarerelatedinoneformoranothertotheproblemofe
2、stimatingparametersfromnoisydata.nthistutorial,wepresentwhatisprobablythemostcommonlyusedtechniquesforparameterestimation.Thesein-cludelinearleast-squares(pseudo-inverseandeigenanalysis);orthogonalleast-squares;gradient-weightedleast-squares;bias-correctedrenormalization;al
3、man ltering;andro-busttechniques(clustering,regressiondiagnostics,-estimators,leastmedianofsquares).articularattentionhasbeendevotedtodiscussionsaboutthechoiceofappropriatemini-mizationcriteriaandtherobustnessofthedi erenttechniques.Theirapplicationtoconic ttingisdescribed.
4、eywords:arameterestimation,east-squares,Biascorrection,alman ltering,RobustregressionThispaperappearedinmageandVisionComputing,Vol.15,o.1,pages59-76,anuary1997.1Contents1ntroduction32AGlanceoverarameterEstimationinGeneral33ConicFittingroblem44east-SquaresFittingBas
5、edonAlgebraicDistances44.1ormalizationwithA+C=1..........................52222224.2ormalizationwithA+B+C+D+E+F=1.............54.3ormalizationwithF=1.............................75east-SquaresFittingBasedonEuclideanDistances85.1Whyarealgebraicdistancesusuallynotsatisfactor
6、y?.............85.2rthogonaldistance tting............................96GradientWeightedeast-SquaresFitting127Bias-CorrectedRenormalizationFitting138almanFilteringTechnique168.1almanFilter....................................168.2ApplicationtoConicFitting..................
7、..........189RobustEstimation199.1ntroduction.....................................199.2ClusteringorHoughTransform..........................209.3RegressionDiagnostics...............................219.4-estimators....................................229.5eastedianofSquares.
8、.............................2710TwoExamples2910.1oisydatawithoutou
