The camera positions can be shown in this map as the corners
of a square — the size of the square defines the distance between
the cameras, and also the intersecting angles of the cameras
optical axes. Defining the optimal size and position of this
rectangle requires further calculations, but this visibility map
greatly helped the design of the camera stand and mount.
Figure 5. Adjustable camera mount
3. DEFINING PARAMETERS OF THE MOBILE
TEST FIELD BASE NETWORK
The concept of the basic configuration of close range
photogrammetry networks was introduced by Mason. The
concept essentially means that photogrammetrists develop
readily usable photography and processing methods for various
task types (networks) occurring in practice and also specify the
result characteristics to be expected. We extended the set of
basic network types with the type of the mobile test-field of
photogrammetric measurement for face reconstruction and
specified the function describing the design factor q,
characteristic of this network. We specified this value in
function of the average error of scale and image coordinates.
A measuring field with calibrated control points and the
calibration of the cameras are necessitated by the task. A close-
range photogrammetric test field was built; it consists of
cylinders of various heights mounted on an alloy plate
(^manhattan-type"), where the points specified are represented
by the holes located on the cover circles of the cylinders. The
geometric features of the test field were determined by a Zeiss
Opton 3D coordinate measuring machine. This instrument
specifies the coordinates of vertices with sharpness within the
0.1 micron range and median error of less than one micron.
The overall precision of a photogrammetric capturing device
depends on the networking aspects. As we chose a convergent,
multi-station photogrammetric network, an initial indicator of
the precision of triangulation in is given by the formulae
(Fraser, 1984):
9, - So=—Ldo, (D
k
Se
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
Where 6 = RMS value of X Y Z object point coordinate
standard error,
S = scale number, S=d/c,
q = design factor expressing the strength of the
basic camera station configuration
k = number of exposures at each camera station,
o,= angular measurement resolution
o = image coordinate standard error
Given the assumption of k=1 (no redundancy by multiple
exposures) the equation (1) can be rewritten as:
q = 0c/(0S) (2)
Equation (2) shows that knowing the image coordinate standard
error, the q factor of a network can be given by the object space
coordinate RMS deducted from experimental error.
To get experimental errors, a smaller manhattan-type test field
was placed into the actual one. (figure 6)
Figure 6. Test fields
This smaller test field was measured by the same coordinate
measuring instrument, hence the coordinates are known at one
micron precision. The known points of this smaller test field
were measured by the photogrammetric capturing device, and
the difference between the known and measured points gave us
the experimental error. The measurement has been carried out
with a Direct Linear Transformation-based Software developed
by our Department (Molnar, 2010). The RMS error of this
photogrammetric network from 20 measured points was 0.48
mm, so the q factor of this mobile test-field with the described
arrangement can be given as:
q - 480/ (oS) (3)
where the precision of the image coordinates are given in pm.
4. CONCLUSION
At this stage of our project, the aim of our work was to develop
and build a capturing device for photogrammetric face
measurements considering the photogrammetric network design
factors. Investigation of the network design constraints resulted
that we chose a four-station convergent photogrammetric
network. Visibility modelling was performed to be able to
define the main parameters of the camera stand and the resulted
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