GIS, Open-Source

Corner UTM Grid Labels in QGIS Print Composer

In this post I’ll demonstrate generating UTM grid labels in the QGIS print composer with formatting that promotes relevant information is a consistent way. Printing the full 6/7 figure reference on each grid interval is unnecessary and frequently unhelpful as often we need to read off/locate a 3 figure reference.

Abbreviated UTM Grid References?

When reading a UTM grid reference on a typical 1:25000-50000 scale topographic map featuring a 1km grid interval, a 6-figure grid reference (3 figures for Eastings and 3 for Northings) describes a location to 100m precision and is typically sufficient for locating a position on the map.

A full UTM grid reference describes a position to 1m precision. Therefore, we typically highlight the significant figures on the map for ease of using a 6 figure reference with the map.

Of course we might still want to know the full reference, so there should be some full grid references given. For consistency, these are often placed in the corners of the map. To find the full reference for a shortened reference, go to the left/bottom of the map and count up.

Here’s an example from a local state-issued topographic map:

Screen Shot 2017-05-10 at 12.02.15

QGIS print composer has the ability to draw and label a UTM grid. However, it’s styling options are somewhat limited out-of-the-box, restricted to a full reference at each interval.

Rendering sub/superscript labels

Most unicode-compatible fonts contain glyphs for superscript and subscript representation of ordinals:

012345678901234567890123456789

QGIS does not handle superscript/subscript formatting internally, but we can achieve the same effect by transposing the numbers with their unicode sub/super-script equivalent characters. Note that this technique is limited to the common Arabic numerals 0-9.

In the Python code below the function UTMFullLabel performs two operations:

  • Determine the non-significant figures of the reference to conditionally format. The index of those figures in the reference depends on whether the label is an Easting (6) or Northing (7).
  • Transpose those figures to subscript

The function UTMMinorLabel merely returns the significant figures. There are two functions as two separate grids are defined in the print composer, and using two formatting functions avoids also handling grid interval logic in Python.


from qgis.utils import qgsfunction
from qgis.gui import *

@qgsfunction(args="auto", group='Custom')
def UTMMinorLabel(grid_ref, feature, parent):
 return "{:0.0f}".format(grid_ref)[-5:-3]

@qgsfunction(args="auto", group='Custom')
def UTMFullLabel(grid_ref, axis, feature, parent):
 gstring="{:0.0f}".format(grid_ref)
 rstr = gstring[-3:] #3 last characters
 mstr = gstring[-5:-3] #the 5th-4th characters
 #either the 1st or 1-2 for the most sig figs depending if there 6 or 7 digits
 lstr = ''
 if (len(gstring) == 6):
 lstr = gstring[0] #first 2 digits
 elif (len(gstring) == 7):
 lstr = gstring[0:1]
 else:
 return str(len(gstring))
 return "{0}{1}{2}m{3}".format(sub_scr_num(lstr),mstr,sub_scr_num(rstr),'E' if axis == 'x' else 'N')

def sub_scr_num(inputText):
 """ Converts any digits in the input text into their Unicode subscript equivalent.
 Expects a single string argument, returns a string"""
 subScr = (u'\u2080',u'\u2081',u'\u2082',u'\u2083',u'\u2084',u'\u2085',u'\u2086',u'\u2087',u'\u2088',u'\u2089')
 outputText = ''
 for char in inputText:
 charPos = ord(char) - 48
 if charPos <0 or charPos > 9:
 outputText += char
 else:
 outputText += subScr[charPos]
 return outputText

For superscript formatting the transposition is:

supScr = (u'\u2070',u'\u00B9',u'\u00B2',u'\u00B3',u'\u2074',u'\u2075',u'\u2076',u'\u2077',u'\u2078',u'\u2079')

Now that we can generate long and short labels they need to be placed appropriately on the grid:

  • Full labels for the grid crossings closest to the corners of the map
  • Abbreviated labels for all other grid positions

This logic is handled in QGIS’ expression language. This could be handled in Python too by passing in the map extent. In English, it is basically performing the procedure:

  • Get the extent (x/y minimum and maximum values) of the map.
  • Test which is closer to the map boundary
    • The axis minimum/maximum plus/minus the grid interval
    • The supplied grid index being labelled
    • Neither – they’re coincident (i.e. the first label is at the axis)

If the value supplied is closer to the map boundary or they’re co-incident then this must be the first label and should be rendered as a full reference.

