**-m**- Use meters to define search units (default is cells)
**-e**- Use extended form correction
**--overwrite**- Allow output files to overwrite existing files
**--help**- Print usage summary
**--verbose**- Verbose module output
**--quiet**- Quiet module output
**--ui**- Force launching GUI dialog

**elevation**=*name***[required]**- Name of input elevation raster map
**forms**=*name*- Most common geomorphic forms
**ternary**=*name*- Code of ternary patterns
**positive**=*name*- Code of binary positive patterns
**negative**=*name*- Code of binary negative patterns
**intensity**=*name*- Rasters containing mean relative elevation of the form
**exposition**=*name*- Rasters containing maximum difference between extend and central cell
**range**=*name*- Rasters containing difference between max and min elevation of the form extend
**variance**=*name*- Rasters containing variance of form boundary
**elongation**=*name*- Rasters containing local elongation
**azimuth**=*name*- Rasters containing local azimuth of the elongation
**extend**=*name*- Rasters containing local extend (area) of the form
**width**=*name*- Rasters containing local width of the form
**search**=*integer***[required]**- Outer search radius
- Default:
*3* **skip**=*integer***[required]**- Inner search radius
- Default:
*0* **flat**=*float***[required]**- Flatenss threshold (degrees)
- Default:
*1* **dist**=*float***[required]**- Flatenss distance, zero for none
- Default:
*0* **prefix**=*string*- Prefix for maps resulting from multiresolution approach
**step**=*float*- Distance step for every iteration (zero to omit)
- Default:
*0* **start**=*float*- Distance where serch will start in multiple mode (zero to omit)
- Default:
*0*

Geomorphon is a new concept of presentation and analysis of terrain
forms. This concept utilises 8-tuple pattern of the visibility
neighbourhood and breaks well known limitation of standard calculus
approach where all terrain forms cannot be detected in a single window
size. The pattern arises from a comparison of a focus pixel with its eight
neighbors starting from the one located to the east and continuing
counterclockwise producing ternary operator. For example, a tuple
{+,-,-,-,0,+,+,+} describes one possible pattern of relative measures
{higher, lower, lower, lower, equal, higher, higher, higher} for pixels
surrounding the focus pixel. It is important to stress that the visibility
neighbors are **not necessarily an immediate neighbors** of the focus
pixel in the grid, but the pixels determined from **the line-of-sight**
principle along the eight principal directions. This principle relates
surface relief and horizontal distance by means of so-called zenith and
nadir angles along the eight principal compass directions. The ternary
operator converts the information contained in all the pairs of zenith and
nadir angles into the ternary pattern (8-tuple). The result depends on the
values of two parameters: search radius (L) and relief threshold (d). The
search radius is the maximum allowable distance for calculation of zenith
and nadir angles. The relief threshold is a minimum value of difference
between LOSs angle (zenith and nadir) that is considered significantly
different from the horizon. Two lines-of-sight are necessary due to zenith
LOS only, does not detect positive forms correctly.

There are 38 = 6561 possible ternary patterns (8-tuplets). However by eliminating all patterns that are results of either rotation or reflection of other patterns wa set of 498 patterns remain referred as geomorphons. This is a comprehensive and exhaustive set of idealized landforms that are independent of the size, relief, and orientation of the actual landform.

Form recognition depends on two free parameters: **Search radius**
and **flatness threshold**. Using larger values of L and is tantamount
to terrain classification from a higher and wider perspective, whereas
using smaller values of L and is tantamount to terrain classification from
a local point of view. A character of the map depends on the value of L.
Using small value of L results in the map that correctly identifies
landforms if their size is smaller than L; landforms having larger sizes
are broken down into components. Using larger values of L allows
simultaneous identification of landforms on variety of sizes in expense of
recognition smaller, second-order forms. There are two addational
parameters: **skip radius** used to eliminate impact of small
irregularities. On the contrary **flatness distance** eliminates the
impact of very high distance (in meters) of search radius which may not
detect elevation difference if this is at very far distance. Important
especially with low resolution DEMS.

