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COMPENDIUM INCLINATION MEASUREMENT
                                       WYLER AG, WINTERTHUR / SWITZERLAND

          6.4.5     CLOSURE ERROR CORRECTION ACCORDING TO PHILIPS AND  ALIGNMENT METHOD

               ACCORDING TO ISO 1101
        Introduction to the closure error correction according to “PHILIPS“
         The closure error correction according to PHILIPS is used in the WYLER grid flatness measuring method.
        At the end of a measurement, the result (flatness of a surface) can be displayed in two versions:
           •  without correction of the closure error
           •  with correction of the closure error
         When the version without the correction of the closure error is used, all these errors will be seen in nu-
        merical and graphical form. The so-called closure error is an indication of the quality of the measurement.


                                                                      closure error
               Definition of the
              “CLOSURE ERROR“
           The CLOSURE ERROR is the
            LARGEST DEVIATION of a
          measuring point in an over-deter-
         mined grid when the calculation of
         the height at this measuring point
          is done by using different paths
           (see illustration at the right).


                                               Display of a flatness measurement without
                                               correction of the closure error according
                                               to PHILIPS
                                                The correction of the closure error according
                                               to PHILIPS is a mathematical process by which
                                               a closure error of linearly spreading characteris-
                                               tic can be successfully corrected and elimina-
                                               ted.
                                                After the closure error correction a so called
                                               “Index of correction” is an indication of the “suc-
                                               cess” of the mathematical treatment. (the “In-
                                               dex of correction” is the result of the standard
                                               deviations of all the closure error corrections)



                              THE LARGER THE INDEX OF CORRECTION,
                             THE LARGER THE  MEASURING UNCERTAINTY



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