estimation was made using a Silicon Graphics VGX
computer with 32MB of RAM. Some statistics relating to
this rigorous least squares estimation are shown in Table
1. For about 40 measurements, the least squares residuals
were larger than three-times their a priori values, giving
an initial a posteriori variance factor of 1.4 (significantly
greater than unity). Those 40 measurements were
"de-weighted" by a combination of the Danish’ method
of robustified least squares and the judgement of those
who carried out the measurements (survey and
photogrammetric). In all cases the measurements were to
targets only 1 or 2 meters from the instrument (camera or
tacheometer) so the a priori standard deviations were too
low. After this process, the variance factor was
insignificantly different from unity (5% significance) and
the a posteriori variances shown in Table 1 indicate
homogeneous precision, apart from 11 poorly-defined
natural features (pass points), each of which appears on
only two photographs.
Figure 6. A ray traced image of the Edicule (cupola and
roof) CAD Model.
5. STEREO-RESTITUTION, DIGITISATION AND
GRAPHICS
The exterior orientation elements of all photographs were
loaded into the database of the Intergraph Intermap
Analytic. Results of independent camera calibrations
(focal lengths, principal point displacements and radial
and tangential lens distortions) had also been stored at the
IMA. Stereo models were set up using the IMA
Simultaneous Orientation option, with principal point
displacements and lens distortions (in look-up-tables)
incorporated into the real-time loop. For Hassleblad
photographs, 6 images were placed on each stage so as to
allow 6 stereo models to be called up and interchanged. In
this way several views of the complicated 3D structure
could be used during the digitisation process.
The initial digitising of features on the IMA was in the
form of 3-D linestring elements, These were stored in
individual design files, one for each stereo pair. These files
were then merged, or referenced together, this allowed
for representation within the CAD system of separate
elevations, plans and cross-sections. All the data can be
merged together, but with such objects as the Edicule,
these unstructured, individual linestrings, whilst giving a
good overall impression, cause confusion when studied in
detail (Fig 5). They do however provide an accurate
spatial representation of linear features which can be used
to generate data which are easier to interpret and of more
relevance to archaeological investigation.
To make full use of 3-D CAD models of objects (Fig. 6),
the individual features must be represented by shapes that
have surface characteristics. These shapes have to be
derived from the onginal linestrings (Littleworth et al
1992). For ancient objects with their eroded and worn
stonework, creating closed shapes from the original
linestrings is a time-consuming practice. Assumptions
must be made concerning the form of objects to enable the
placement of CAD shapes and surfaces. This inevitably
leads to lowering of the original photogrammetric
accuracy, but the usefulness of the data is increased. The
original linestrings (or the photographs themselves) can
be referred to when accuracy is important, for example in
checking alignments and height differences.
6. CONCLUSIONS
The secondary data from photogrammetry are
conventional archaeological plans, elevations and
sections and the three dimensional computer-graphics
models of the Edicule. The latter are at present simplified
but accurate representations of the main structural
elements. The original decorative features are shown on
the photography and can be plotted or digitised to give a
full surface model if required. At present the main work
is to combine the photogrammetrically derived computer
graphics with the archaeological record in a database. The
floor plans produced by archaeologists have been scanned
and fitted to the photogrammetric data. Previous
representations of structures on the site of and around the
present Edicule are also being digitised and used in
conjunction with modern data to see how the present
structure might be related to earlier ones, and possibly to
see to what extent remains of the original rock-cut tomb
might be included in the walls of the present Edicule.
Only by photogrammetry, a non-intrusive, passive
technique, could such an immense amount of accurate
detail have been obtained. Use of the data will lead to
hypotheses about the present structure and its
development from the original Constantinian Edicule.
These hypotheses will it is hoped be of value to those who
will be responsible for the renovation, restoration or repair
of the Edicule. Such work can not be too long delayed,
given the present parlous state of the building.
7. REFERENCES
Biddle, M., Cooper, M.A.R and Robson, S., 1992. The
Tomb of Christ, Jerusalem: a photogrammetric survey.
Photogrammetric Record 14(79) 25-43:
Daniel, Abbot, 1106. The pilgrimage of the Russian Abbot
Daniel in the Holy Land. Translated and annotated by
Wilkinson, J., et al. In: Jerusalem Pilgrimage 1099 - 1185.
Hakluyt Society (Second Series), London 1988. 167:
pp187-207.