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基于四元数的机器人手眼标定算法 Title:AQuaternion-basedAlgorithmforRobotHand-EyeCalibration Abstract: Robothand-eyecalibrationisacriticaltaskinroboticmanipulationsystemsasitenablesprecisecoordinationbetweentherobothandanditsexternalsensingdevices,suchascameras.Inrecentyears,quaternion-basedalgorithmshavegainedsignificantattentionduetotheirabilitytorepresenttheorientationofobjectsandcamerasinamoreaccurateandconcisemanner.Thispaperpresentsaquaternion-basedalgorithmforrobothand-eyecalibrationthatleveragestheadvantagesofquaternionstoimprovecalibrationaccuracy.Thealgorithmisexplainedindetail,withafocusonthemathematicalfoundationsandimplementationsteps.Experimentalresultsdemonstratethesuperiorityoftheproposedalgorithmcomparedtotraditionalmethods,showcasingitspotentialforpracticalapplicationsinavarietyofroboticsystems. 1.Introduction -Backgroundandsignificanceofrobothand-eyecalibration -Challengesandlimitationsoftraditionalcalibrationmethods -Advantagesofquaternionrepresentationinrobotics 2.MathematicalFoundations -Briefintroductiontoquaternionsandtheirproperties -Quaternionsasrepresentationsof3Drotations -Quaternionalgebraandoperations 3.ProblemFormulation -Definitionoftherobothand-eyecalibrationproblem -Notationsandconventionsusedintheproblemformulation 4.Quaternion-basedCalibrationAlgorithm -Overviewandhigh-levelstepsofthealgorithm -Quaternion-basedposeestimationforhandandeye -Computationofthetransformationmatrixusingquaternions -Optimizationschemeforcalibrationrefinement 5.ImplementationDetails -Hardwareandsoftwarerequirementsforimplementingthealgorithm -Acquisitionofcalibrationdatausinganappropriatesetup -Necessarypre-processingstepsfordatapreparation -Algorithmimplementationusingaprogramminglanguage(e.g.,Python,MATLAB) 6.ExperimentalEvaluation -Detaileddescriptionoftheexperimentalsetup -Comparisonwithtraditionalcalibrationmethods -Evaluationmetricsandanalysisofresults 7.Discussion -Advantagesandlimitationsoftheproposedalgorithm -Potentialapplicationsandfutureresearchdirections -Impo