**-m**- All distance parameters (search, skip, flat distances) are supplied as meters instead of cells (default). To avoid situation when supplied distances is smaller than one cell program first check if supplied distance is longer than one cell in both NS and WE directions. For LatLong projection only NS distance checked, because in latitude angular unit comprise always bigger or equal distance than longitude one. If distance is supplied in cells, For all projections is recalculated into meters according formula:
`number_of_cells*resolution_along_NS_direction`

. It is important if geomorphons are calculate for large areas in LatLong projecton. **elevation**- Digital elevation model. Data can be of any type and any projection. During calculation DEM is stored as floating point raster.
**search**- Determines length on the geodesic distances in all eight directions where line-of-sight is calculated. To speed up calculation is determines only these cells which centers falls into the distance
**skip**- Determines length on the geodesic distances at the beginning of calculation all eight directions where line-of-sight is yet calculated. To speed up calculation this distance is always recalculated into number of cell which are skipped at the beginning of every line-of-sight and is equal in all direction. This parameter eliminates forms of very small extend, smaller than skip parameter.
**flat**- The difference (in degrees) between zenith and nadir line-of-sight which indicate flat direction. If higher threshold produce more flat maps. If resolution of the map is low (more than 1 km per cell) threshold should be very small (much smaller than 1 degree) because on such distance 1 degree of difference means several meters of high difference.
**dist**- >Flat distance. This is additional parameter defining the distance above which the threshold starts to decrease to avoid problems with pseudo-flat line-of-sights if real elevation difference appears on the distance where its value is higher DO POPRAWKI
**form**- Returns geomorphic map with 10 most popular terrestrial forms. Legend for forms, its definition by the number of
*+*and*-*and its idealized visualisation are presented at the image.### Forms represented by geomorphons:

**pattern**- returns code of one of 498 unique ternary patterns for every cell. The code is a decimal representation o 8-tuple minimalised patterns written in ternary system. Full list of patterns is available in source code directory as patterns.txt. This map can be used to create alternative form classification using supervised approach
**positive and negative**- returns codes binary patterns for zenith (positive) and nadir (negative) line of sights. The code is a decimal representation o 8-tuple minimalised patterns written in binary system. Full list of patterns is available in source code directory as patterns.txt

*NOTE: parameters below are very experimental. The usefulness of these parameters are currently under investigation*

**intensity**- returns avarage difference between central cell of geomorphon and eight cells in visibility neighbourhood. This parameter shows local (as is visible) exposition/abasment of the form in the terrain
**range**- returns difference between minimum and maximum values of visibility neighbourhood.
**variance**- returns variance (difference between particular values and mean value) ofvisibility neighbourhood.
**extend**- returns area of the polygon created by the 8 points where line-of-sight cuts the terrain (see image in description section).
**azimuth**- returns orientation of the poligon constituting geomorphon. This orientation is currentlyb calculated as a orientation of least square fit line to the eight verticles of this polygon.
**elongation**- returns proportion between sides of the bounding box rectangle calculated for geomorphon rotated to fit lest square line.
**width**- returns length of the shorter side of the bounding box rectangle calculated for geomorphon rotated to fit lest square line.
- Stepinski, T., Jasiewicz, J., 2011, Geomorphons - a new approach to classification of landform, in : Eds: Hengl, T., Evans, I.S., Wilson, J.P., and Gould, M., Proceedings of Geomorphometry 2011, Redlands, 109-112 (PDF)
- Jasiewicz, J., Stepinski, T., 2013, Geomorphons - a pattern recognition approach to classification and mapping of landforms, Geomorphology, vol. 182, 147-156 (DOI: 10.1016/j.geomorph.2012.11.005)

g.region raster=eu_dem_25m -p r.geomorphon elevation=eu_dem_25m forms=eu_dem_25m_geomorph # verify terrestrial landforms found in DEM r.category eu_dem_25m_geomorph 1 flat 2 summit 3 ridge 4 shoulder 5 spur 6 slope 7 hollow 8 footslope 9 valley 10 depression

r.mapcalc expression="eu_dem_25m_summits = if(eu_dem_25m_geomorph == 2, 1, null())" r.thin input=eu_dem_25m_summits output=eu_dem_25m_summits_thinned r.to.vect input=eu_dem_25m_summits_thinned output=eu_dem_25m_summits type=point v.info input=eu_dem_25m_summits

*Last changed: $Date: 2018-10-18 12:13:18 -0700 (Thu, 18 Oct 2018) $*

Available at: r.geomorphon source code (history)

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