A DIGITAL IMAGE APPROACH TO ANALYSIS OF STONE TOOLS
Robert E. Kell and Grace Kellner
We are currently applying digitized computer techniques in
studying the surfaces of stone grinding tools from Tell Ifshar. We
are hoping to find clues about their history and use. This topic
was suggested by Dr. Sam Paley. The objectives of this program are
the following:
- To replicate the surface shape and overall contour of these
specimens for study in detail at sites far removed from their
present location, and to make replicates of these specimens for
possible destructive testing and use by other investigators.
- To translate the surface shape and contour into images; to
search these images for surface irregularities (wear marks, pits
and fissures, and evidences of man-made features); to measure the
size and shape of these irregularities; and to determine their
average linear separation and density per unit area.
- To generate these digitized images by use of an electronic
camera and associated apparatus which produces computer files for
storage and subsequent mathematical analysis.
- To apply digital image processing methods, to locate and
identify surface irregularities; to classify them into groups for
further study; and to uncover information beyond that available
through direct visual inspection. Processing methods now being
considered include correlation, gradient and higher derivative
calculation, and upper and lower bound thresholding.
These tasks may be carried out in three phases. The
present discussion is a report on work currently in progress.
- Phase One is the replication of the specimen surfaces into
molds by using plastic impression material. This technique has
proven successful for replicating very fine-grained features of
various objects (e.g., teeth and human skin). Its use in the
current context appears appropriate. This judgement will be checked
by trials against similar objects (which need not be well-
documented archaeological specimens).
- Phase Two consists of using the molds prepared in Phase One to
cast replicas of the original specimens. Dental stone (a very
fine-grained, hard plaster) will be used for this purpose . It is
available in several grades and colors. Plastic replication molds
that have been prepared in phase 1 may be used at the preparation
site, but they may also be transported to any other location where
detailed studies of surface shape may be more conveniently carried
out.
- Phase Three requires an electronic camera and digitizing
equipment to generate digital computer files suitable for
mathematical processing. To obtain images useful for our purpose,
the camera-digitizer combination must meet the following
conditions:
- The image must be stable and reproducible, so that quantitative
measurements can be made and can be relied upon.
- The electro-optical transfer function of each pixel must be a
smooth function of the local image intensity, and the electro-
optical response of neighboring individual pixels must be as
similar as possible, to minimize data artifacts introduced by
the photo-recording and file conversion process. Either linear or
logarithmic response is acceptable.
- The overall dynamic range of camera and file conversion should
allow at least 8 meaningful data bits (256 gray levels) in the
image files.
- Geometric resolution (on any two orthogonal axes) should not be
less than 0.005", and a much higher resolution such as 0.001" is
desirable.
- The transformation scale along the two principal axes should be
the same.
Phases One and Two have already been carried out. Plastic
replication molds have been prepared by Mrs. Kellner from a large
number of specimens of grinding stones in Israel, at Tell Ifshar.
These molds have been brought to Buffalo, where they have been
used to cast plaster replicas. The replicas are expected to
duplicate the original surface contours, including any significant
irregularities. They do not carry the coloring of the original
models, however; they are of a uniform color characteristic of the
particular material chosen for casting.
This is an advantage in the imaging phase of the studies,
since intensity of each image pixel will be determined by surface
geometry unaffected by the varying color of the original specimen.
By carrying only the plastic replication molds from their site
of origin to the places where facilities for making detailed
studies exist, considerable savings have been made in the weight
and bulk of the items which must be transported. Additional
benefits of this approach are that extra copies of each specimen
can be made for use in destructive tests, and that copies can be
shared with other investigators.
Phase Three is currently under way, using a relatively
inexpensive electronic camera. After reviewing the types available
on the market, we chose the SONY Mavica-I, and have a ComputerEyes
digitizer which works with a Macintosh computer to produces digital
files. These choices were made on the basis of cost and easy
availability, and to provide a means of gaining familiarity with
this technique. The camera accepts a 2"X2"X0.25" minifloppy disc,
carries its own (flash) light source, and allows 50 pictures to be
recorded on each disc. Unwanted pictures can be erased and the
space used again.
It was expected that the performance of this camera-digitizer
combination would fall somewhat short of meeting the requirements
outlined above, so a program was planned to evaluate its
performance on the critical areas of resolution and image
stability.
To test the resolution of the camera, a test target having a
series of parallel lines was prepared and printed on an Epson
LQ-570 dot-matrix printer. This printer allows printing at 360
dots per inch along one axis, and up to 180 dpi along the
orthogonal axis. Several line spacing groups were included in this
test target, with each group having a different spacing. Files for
quantitative evaluation were then prepared which represent
recorded image intensity as a function of position (x-y location)
in the image. Examination of these files for pixel intensity along
chosen image axes then gave a quantitative measure of the camera
performance in discerning a single dark line, or in resolving a
closely-spaced series of lines. It also allowed evaluation of the
stability and uniformity of response.
It was immediately apparent upon examining these records that
the test targets prepared with the Epson printer were inadequate to
provide a valid test case. The lines drawn by the dot-matrix
printer were neither sufficiently straight nor uniform in weight to
provide a valid test. The simple target design was also inadequate
to discriminate against intensity variations caused by overlapping
of pixel response to the low intensity skirts of the camera lens
point spread function, several resolution elements away from its
central axis. The camera performance is still undetermined, but it
appears good enough to justify continuing with this approach.
We are now experimenting with improved target designs and
better printing technology, in an attempt to get a valid judgement
concerning the resolution and stability of the camera.