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Although this site was discovered almost a decade ago
most efforts to create a spatial model of it failed. Five
different sets of photogrammetric images have been taken
over the years, but until recently they either missed control
information, camera parameters or did not provide
sufficient coverage. When the Department of Geodetic
Science and Surveying and the Center for Mapping of The
Ohio State University got involved in 1991, the National
Park Service had closed the Sundagger Site completely, so
that nobody is permitted access to the slabs. This was
necessary as the popularity of the site brought many visitors
to Chaco Canyon and resulted in severe erosion and
vandalism around the slabs that threatened to permanently
destroy the site. Therefore, we did not have any means of
acquiring new imagery or establishing control. We had to
fully rely on existing data.
In this paper we discuss the procedures that were
applied to combine various sets of photographs of the
Sundagger Site. We explain how we created a spatial
surface model, and simulated shadow-casting by computer
animation. In the next chapter we give the reader some
more detailed information about the Sundagger Site.
2. SOME FACTS ON THE SUNDAGGER SITE
The Sundagger Site is located close to the top of Fajada
Butte in Chaco Canyon, New Mexico (Longitude: W 1079
54' 33", Latitude: 369 01' 08") (figure 2). Although the
existence of the site had been known for a long time, it did
not become the focus of scientific investigation until 1979
when its interesting shadow-casting phenomena were
described by Anna Sofaer, president of the Solstice Project
(Sofaer et al., 1979). It consists of three flat slabs, each
about 2.5 m high, which are leaning against a rock-wall.
Through the narrow gaps between the slabs sunlight can
penetrate at certain times of the day. On the wall in the
back of the slabs there are two spirals. The larger one
consists of ten rings which are about equally spaced. At the
summer solstice the shadows cast by the slabs form a
dagger, which moves from the top to the bottom of the
spiral. This dagger changes its location every day until it
arrives at the edges of the spirals at the winter solstice. At
this time two Sundaggers appear at the left and right edges
of the spiral. Additionally, one edge of the right-most slab
casts shadows onto the spiral at the major and minor lunar
standstills. This finding promoted the assumption that the
site was used both as a solar and a lunar calendar by the
Anasazi Indians, which is unique in North America. Figure
3 shows the solar and lunar markings observed at the spiral.
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3. PHOTOGRAMMETRIC RECONSTRUCTION
Five sets of photogrammetric images were taken
between 1979 and 1987, each with different, mostly non or
semi-metric cameras. Each photo-set had individual
control-points, however, for some the coordinates were
missing. An astronomic azimuth was measured for at least
one of the image sets. Table 1 shows a comparison of
photography taken at various epochs. Due to the quality of
the images and the availability of control points we selected
the 1983 photographs and added a few images from 1979 to
cover a larger area of the rock formation.
The photos were taken with a metric stereo-camera (40
cm base). The focal lengths of the two cameras and all
control points were made available to us. We found out
that these images were used by Aero-Metric, Inc. of
Sheboygan, Wisconsin, to create maps of the slabs. About
9000 points representing slabs and spiral were already
available in a local, 3-dimensional coordinate system.
These points were never displayed in a proper spatial model
and thus deemed useless for archaeologists. To check the
potential accuracy of these image-pairs we ran a bundle
triangulation using the control points and tie-points
available. It turned out that the points on the Sundagger
Site can be located to about 3 mm. In addition to the points
collected by Aero-Metric, we captured a number of
breaklines, as well as the whole back wall from the stereo-
pairs. We also added two photos of the 1979 data-set, in
order to cover the rock to the left of the slabs. This is the
back wall. It is important for the simulation of the creation
of the Sundagger Site.
4. GENERATION OF A SPATIAL SURFACE
MODEL
The large number of 3-dimensional points collected in
the stereo-plotter cannot be visualized on a 2-dimensional
map. The high point density makes it virtually impossible
to distinguish any of the features of the rock surfaces.
Therefore, all points belonging to a slab or to the back-wall
were connected by triangles to create a surface model.
Unlike TIN structures used for digital elevation models
(DEMs), which are based on elevations plotted on top of a
plane and therefore, create a unique network of triangles,
our network must represent multiple surfaces for any point
of the X, Y-plane. This means that our surface model has to
cover both top and bottom of any object.
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Figure 2: Map of Chaco Canyon, New Mexico, showing Fajada Butte which holds the
Sun-dagger Site.
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