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

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(Shadows in orthorectified remote sensing images)
(Shadows in orthorectified remote sensing images)
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[[Image:shadow_length.png|450px|thumb|right|'''Figure A''': Shadow length ''s'' and object height ''h'']]
 
[[Image:shadow_length.png|450px|thumb|right|'''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 and the height of a man made object such as an overhead line tower was measured. If the lenght of a tree's shadow is known at the same time of the day we are able to compute <math>h_2=s_2\frac{h_1}{s_1}</math>
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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 <math>s_1</math> and the height <math>h_1</math> of a man made object such as an overhead line tower were measured on the ground. If the lenght of a tree's shadow is known at the same time of the day we are able to compute <math>h_2=s_2\frac{h_1}{s_1}</math>
  
We may also use trigonometry if we know the sun elevation or the angle alpha. The height of a tree is then computed ....
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We may also use trigonometry if we know the sun elevation or the angle <math>/alpha</math>. The height of a tree is then computed
  
 
==Estimating sun elevation==
 
==Estimating sun elevation==

Revision as of 14:49, 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 is known 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 or the angle \(/alpha\). The height of a tree is then computed

Estimating sun elevation

Measuring shadow length

Calculating individual tree heights

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