me XXXIX-B3, 2012
à DATA AND
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ch cannot be detected by
ion, monitoring electrical
quire the 3D coordinates
borne laser scanner data,
hapes or fitted geometric
oint clouds are obtained.
mera is equipped with an
pes using airborne laser
images by simultaneous
borne laser scanner data.
. visualization of normal
' coordinates of multiple
cteristic image quantities
f the 2D coordinates of
g object shapes for 3D
quire digital images if a
\LS system. The digital
s camera calibration for
nts. When a non-metric
ientation parameters are
| test sheet or test target.
ited in severe conditions
ires, camera calibration
‘he authors have been
3D measurement system
, consumer-grade digital
d Measurement (IBIM)
"m, which uses digital
ice meter (Nakano and
rameters of the triplet
'CPs are simultaneously
distance condition, and
ssible to integrate point
he concept of the IBIM
tion. With this motive,
le adjustments with self-
aper so that exterior
International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Volume XXXIX-B3, 2012
XXII ISPRS Congress, 25 August — 01 September 2012, Melbourne, Australia
orientation parameters obtained from the GNSS/IMU system,
distances and 3D object coordinates acquired from the laser
scanner, and the interior orientation parameters are
simultaneously ^ adjusted. Combined block adjustment
orientations were proposed in the late 1900's (Ackermann et al.,
1972, EL-Hakim & Faig, 1981, Chikatsu et al, 1988). The
proposed adjustment is widely expected to enable the utilization
of the airborne laser scanner in generating large-scale maps and
efficient aerial photogrammetry should be accomplished, except
for geodetic data such as ground control points and aerial
triangulation. Therefore, this paper uses calibration of non-
metric digital cameras to integrate point clouds and digital
images.
The object extraction procedures using ALS data and digital
images are performed in three steps.
1) A rough 3D object shape is extracted using a normal vector
map that is created from TIN by point clouds. Visualization of
normal vectors is useful for operator interpretation.
2) The rough object shapes are converted into multiple image
coordinates by a collinearity condition. The 2D shape
coordinates of detailed images are acquired using image
characteristics from around the rough shape.
3) The detailed 3D shape is computed using the spatial
intersection of detailed 2D shape coordinates and orientation
parameters.
A flowchart of the object extraction procedure is shown in
Figure 1.
Distances Exterior Interior Images
Orientation Orientation
wig Image
: Coord.
Point
clouds
^
Normal vector : Camera
map calibration
Rough shape : ..| Rough shape
(30) ? (2D)
wis
Y
Edge t
extraction (2D)
^ d
Detailed shape
(3D)
Figure 1. Object extraction flowchart
2. CAMERA CALIBRATION
The authors have been concentrating on developing a close
range measurement system for consumer grade digital cameras
using triplet images (Chikatsu et al., 2006). The measurement
system was adopted into digital aerial photogrammetry in this
paper because triplet images have following characteristics.
- Triplet images have advantages in generating stereo pairs.
- Triplet images have the flexibility for multiple images.
- Triplet images have the ability to increase geometric
restriction.
Moreover, the IBIM system of the basic camera calibration
concept has distance condition characteristics and also uses
pseudo ground control points (GCPs), which are virtual points.
Figure 2 shows the measurement concept used in this paper.
On the other hand, lens distortion is the most important interior
orientation parameter, and many distortion models have been
proposed (Brown, 1971, Murai, Matsuoka, Okuda, 1984). This
paper uses Brown's 1971 model, which takes the 7th degree of
the radial polynomial equation and the tangential distortion into
account, and has been widely used in close range
photogrammetric fields.
seus er +K,r’ - Kr) B(? +2x s 2Px'y
r
Y (kp Kr eR )e20xy B 25?) (1)
y=y at
where = = x"? + y’! = the radial distance from the principal
points
x, y = corrected image coordinates
x', y'= image coordinates
Ki, K,, K3 = radial distortion coefficients
P,, P,= tangential distortion coefficients
Flight direction A
ere tr es E es +9000 epe
: Perspective center
:Irradiation point of laser
:Point clouds
Figure 2. Measurement concept
The exterior parameters (Xo, Yo, Zo, c», p, K) and the interior
parameters (/ [focal length], wo, vo [principal points], a, b [scale
factor, shear factor], Ki, Ko, K;, Pi, P, [lens distortion]) are
unknown parameters of the multiple images and the pseudo-
GCPs (X; Y,, Z;), respectively. These unknown parameters are
simultaneously calculated by the collinearity condition, distance
condition, and geometric constraint condition under the local
coordinate system. Here, the collinearity condition is shown as
Equation (2) and the distance condition is shown as Equation
(3).
x zy Pa(X 7 X4) ma (f - Y) ms (Z - Z,) 2
m,,(X — À, m (Ye Tm, Z -Z,) Q)
y=f 2 - A, +m,,(Y —Y, + M, Z-Z,)
my (X - X,)* my (Y -Y,)* m5(Z - Z,)
where x, y 7 corrected image coordinates
f= focal length
X, Y, Z = pseudo-GCP object coordinates
Xo, Yo, Zo = perspective center
my, = rotation matrix elements