ulation
> lower
it 0.85)
on the
can be
del.
)ase
Façade
ks and
s fitted
ctor (a
ipplied
along
ates of
rs, and
ed and
ucting
ample
e base
nstruct
ict the
mpute
e base
mal to
d to it
] will
ically.
ocks.
corner
>). By
fitting a plane to the corner points, and a plane parallel to it at
the surface point, the complete window or door can be
reconstructed. For steps, sufficient seed points to compute the
two side planes, plus one point on either side of each step are
needed. Table 1 summarizes seed point requirements.
Element Seed points
Plane 3: non-linear
Column 4: two on base, two on crown
Window or door 5: 4 corners and one inside
Block attached to a plane | Top corner points
Arch 3: on front plus arch edge
Steps A corner in either side
Table 1: Seed points for some structural elements
6. EXAMPLES
Over the past year, members of our group took images of
various interesting monuments in cities all over the world. The
images were taken during routine tours without any advanced
planning of where to take the images. We took the images just
like any typical tourist, by walking around the monument and
getting the best view under real conditions such as presence of
other tourists, vehicles, and other buildings and objects. Several
types of digital cameras and regular film cameras (digitized
later) were used. The results were indeed very encouraging.
Over 100 models were created in 6 months, each one usually in
1-2 days of work by one person. The number of points and level
of interaction and automation obviously varied significantly
from one model to another. At least 8096 of the points were
generated automatically. Seven examples [more at El-Hakim,
2002] are presented here, each to illustrate specific feature.
They are presented in wire-frame, solid model without texture,
and solid model with texture. In some of the structures, we
found dimensional information available in travel or history
books. This information was not used or needed in the model
construction, but was valuable in evaluating the accuracy.
Figure 9: A Trinity Collage building with columns and steps
Figure 9 shows a building on Trinity Collage campus in Dublin.
This typical classical architecture includes columns, steps, and
several other blocks. From only two images, the whole entrance
is constructed from about 400 points of which only about 50
seed points were measured interactively.
Figure 10-A shows the Arc de Triomphe in Paris. The Olympus
C3030 digital camera (3.1 Mega-pixels) was used (14 images).
The arc measures 45 meter x 22 meter, as indicated in some
tourist guides (accurate height was not available). We used one
distance (the 22 meter width) to scale our model. From the
model, the dimensions on the four sides were: 22 meter (fixed
for scale), 22.06 meter, 44.85 meter, and 44.89 meter, an error
of 0.28%. One should point out that the given dimensions are
probably rounded off and the sides are not perfectly identical.
The next example is the St. John baptistery in Florence (figure
10-B). The Olympus E-10 camera (4 Mega pixels) was used to
take eight images. The baptistery has eight sides. The actual
dimensions were obtained from a plan in a book. The sides
average about 13 meter in length. Again we assigned 13 meter
to one side and used it to scale the whole model.
Figure 10: Examples of constructed structures
The average difference between the model sides and the actual
sides was less than 1 cm, or 0.07%. This is significantly better
than the accuracy of the Arc de Triomphe. This is due to the
—147—