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Photogrammetry and Visualisation
The traditional output of photogrammetry
is a 2-dimensional plan. While this is
adequate for topographic mapping, it is
definitely insufficient for non-
topographic mapping. Findings from
cartographic research suggest that many
non-mappers have problems perceiving 3-
dimensional objects in 2-dimensional
planes. A typical two dimensional plan
of a traffic accident survey is shown in
figure 1.
In traffic accident mapping, for example,
the users of plans are usually lawyers
and judges, professionals who are more at
home with words than contours. They might
not be totally comfortable with the idea
of interpreting 2-dimensional plans.
Hence, it is not just desirable, more
logical to marry photogrammetry with
computer visualisation so that the
captured 3-dimensional accident scene can
be displayed in a "3-dimensional" world.
Apart from the ease and clarity with
which visualization systems convey ideas
and messages to involved persons (such as
judges and traffic policemen), there is
one more compelling reason as to why it
is in fact sometimes necessary to employ
visualization systems for traffic
accident mapping. Because of the
limitations imposed by metric
photography, there is an increasing trend
in traffic accident mapping to use
convergent non-metric photographs for
data acquisition (see Waldus and Kager,
1984).
But convergent photographs do not make
for good stereoscopic models. Hence the
construction of traffic accident scenes
must be done analytically. A 3-
dimensional visualization system must,
therefore, work in cooperation with
analytical photogrammetry for displaying
the restituted 3D traffic accident model.
The PMCAD II system
The PMCAD II system represents one
successful attempt at developing a low-
cost photogrammetric-based visualization
system for traffic accident mapping. The
acronym PMCAD stands for Photogrammetric
Mapping through Computer Aided Drafting.
A detailed description of PMCAD II can be
found in Koo and Aw (1991). Here only the
gist of the paper is presented.
PMCAD II is a refinement on PMCAD (Koo,
1989) in that it allows shaded renderings
of the traffic accident scene. The system
was designed for use by non-
photogrammetrists. Using off-the-shelf
cameras, PMCAD II is able to reconstruct
traffic accident scenes in a microCAD
System from "random" pictures taken of
the accident scene. Although PMCAD was
originally conceived for traffic accident
mapping, the resultant system is also
eminently suited for the re-creation of
any wire-frame or pseudo-solid (shaded)
model from 2D imagery.
The concept of PMCAD II is illustrated in
figure 2. Essentially, the system
marries analytical photogrammetry with
microCAD (microComputer-Aided- -Design).
Two software bridges, a pre- processor
suite and a post-processor suite, work in
cooperation with the Direct Linear
Transformation (DLT) of Karara and Abdel-
Aziz (1974) to build up the solid model
piecewise from 2D images obtained from
enlarged non-metric photographs.
Control points for the DLT solution
To solve for the DLT parameters, the
photo and object space coordinates of at
least six well distributed homologous
points must be known. PMCAD solves the
problem by placing four calibrated range
poles arranged 90° apart on the
circumference of a prescribed ring within
which the debris are to be mapped, see
figure 3. The co-ordinates of the four
points on which the calibrated poles rest
are surveyed on an arbitrary coordinate
System and only after the accident debris
has been cleared. This will ensure that
traffic flow will not be held up
unnecessarily.
The described arrangement of calibrated
range poles will give rise to an "array"
(more than the required number) of six
control points. Every identifiable point
on the range pole can serve as one
control point. The plan coordinates of
each point on the range point (X,Y) is
the same. Only the height dimension (2)
changes. And since the pole is
calibrated, each point's (X,Y,Z) is easy
identifiable.
THE PMCAD SYSTEM
| Non-Metric Camera ]
|
Object Wire Solid ; s
Co-ordinates Frame Models Animation
(X. Y.Z) Diagram
Fic. 2. The concept of the PMCAD Il system.