diff --git a/topofeatures/figs/slope_aspect.pdf b/topofeatures/figs/slope_aspect.pdf new file mode 100644 index 0000000..387360b Binary files /dev/null and b/topofeatures/figs/slope_aspect.pdf differ diff --git a/topofeatures/figs/slope_aspect.png b/topofeatures/figs/slope_aspect.png deleted file mode 100644 index 43098c6..0000000 Binary files a/topofeatures/figs/slope_aspect.png and /dev/null differ diff --git a/topofeatures/topofeatures.tex b/topofeatures/topofeatures.tex index dfda0a2..a9f4823 100755 --- a/topofeatures/topofeatures.tex +++ b/topofeatures/topofeatures.tex @@ -98,14 +98,13 @@ \subsection{Slope}% %%% \paragraph{Aspect.} At a given point $p$ on the terrain the gradient can be in any direction, the aspect is this direction projected to the $xy$-plane. -It is basically a 2D vector telling us the direction of the steepest slope at a given point. -It is usually expressed in degrees from an arbitrary direction (most often the north). +It is basically a 2D vector telling us the direction of the steepest slope at a given point; at a given location the aspect will always be perpendicular to the contour line. Observe that for the parts of the terrain that are horizontal (\eg\ a lake) the value of the aspect is unknown. -Also observe that at a given location the aspect will always be perpendicular to the contour line. - +The aspect is usually expressed as a \emph{cartographical azimuth}, +\marginnote{cartographical azimuth} +which is expressed in degrees, from the North, clockwise: $0^{\circ}$ means North, $90^{\circ}$ East, $180^{\circ}$ South, and $270^{\circ}$ West. % GDAL: % https://www.gdal.org/gdaldem.html#gdaldem_aspect -% values between 0° and 360° representing the azimuth that slopes are facing. The definition of the azimuth is such that : 0° means that the slope is facing the North, 90° it's facing the East, 180° it's facing the South and 270° it's facing the West (provided that the top of your input raster is north oriented).