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A Novel Hybrid Approachto the Estimation of Biophysical Parametersfrom Remotely Sensed DataLuca Pasolli1,2Lorenzo Bruzzone1Claudia Notarnicola2E-mail:luca.pasolli@disi.unitn.itluca.pasolli@eurac.eduWeb page: http://rslab.disi.unitn.ithttp://www.eurac.edu
2OutlineIntroduction and Motivation1Aim of the Work2Proposed Hybrid Estimation Approach3Experimental Analysis4Discussion and Conclusion5IEEE International Geoscience and Remote Sensing Symposium IGARSS 2011   Vancouver, Canada – 24-29 July, 2011
3Introduction and MotivationInvestigatedTopic: EstimationofBiophysicalParametersfromRemotelySensed DataESTIMATIONSYSTEMTarget Biophysical Parameter EstimatesRemotely Sensed DataPrior InformationIMPORTANCE:Efficient and effective way forspatially and temporallymappingbiophysicalparameters at local, regional and global scale
Supportformanyapplicationdomains:
Naturalresources management
Climatechange and environmentakriskassessmentCHALLENGES:Complexity and non-linearityof the relationship (mapping) betweenremotelysensed data and output target parameter
Limitedavailabilityofprior information
FieldreferencesamplesIEEE International Geoscience and Remote Sensing Symposium IGARSS 2011   Vancouver, Canada – 24-29 July, 2011
4Introduction and MotivationThe EstimationProblemimplies the Definitionof a MappingFunction:InputRemotely Sensed VariablesContinuous Target Biophysical VariableMapping FunctionTheoretical Forward ModelInversionEmpirical ModelDevelopmentTheoretical Forward ModelInversion TechniqueReference SamplesRegression TechniqueIterative Methods
Look Up Tables
Machine LearningModelization of the Physical ProblemParametric / Non-ParametricRegressionStrength: Good robustness and generalization abilitysolid physical foundation
ideally no reference samples requiredWeakness:Limited accuracy in specificdomainssimplifications due to analytical modelization
no modelization of specific application issuesStrength:Good accuracy in specificdomainsideally no analytical simplifications
implicit modelization of specific application issuesWeakness:Limitedrobustness and generalization abilitywell representative reference samples required
site and sensor dependencyIEEE International Geoscience and Remote Sensing Symposium IGARSS 2011   Vancouver, Canada – 24-29 July, 2011
5Aimof the WorkToDevelop a Novel Hybrid Approachto the Estimation of BiophysicalVariablesfrom Remote Sensing DataThe proposedapproachaims at improvingboth the accuracy and the robustnessof the estimates
isbased on the integrationoftheoreticalforwardmodel and available (few) referencesampesREFERENCESAMPLESTHEORETICALFORWARD MODELAccuracyin specificdomainsHYBRIDESTIMATION APPROACHRobustness and Generalization AbilityIEEE International Geoscience and Remote Sensing Symposium IGARSS 2011   Vancouver, Canada – 24-29 July, 2011
6Proposed Approach: Problem FormulationGeneral Estimation ProblemContinuous Target Biophysical VariableInputRemotely Sensed VariablesTHEORETICAL FORWARD MODEL+INVERSION TECHNIQUEDesired Mapping FunctionDeviation FunctionREFERENCESAMPLESHybridEstimationFunctionIEEE International Geoscience and Remote Sensing Symposium IGARSS 2011   Vancouver, Canada – 24-29 July, 2011
7Proposed Approach: ProblemFormulationExample:EstimationProblemwithtwo Input Variables(x1,x2)Goal: To associate a target parameter estimate ŷ to each position of the input spaceTheoreticalForwardModel+InversionTechniqueAvailable (few) ReferenceSamples2-dimensional input spaceIEEE International Geoscience and Remote Sensing Symposium IGARSS 2011   Vancouver, Canada – 24-29 July, 2011
8Proposed Approach: Characterization of δ(.)Hypothesis:pointsclose in the input spacehavesimilarvaluesofδ(.)Idea:to exploit the deviationassociatedwith the availableReferenceSamples2-dimensional input spaceIEEE International Geoscience and Remote Sensing Symposium IGARSS 2011   Vancouver, Canada – 24-29 July, 2011

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