g.i)
33
1 3 - Framing measurements: methods and results
By means of a totally electronic measure reading
goniometric-distanziometric equipment, we determined the
angles and the sides of a highly hyperdetermined (fig. 1)
network (21 sides and directions instead of 7). Point
centering was particularly accurate: 4 iron plates which
supported as many interchangeable basements were
used, so as to permit an efficient forced centering system.
Results are shown in tab. 1. The positions of the station
points have been determined with a satisfying precision
level, in fact the maximum value of standard deviation is of
±2 mm.
Tab. 1 - Framing network adjustment
(origin in st.4 - Y axis from 4 to 5)
point
R.COORD.
CORR.
A. COORD.
s.d.
n.
[ m ]
[ mm ]
[ m ]
C mm ]
X(1)
42.110
2
42.112
± 2
Y(1)
Z(1)
1.195
-2
1.193
0.500
± 2
X(2)
28.760
-3
28.757
± 2
Y(2)
Z(2)
-13.737
0
-13.737
0.457
± 2
X(3)
14.110
-1
14.109
± 2
Y(3)
Z(3)
-13.949
1
-13.948
0.475
± 2
X(4)
0.000
0
0.000
± 0
Y(4)
Z(4)
0.000
0
0.000
0.488
± 0
X(5)
0.000
0
0.000
± 1
Y(5)
Z(5)
14.907
-1
14.906
0.458
± 1
X(6)
13.571
-3
13.568
± 2
Y(6)
Z(6)
28.936
-4
28.932
0.451
± 2
X(7)
28.553
-5
28.548
± 2
Y(7)
Z (7)
28.503
-3
28.500
0.351
± 2
X(8)
42.190
2
42.192
± 2
Y(8)
Z(8)
14.510
-3
14.507
0.418
± 2
unit of weight standard deviation ± 90 mm/Km
1.4-Tie points surveying: methods and results
The surveying method we have carried out is a multiple
forward intersection. Only few points were determined by
means of a simple forward intersection, because of local
difficulties in collimation. The results and their precision
are shown in tab. 2.
- frame format 13x18 cm
- principal distance of lens 151.31 mm
- opening from 1:6.3 to 1:25
- shutter speed from 1" to 50"
- pancromatic film b/w(100 ASA) applied on glass plates.
Taking conditions were:
- base :13 m
- distance from object: 41 m
- width of the zone represented in each photogram:
35 x 48 m
- overlap: 60%
- elevation of camera station from the floor: 30 m
- ratio photogram/object: 1/270
- ratio base/distance : 1/3
Tab. 2a - forward multiple intersection from stations 6,7,8
station co-ordinates
STAZ. 8
X =
42.192
Y = 14.507
Z = 0.418
STAZ. 7
X =
28.548
Y = 28.500
Z = 0.351
STAZ. 6
X =
13.568
Y = 28.932
Z = 0.451
N
COO
X
Y
Z
1
3401
12.
.517 ±3
-13.113 ±5
23.285
±2
2
3403
13.
.759 ±0
-12.703 ±3
11.490
±1
3
3404
12.
.736 ±0
-12.195 ±3
11.489
±1
4
3407
13.
.519 ±0
-13.551 ±3
1.216
±0
5
3408
12.
.344 ±0
-13.011 ±3
1.251
±0
6
3411
12.
.944 ±0
-11.844 ±3
0.407
±0
co-ordinates are in meters, s. deviations in millimetres
the meaning of the code numbers is illustrated in fig.2
Tab.2b - forward multiple intersection from stations 1,7,8
station co-ordinates
STAZ.1 X
= 42.112
Y = 1.193
Z = 0.500
STAZ.8 X
= 42.192
Y = 14.507 Z = 0.418
STAZ.7 X
= 28.548
Y = 28.500
Z = 0.351
N
eoo
X
Y
Z
1
3402
0.963 ±2
-1.677 ±2
23.221 ±2
2
3405
1.834 ±1
-1.369 ±1
11.455 ±1
3
3409
1.253 ±2
-2.007 ±2
1.202 ±0
4
3410
0.457 ±1
-0.637 ±1
1.252 ±1
5
3412
2.280 ±1
-1.188 ±1
0.423 ±43
6
3414
2.281 ±1
-1.188 ±1
-23.837 ±3
7
3418
0.660 ±1
-0.075 ±1
0.151 ±0
point 3412 has an anomalous difference because its
elevation wasn't determined and its co-ordinates are
referred to the planimetrie position of a plumb wire (as we
can see the 3414 point, which represent the inferior
extreme of the plum has identical x and y co-ordinates)
2 - PHOTOGRAMMETRIC TAKING OF THE
STEREOPAIRS
3 - ANALYTIC RESTITUTION
The survey was composed of 48 photograms, (and 24
more as reserve), which formed 16 pairs: for each wall two
pairs and 2 central pictures were taken, so as to have the
possibility of working out some digital orthographic
processing.
The photograms were taken by means of a Galileo
Veroplast metric camera with the following technical
details:
The convenient number of tie points used for the absolute
orientation of each stereopair and their uniform distribution
(fig.2) in the overlap zone, allowed to fix the accuracy
during analytical stereocompilation.
As shown in the reports (tab.3) produced by the analytical
restitution equipment calculation program, the s.d. of the
tie points co-ordinates, result less than ± 10 mm.