Maps of slopes and
relief roughness (ruggedness) of celestial bodies are created to make a
morthometric analysis based on processing DEM in GIS. Various methods of
calculating surface parameters are used to determine the characteristics of the
surface, each having its peculiarities. With their help it is possible to
identify artifacts and errors in DEM (are shown by arrows on the roughness maps
of the Lunokhod1 traverse), reveal large forms of the relief (area ratio
calculation), or vice versa, identify smallsized craters (standard slope
distribution).
Map «Roughness Moon surface»



Pic. A. Interquartile range on the chart of the normal distribution of any size

Pic. B. Relief roughness measure (Laplasian interquartile range)

Pic. C. Part of DEM "GLD100" (resolution 118 m/pixel)

Pic. D. Part of orthomosaic LRO WAC (resolution 75 m/pixel)

To create global maps of
the surface roughness or degree of moon relief partition used digital elevation
model (DEM) GLD100, obtained as a result of processing of space images
(Scholten et. al., 2012) wide angle camera (WAC) of CA Lunar Reconnaissance Orbiter
(LRO). As a measure of relief partition used Laplasian statistic interquartile
range (Laplace operator: a generalization of the usual second derivative of the
function of one variable  height). On the map clearly shown that part of the
moon's surface, where the bright mainland (left) and dark, socalled «sea»,
(right)pane. On the map clearly shows the smoothed old craters, releasing the
foreground General structure of the continental surface (left) and manifested
artifacts DEM caused by errors in the data  bright vertical and horizontal
lines (right).
Card roughness allow you
to visually highlight the most typical forms of the surface, when, for example,
become visible radiation emissions from the craters. In roughness contrast
cards, when looking at the surface topography image or an image (well only
identified prominent relief form.
A map of the surface roughness along the Lunokhod1 rover
travel line, created by the method of standard slope distribution calculation

A map of the surface roughness along the Lunokhod1 rover
travel line, created by the method of area ratio calculation (the
relationship of the area of a real topographical surface to the area of a
flat surface)

A map of the slope values along the Lunokhod1
rover traverse (with a 1 m base). The cutaway shows the slopes in the area
with a maximal elevation difference




Phobos' surface roughness calculated by the method of Area
Ratio

Phobos' surface roughness calculated by the method of STD
Elevation



Phobos' surface roughness calculated by the method of STD
Slope

Phobos' surface roughness calculated by the method of STD
Profile Curvature



Phobos' surface roughness calculated by the VRM method

Phobos' slope values calculated with a 100 m base


