238
ID.
1 KR.
M.C.
NN.
P.R.
R.B.F.
SH.
TR.
# of points
918
918
918
oo
0\
918
918
918
918
# of cells
915
915
915
915
914
915
915
901
o
Average
JsmL
0.5
-0.4
-3.5
0.2
-9.0
-1.2
-6.9
-5.5
<
St. Dev.
JsmL.
37.9
35.4
48.4
21.0
3490.6
8.9
54.4
43.7
m
Minimum
JsmL
-343.2
-226.5
-370.1
-345.1
-7765.3
-67.7
-444.0
-402.7
Maximum
JsmL
231.8
289.5
263.4
130.2
7173.0
74.5
249.6
301.0
Elab. Time
1’14”
2’21”
0’1”
O’ll”
0T”
6’16”
1’ 14”
0T”
# of points
997
! 997
997
997
997
997
997
997
# of cells
993
993
993
993
993
993
993
982
©
Average
.JsmL
1.3
-1.2
0.2
0.0
-18.5
-1.9
-9.0
-6.4
<
St. Dev.
JsmL.
31.5
31.6
36.0
8.8
2336.4
8.4
46.5
38.3
in
Minimum
_JsmL.
-123.4
i -172.4
-188.1
-106.6
-3754.3
-51.9
-193.1
-366.3
Maximum
JsmL
151.7
! 125.8
184.7
82.3
17295.8
38.7
237.3
180.2
Elab. Time
1 ’46”
3’ 15”
0’2”
0’7”
0’1”
6’28”
1 ’48”
0T”
# of points
24869
24869
24869
24869
24869
24869
24869
24869
# of cells
24858
! 24858
24858
24858
24858
24858
24858
24792
©
Average
JsmL.
0.8
! L8
1,3
1.2
0.5
-32.4
0.7
1.4
s©
<
St. Dev.
JsmL
68.3
i 61.7
60.8
65.0
2528.0
2270.3
95.5
70.3
m
Minimum
[cm]
-909.3
! -778.6
-978.8
-1072.8
-4539.3
-98721.2
-1242.2
-1096.7
Maximum
JsmL
1166.2
! 1173.8
1151.1
1281.1
15264.6
143185.4
2659.7
1199.0
Elab. Time
l h 10’Q0”
1 l h 15’00”
0’6”
3’47”
0’1”
,l. h 09’QQ”
0’1”
Table 1 - DEMs from survey data set. Default options.
Observing the statistic parameters brought in the table 1 it
is clear that the results depend partly from the data of
input and it is therefore not possible to give an absolute
judgement of goodness of an algorithm putting aside
from them. Besides, for SA60 all the parameters of
interest have higher values.
However, the method Polynomial Regression is revealed
to be without doubt the worse one, with unacceptable
values of the residuals and standard deviations for all the
three landslides.
All the other methods give acceptable values of the
residuals and statistic parameters; particularly:
the methods Inverse Distance to Power, Kriging,
Minimum Curvature and Triangulation give values of
standard deviations nearly from 30 to 50 cm for SA20
and SA30 and from 60 and 70 cm for SA60. The values
of maximum and least residual are of the order of the
unity of meters for SA20 and SA30 and of the tens of
meters for SA60.
the methods Nearest Neighbor and Radial Basis
Function give better results then the precedents for SA20
and SA30. For SA60 the N.N. method furnishes
parameters of the same order of greatness of the group of
algorithms described previously while the second one
furnishes elevated values - not acceptable - of the
residuals and of standard deviations, due perhaps to the
presence in the data of blunders.
the Shepard's method, finally, produces worse results
slightly of those of the first group for all the landslides,
also always acceptable.
Another aspect observable in the table is that relative to
the long times necessary to some methods to interpolated
the data, especially if they are very numerous. Since one
of the free options of the used software of interpolation
refers to the choice of the amount and distribution of data
taken into account to the goals of the calculation of the
co-ordinate Z of the knot (all data or only those ones
which are in a certain around, defined from the users),
some other tests were carried out varying such parameter
for choice a more suitable search radius than the default
one. For SA60 a search radius of 100 m does not produce
appreciable differences in the values of the residuals in
comparison to that of default equal to 3130 m, while the
times of elaboration are been reduced sensitively.
As far as it concerns the visual aspect instead, in figure 2
are brought the contour lines maps relative to the DEMs
produced from the interpolations with the various
algorithms. Only the elaboration carried out for SA20 are
presented but the considerations on the results are also
valid for the others two landslides. The representation
scale is 1:20.000 although the density of the data and the
precision of the survey are compatible with
representations to a scale of 1:1000. With the dots is
marked the limit of the landslide.