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Photographic
Intersection
My first
encounter with stereo images and photogrammetry was as a school
lever in 1965. I was working for J. A. Story and Partners in Kenya
when we visited the remote West Pokot region in western Kenya.
Mapping was required for a potential platinum discovery and I was
impressed by the fact that such a large area of Africa could be
mapped with only a few days in the field even with the difficult
logistics presented by the area. The transportation of the
theodolites, Tellurometers and batteries had to be by porters
because of the nature of the terrain, but the agricultural people
at the tops of the 1000m high hills did not readily mix with
pastoral people in the valleys so we had to change porters half way
up and again on the way down! I was also very impressed by the 3D
images when viewing the stereo aerial photographs through the
stereoscope. Little did I know then how much of my life was to
involve photogrammetry in many parts of the world.
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In 1973
I encountered Terrestrial or Close Range Photogrammetry when
I was privileged to field test the Wild P32 camera that had
just been introduced into the UK. The first project this
was used for was to map the façade of a bridge in Lancashire
for a road-widening scheme. Terrestrial Photogrammetry lent
itself as the solution to this task because the landowner on
the north side of the river exercised his riparian rights
and forbade the crossing of the river centre-line onto his
property. However the next task that the Wild P32 was used
for was of much greater interest.
A
baronial mansion, Annesley Hall north of Nottingham, with a
cellar dating back to Norman times, was to be mapped in its
entirety. The Wild P32 was to be used to map all the
external facades of the main building and the stables by
Terrestrial Photogrammetry. The fact that the Wild P32 was
mounted on the top of a Wild T2 theodolite meant that the
position and orientation of each and every photograph could
be recorded and that the camera could also be accurately
positioned at specific locations for taking the
photographs. I carefully marked out the camera locations
and took considerable effort to ensure that the camera was
at the correct 3D location for each photograph as is evident
from the photograph. I also placed Photo Control Points on
the surfaces being mapped because it was not standard
practice to know the location and orientation of the camera
at the time of photography. These were positioned in the
ideal locations for the photography because I knew exactly
the area covered by each photograph. In the event, the
Photogrammetric Operators ignored the information about the
location and orientation of the photographs and used the
Control Points as in conventional aerial photography turned
on its side. However, the information relating to the
camera location and orientation meant that the facades could
have been mapped from the photographs by Photographic
Intersection without using a Photogrammetric solution. With
today’s technology, computers and digital images, this could
be a more expedient and accurate method, but these things
were still in the future at that time. |
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The
concept of Photographic Intersection predates the invention
of photography itself. Surveyors produced drawings in the
field by projecting an image onto a surface using a lens,
then tracing in that image. Maps were then produced from
these images in much the same way as we use photographs for
Terrestrial Photogrammetry today. This process was given a
considerable boost by the invention of the P30 Photo
Theodolite by Heinrich Wild of Heerbrugg in around 1922,
half a century before the Wild P32 camera arrived in the UK.
The theodolite portion of the Wild P30 incorporated the
elements of the legendary Wild T2, also invented by Heinrich
Wild in the early 1920s, which was a major innovation in the
world of surveying instruments. |
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The Wild
P30 Photo Theodolite - photograph reproduced
with the kind permission of the Virtual Museum of 'UNSW
Surveying Instrument Collection'. |
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The Wild
T2 1" theodolite invented by Heinrich Wild in the early
1920s. |
In May 2001 I
was invited to present a paper at the Word of Surveying conference
held at Donington Park. We were requested not to use the
opportunity to simply promote our products, but to provide
presentation that would be interesting to the audience. The
experience of the previous year showed that the sales pitch approach
of some of the presenters caused the audiences eyes to glaze over
and heads to nod, so I closed by suggesting that data could be
delivered in a form different to the conventional line drawing. The
information contained in a photograph is much much more than that
shown by a line drawing. Show an Orthophoto, or even a conventional
aerial photograph, to people and they instantly recognise features
such their own homes. Show them a conventional line map and you
might just as well have presented them with a text in Latin! We
live in the age of digital images so I demonstrated how most imaging
software, such as Photoshop or Paint Shop Pro, have attributes
behind the image. Click on a pixel and you are presented with
information about the colour make up and co-ordinates of that
pixel. Providing that the digital image is never manipulated, these
values will never change. No matter how many times the image is
copied, transmitted or viewed, the attributes of the pixel remain
the same. My suggestion to my audience was that we could add
information such as the origin in space and orientation of that
pixel from the origin.
