Exercise : Measuring heights of trees outside the forest (TOF) in digital orthophotos (DOP)

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(Measuring shadow length)
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We may also use trigonometry if we know the sun elevation <math>\alpha</math>. The height of a tree is then computed  <math>h_2=s_2*\tan \alpha</math>
 
We may also use trigonometry if we know the sun elevation <math>\alpha</math>. The height of a tree is then computed  <math>h_2=s_2*\tan \alpha</math>
  
==Measuring shadow length==
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==Measuring shadow length and sun azimut in digital orthophotos==
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Load and display German Geoadata using QGIS 2.4 following the [[Exercise: Displaying German Geobasis data (GBD)]] or load the saved project file ''.\GBData\display_gbd.qgs'' where the project coordinate reference system (CRS) is set to ETRS89/UTM32N (EPSG:25832).
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# Create a new shapefile layer
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## Select {{mitem|text=Layer --> New --> New Shapefile Layer}}.
 +
##* As layer type, select {{button|text=Line}}. Click the {{button|text=Specify CRS}} button and select ETRS89/UTM32N (EPSG:25832).
 +
##* To add an attibute:
 +
##** For the attribute's name type {{typed|text=Class}} into the {{button|text=Name}} field of the {{button|text=New attribute}} section.
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##** Select {{button|text=Whole number}} as data type.
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##** Confirm with {{button|text=Add to attributes list}}.
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##* Confirm with {{button|text=OK}} and enter path and name (e.g. {{typed|text=measure_shadow_length.shp}}) in the following menu.
  
 
==Estimating sun elevation==
 
==Estimating sun elevation==
  
 
==Calculating individual tree heights==
 
==Calculating individual tree heights==

Revision as of 15:04, 15 July 2014

Contents

Shadows in orthorectified remote sensing images

Figure A: Shadow length s and object height h

A simple application of the intercept theorem in elementary geometry is to determine the height of a tree by measuring the shadow length. According to Fig. A the shadow length \(s_1\) and the height \(h_1\) of a man-made object such as an overhead line tower were measured on the ground. If the lenght of a tree's shadow \(h_2\) is determined at the same time of the day we are able to compute \(h_2=s_2*\frac{h_1}{s_1}\)

We may also use trigonometry if we know the sun elevation \(\alpha\). The height of a tree is then computed \(h_2=s_2*\tan \alpha\)

Measuring shadow length and sun azimut in digital orthophotos

Load and display German Geoadata using QGIS 2.4 following the Exercise: Displaying German Geobasis data (GBD) or load the saved project file .\GBData\display_gbd.qgs where the project coordinate reference system (CRS) is set to ETRS89/UTM32N (EPSG:25832).

  1. Create a new shapefile layer
    1. Select Layer --> New --> New Shapefile Layer.
      • As layer type, select Line. Click the Specify CRS button and select ETRS89/UTM32N (EPSG:25832).
      • To add an attibute:
        • For the attribute's name type Class into the Name field of the New attribute section.
        • Select Whole number as data type.
        • Confirm with Add to attributes list.
      • Confirm with OK and enter path and name (e.g. measure_shadow_length.shp) in the following menu.

Estimating sun elevation

Calculating individual tree heights

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