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zfxy-spec: ZFXY specifications

Definition

Three-dimentional spatial identifier candidate ZFXY of a point with longitude lng [decimal degrees], latitude lat [decimal degrees] (lat_rad in radians), and elevation h [m] shall be encoded {z}/{f}/{x}/{y} when a zoom level z is given as an integer and f, x, y are given in the following formulae:

  • f = floor(n * h / H)
  • x = floor(n * ((lng + 180) / 360))
  • y = floor(n * (1 - log(tan(lat_rad) + (1 / cos(lat_rad))) / PI) / 2) where n = 2 ^ z, Z = 25 and H = 2 ^ Z [m].

Definitions of z, x, y are the same as ones in the industry standard Slippy Map Tilenames.

Characteristics

  • Height of a voxel represented by a ZFXY with z=Z is 1 [m].

Future considerations

  • More compact encodings of ZFXY may be considered in future.
  • The value of Z is still subject to change.