04. ROBUST ESTIMATION FOR DETECTION OF FLATNESS DEFECTS
Shape verification is a common task in engineering, geodetic practice and rely on fitting the theoretical model describing the object in its actual shape. The theoretical model (e.g. plane) is defined in the design documentation, while the actual shape of the object is determined by points that are defined as a result of geodetic measurements. The shape verification is determined at the moment when the measurement was performed. The paper concerns the use of robust estimation methods to the study of flatness of the object measured by geodetic methods. Conducted studies involving the simulation of displacements (imperfec-tions) of a known size and their detection by fitting a plane surface model using the weighted least squares method and robust estimation methods. The conducted research indicates the predominance of robust estimation methods to the classic method of least squares in the matter of resistance to incidental values of deviations from the plane surface that may have a source both in the actual imperfection and in the errors of the measurement nature.
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- AuthorMarek Banaś et al.
- AffiliationInstitute of Technical Engineering, Jaroslaw
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