b)
C)
Figure 1 — 1.3) Example of the Canopy Altitude Model, 1.b)
the Digital Terrain Model, 1.c) and the Canopy Height Model (c
— à - b). Brightness is proportional to altitude or height.
Obtaining tree height from the Canopy Height Model
The CHM gives interpolated height of all points in the canopy
in the form of a regularly spaced grid having a 50 cm
resolution. The height of a tree was defined as the pixel having
the highest value in a high-valued pixel cluster corresponding to
a crown. This "top pixel" is normally situated near the center of
the crown put can sometime be found a few pixels from the
center in the case of large hardwood trees. We believe that a
International Archives of Photogrammetry and Remote Sensing, Vol. 32, Part 3W14, La Jolla, CA, 9-11 Nov. 1999
more accurate method would be to find the difference between
the maximum laser spot altitude and the underlying interpolated
DTM altitude in order to preserve the preciseness of raw laser
data. However, due to time limitation, we chose the simpler
method described above. Improvements in the near future will
comprise preserving raw laser data for vegetation and using a
better interpolation method for ground laser points.
a)
b)
Figure 2 — 2.a) Digital multispectral videography (initially in
color) rectified according to the laser altimetry images
presented in Figure 1, and, 2.b) overlay on the Canopy Height
Model of figure 1.c).
5 RESULTS
Linear Regression
Linear regression was performed between ground-measured
height and laser predicted height on. The mean of the two
height measures done in the field for these trees was regressed
against the corresponding height read from the CHM for 36
trees (12 hardwood and 24 softwood). The linear model yielded
a R? of 0.90 (significant at &=0.01). The scatter of points in
figure 3 does not bear any non-linear trends, an observation that
was corroborated by the fact that the linear model fit gave the
International
best results. The pre
height) is given by:
Mean ground truth heig
30
25
20
Laser height (m)
Figure 3 - Comparison «
heights.
Error assessment
Tree heights predicted b
3 were compared to the ı
yielding an absolute di
deviation of 1.15 m. The
standard deviation of 9 ¢
two ground measuremen
relative error (the absolu
measurements divided by
is 10% (SD = 8%). The
absolute measurements c
model, the laser predictic
of ground measurements
these results since the nu
“truc” tree height, or
centimetric accuracy is i
laser predicted heights is
truth data. The R? of equ:
error associated with groi
manual photogrammetic
alleviate this problem. M
laser-predicted height ei
errors is only indicativ
established with certainty
attributed to ground mea
use of laser predictions
higher accuracy than grot
The main factors de
measurements, and thus
believed to be laser spot
laser penetration in veget
Crown surface (obtained 1
by using the average of