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Modern Geomatics Technologies and Applications

                                                       (z + z + ⋯ z )  (1)
                                                         1
                                                             2
                                                                   i
                                                   μ =
                                                             k


                                                                       (2)
                                                    2
                                          2
                                  [(z − μ) + (z − μ) + ⋯ + (z − μ) ]
                                                                  2
                                               2
                                                             i
                                     1
                            σ = √(                                  )
                                                  k
                              Non − Noisy           μ − α × σ ≤ z ≤ μ + α × σ  (3)
                        NR = {                                      }
                                   Noisy            Otherwise
               Noise Removal algorithm is summarized below:













                                                 Figure 5. Noise Removal algorithm


                2.1.3 Ground Removing: After removing the noise, the area along X and Y axis are divided into a M × M grid. The
            minimum altitude inside each cell is identified and then all the points of the cells are moved along the Z axis, where the
            minimum altitude will be zero. Finally, a predefined threshold is considered to filter low-height objects.





























                                        Figure 6. Method of removing ground points using gridding




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