Method for Detecting Anomalous Deformation
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Abstract
Anomalous deformation detection is an important step for the whole block movement analysis because the moving trend of the whole block not have been got if the anomalous deformation could not be eliminated.Anomalous deformation detection has some similarities to the gross error detection,so it was previously implemented by the method of detecting gross errors,e.g.hypothesis test method or robust estimation method.Quasi-accurate method is a new approach to de-tect the gross errors,so this paper extends it to detect anomalous deformations.The new method takes the real errors as the study object so it can avoid the defects of taking least square residuals and their function as the study object.The method is that the real errors are calculated directly by adding the condition that the norm of quasi-accurate observations is minimum.The key of it is how to select the quasi-accurate observations(QAOs) correctly.A successful scheme is that the QAOs are chosen through preliminary and fine choices because we do not know which observations have the anomalous deformations in advance.First,the observations are classified into four classes,"0 Sort","1 Sort"," 2 Sort"," 3 Sort",according to a certain criterion.The QAOs are selected finely according to the magnitudes of the estimators of real errors.The fine selection ends till the QAOs do not vary.The observations corresponding to the greater magnitudes of the estimators of real errors are the anomalous observations.
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