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   r.slope.aspect generates raster maps of slope, aspect, curvatures and
   first and second order partial derivatives from a raster map of true
   elevation values. The user must specify the input elevation file name
   and at least one output file name. The user can also specify the format
   for slope (degrees, percent; default=degrees), and the zfactor:
   multiplicative factor to convert elevation units to meters; (default
   1.0).

   The elevation input raster map specified by the user must contain true
   elevation values, not rescaled or categorized data. If the elevation
   values are in feet or other units than meters (with a conversion factor
   meters:, defined in PROJ_UNITS), they must be converted to meters using
   the parameter zfactor.

   The aspect output raster map indicates the direction that slopes are
   facing. The aspect categories represent the number degrees of east.
   Category and color table files are also generated for the aspect map
   layer. The aspect categories represent the number degrees of east and
   they increase counterclockwise: 90deg is North, 180 is West, 270 is
   South 360 is East. The aspect value 0 is used to indicate undefined
   aspect in flat areas with slope=0.

   The slope output raster map contains slope values, stated in degrees of
   inclination from the horizontal if format=degrees option (the default)
   is chosen, and in percent rise if format=percent option is chosen.
   Category and color table files are generated.

   Profile and tangential curvatures are the curvatures in the direction
   of steepest slope and in the direction of the contour tangent
   respectively. The curvatures are expressed as 1/metres, e.g. a
   curvature of 0.05 corresponds to a radius of curvature of 20m.

   For some applications, the user will wish to use a reclassified raster
   map of slope that groups slope values into ranges of slope. This can be
   done using [1]r.reclass. An example of a useful reclassification is
   given below:
          category      range   category labels
                     (in degrees)    (in percent)

             1         0-  1             0-  2%
             2         2-  3             3-  5%
             3         4-  5             6- 10%
             4         6-  8            11- 15%
             5         9- 11            16- 20%
             6        12- 14            21- 25%
             7        15- 90            26% and higher

     The following color table works well with the above
     reclassification.

          category   red   green   blue

             0       179    179     179
             1         0    102       0
             2         0    153       0
             3       128    153       0
             4       204    179       0
             5       128     51      51
             6       255      0       0
             7         0      0       0

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   To ensure that the raster elevation map layer is not inappropriately
   resampled, the settings for the current region are modified slightly
   (for the execution of the program only): the resolution is set to match
   the resolution of the elevation map and the edges of the region (i.e.
   the north, south, east and west) are shifted, if necessary, to line up
   along edges of the nearest cells in the elevation map. If the user
   really wants the elevation map resampled to the current region
   resolution, the -a flag should be specified.

   The current mask is ignored.

   The algorithm used to determine slope and aspect uses a 3x3
   neighborhood around each cell in the elevation file. Thus, it is not
   possible to determine slope and aspect for the cells adjacent to the
   edges in the elevation map layer. These cells are assigned a "zero
   slope" value (category 0) in both the slope and aspect raster map
   layers.

   Horn's formula is used to find the derivatives in x and y directions.

   Only when using integer elevation models, the aspect is biased in 0,
   45, 90, 180, 225, 270, 315, and 360 directions; i.e., the distribution
   of aspect categories is very uneven, with peaks at 0, 45,..., 360
   categories. When working with floating point elevation models, no such
   aspect bias occurs.

   Because most cells with a very small slope end up having category 0,
   45, ..., 360, it is sometimes possible to reduce the bias in these
   directions by filtering out the aspect in areas where the terrain is
   almost flat. A new option min_slp_allowed was added to specify the
   minimum slope for which aspect is computed. The aspect for all cells
   with slope < min_slp_allowed is set to null.

ССЫÐÐÐ

   Horn, B. K. P. (1981). Hill Shading and the Reflectance Map,
   Proceedings of the IEEE, 69(1):14-47.

СÐ. ТÐÐÐÐ

   [2]r.mapcalc, [3]r.neighbors, [4]r.reclass, [5]r.rescale

ÐÐТÐРЫ

   Michael Shapiro, U.S.Army Construction Engineering Research Laboratory

   Olga Waupotitsch, U.S.Army Construction Engineering Research Laboratory

   Last changed: $Date: 2006-11-19 02:50:25 -0600 (ÐÑ, 19 Ð½Ð¾Ñ 2006) $

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References

   1. file://localhost/root/tmp/2/fin/r.reclass.html
   2. file://localhost/root/tmp/2/fin/r.mapcalc.html
   3. file://localhost/root/tmp/2/fin/r.neighbors.html
   4. file://localhost/root/tmp/2/fin/r.reclass.html
   5. file://localhost/root/tmp/2/fin/r.rescale.html