CASE
  WHEN  @grid_axis = 'x' THEN
    CASE
      WHEN x_min(map_get(item_variables('main'),'map_extent')) + 1000 >= @grid_number THEN  UTMFullLabel( @grid_number, @grid_axis)
      WHEN x_max(map_get(item_variables('main'),'map_extent')) - 1000 <= @grid_number THEN  UTMFullLabel( @grid_number, @grid_axis)
      ELSE UTMMinorLabel(@grid_number)
    END
  WHEN @grid_axis = 'y' THEN
    CASE
      WHEN y_min(map_get(item_variables('main'),'map_extent')) + 1000 >= @grid_number THEN UTMFullLabel( @grid_number, @grid_axis)
      WHEN y_max(map_get(item_variables('main'),'map_extent')) - 1000 <= @grid_number THEN UTMFullLabel( @grid_number, @grid_axis)
      ELSE UTMMinorLabel(@grid_number)
    END
END

Finally to tie all of this together, in the Print Composer three grids are defined:

  • 1000m UTM grid for lines and labels
  • 1000m UTM grid for external tick marks
  • 1 arc-second interval secondary graticule

Two UTM grids are required as QGIS can either draw grid lines or external ticks. Both were desired in this example.

Screen Shot 2017-05-10 at 12.59.16
Define two 1000m-interval UTM grids and an arc second-interval Lat/Lon grid

Screen Shot 2017-05-10 at 13.00.36

For the grid rendering the labels, set the interval to 1000m, custom formatting as described above and only label latitudes on the left/right and longitudes on the top/bottom.

The formatting of the labels should look something like the screenshot above.

The only thing I haven’t covered here in the interest of clarity is the selective rotation of the Y-axis labels as seen in the state-issued topo map. This could be achieved by using an additional grid and setting the rotation value appropriately.

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GIS, Open-Source

Generative Pseudo-Random Polygon Fill Patterns in QGIS

QGIS doesn’t support pseudo-random fill patterns out-of-the-box. However, using the Geometry Generator we can achieve the same effect.

Random fill pattern? Here’s a polygon with such a fill. These are useful if, say, we want to represent an area of intermittent water.

Screen Shot 2017-05-05 at 19.53.11
Clipped Grid with 100% randomness

A typical way to achieve this effect would be to generate a random fill texture and use a pattern fill. This is less computationally intensive to render, however QGIS cannot render a texture fill as a vector even in vector output formats, which means all vector fills will be rasterised. If that means nothing to you, don’t worry.

The typical way to generate a randomised fill pattern is firstly to draw a bounding box around the feature of interest, create a grid of points that covers the feature, then only retain those points that also intersect the feature of interest. In effect, the feature geometry is used as a clipping mask for a uniform grid.

For the points that remain after clipping, we can optionally add an amount of randomness to the X,Y value of each grid intersection between zero and the size of a grid element. With no randomness, of course we see the grid pattern.

The QGIS geometry generator comes in useful here as it can be fed the geometry of a feature, in this case a Polygon, that is fed to a PyQGIS script that returns a multipoint geometry which is then symbolised.

The Python code is below:

from qgis.core import *
from qgis.gui import *
import math
import random

"""
Define a grid based on the interval and the bounding box of
the feature. Grid will minimally cover the feature and be centre aligned

Create a multi-point geometry at the grid intersections where
the grid is enclosed by the feature - i.e. apply a clipping mask

Random value determines amount of randomness in X/Y within its
grid square a particular feature is allowed to have
"""
@qgsfunction(args='auto', group='Custom')
def fillGrid(xInterval, yInterval, rand, feature, parent):
  box = feature.geometry().boundingBox()

  #Create a grid that minimally covers the boundary
  #using the supplied intervals and centre it
  countX = math.ceil(box.width() / xInterval)
  countY = math.ceil(box.height() / yInterval)

  #Align the grid
  gridX = countX * xInterval
  gridY = countY * yInterval
  dX= gridX - box.width()
  dY= gridY - box.height()
  xMin = box.xMinimum() - (dX/2)
  yMin = box.yMinimum() - (dY/2)

  points = []
  #+1 to draw a symbol on the n+1th grid element
  for xOff in range(countX+1):
    for yOff in range(countY+1):

      ptX = xMin + xOff*(xInterval) + rand * random.uniform(0,xInterval)
      ptY = yMin + yOff*(yInterval) + rand * random.uniform(0,xInterval)

      pt = QgsPoint(ptX,ptY)
      point = QgsGeometry.fromPoint(pt)
      if feature.geometry().contains(point):
        points.append(pt)

  return QgsGeometry.fromMultiPoint(points)

Finally, in the symbology options for the layer, select ‘Geometry Generator’ as the fill for the layer, and call the Python function with values for X/Y intervals and the proportion (0-1) of randomness to add.

Screen Shot 2017-05-05 at 19.40.31

Note that the multipoint geometry returned is independent of the zoom level and also uses the co-ordinate reference system of the source layer, not the display layer. The eagle eyed may have noticed that in the screenshots above that a transformation appears to have been applied to the grid.

Indeed it has. The source layer is in WGS-84, while the map has a UTM projection.

Tackling scale and CRS dependence are topics for a later post.