Orthophotos of
relatively flat terrain from aerial photographs are easily produced
with today’s technology, but Orthophotos from Terrestrial or Close
Range Photogrammetry present a challenge. Rectifying planes is
straight forward, but much of the detail on say building facades is
too variable to be correctly rectified, which means scaling off such
an image cannot be relied on. However, imagine being able to view
digital images that are not rectified photographs or Orthophotos,
but when an object in the image is clicked a ray in space with a
known origin and orientation is calculated and clicking on the same
feature in another image calculates another ray in space with a
known origin and orientation. The result is a 3D co-ordinate (x, y
and z). Click on the same feature in three or more images and we
have 3D co-ordinates with an indication of the precision and quality
of the result.
I started
developing my Photographic Intersection ideas whilst carrying out
the survey of Annesley Hall. The main building contained a
myriad of rooms. There were four floors with mezzanine floors
between and the roof space and roofscape to map. The nature of the
building meant that the rooms were not rectangular and there were
many hidden spaces including priest holes and a completely sealed
off room above the main entrance. To tie the rooms together I used
a technique which was considered controversial at the time. I
traversed through the building using a Wild T2 and Wild DI10, but
most of the measurements were made by tape and using tools that I
had to specially develop for the task. I thought long and hard as
to how I could make the task less labour intensive and laborious.
There must be solution involving photography!
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I first
came up with the idea of using a camera fitted with a
fish-eye lens. By placing the camera on its back at a known
location, the resulting image would have the points of
interest radial from that point. Unfortunately, the nature
of a fish-eye lens meant that the part of the image that was
of interest was in a narrow band around the circular edge of
the image, and were therefore difficult to distinguish.
However, the principle was there and this lead to my
invention of the conical mirror or conical prism. This
provided a distorted image, but one in which all the points
of detail were radial from the centre of the image. By
taking two or three such images in a room at known
co-ordinates these images could be used to plot the room by
Photographic Intersection. Using a photographic solution
meant that all the detail on the room was capture at one
time so that if additional detail needed to be plotted, this
could be done without having to revisit the site. I was
granted a
Patent for this
invention in 1975, but being of very limited funds I let
this lapse when the laws were changed in the early 1980s and
the annual fees increased dramatically. Within a year or
two of letting the Patent lapse I noticed that Kodak
Carousel Projectors were using conical prisms so that the
infra red signal to change the slides could be detected from
any part of the room. Conical mirrors are used to today in
laser levelling devices and perhaps most galling of all is
that Trimble (Geodimeter) uses a conical mirror for their
360° active detector for their “robotic” Total Stations.
The digital computer was still in the future and would have
been a great asset in developing this technique, but
actually presents more suitable solutions. |
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A method
of Photographic Intersection did solve a real problem at the
beginning of the 1980s. Due to a tunnel collapse in Glasgow
with fatalities, it became desirable to know if there were
any distortions in Railway Tunnels. Stereo Photogrammetry
was considered a solution but it was soon discovered that
there was a huge difference between measuring images that
the principal rays of the cameras were perpendicular to, as
in aerial photogrammetry, and measuring images where the
subject was parallel to the principal rays, such as in a
Railway Tunnel. This was not helped by the fact that the
tunnel walls were also black from years of soot and grime.
Ian Waite had used a flash gun sandwiched between two sheets
of plywood to illuminate sections to determine overburden
when tunnelling for the Dinorwick Pumped Storage Scheme in
Wales. It was considered that if such a “light line” could
be introduced into the stereo images then the photogrammetric solution would be viable. Two Companies
addressed this problem,
Photarc Surveys in Harrogate, Yorkshire and
BKS
Surveys in Coleraine, Northern Ireland. The BKS team
consisted of David Stevens and me. |
The solution to
produce a very narrow but bright light line came to me in the wee
hours one morning and my wife was not too pleased about being woken
up for me to ask where the flan tins were kept, but FITS (Flash
Illuminated Tunnel Section) was born. Even with the light line,
Stereo Photogrammetry was too slow in the field and time consuming
back at the Photogrammetric Workstations. In order to attempt to
speed up the data acquisition in the field, we mounted the cameras,
two Wild P32s, on a beam on a rail trolley connected by a rigid bar
to another trolley with the FITS unit on. Using such an arrangement
meant that the camera to object distance was always a constant so
why not use a single photograph with the known geometry? This
proved to be a very effective solution and we could capture data for
one Kilometre of tunnel, with a section every 10 metres, in a single
night. This is a method of Photographic Intersection as the
intersection of the ray from the camera with the plane of the light
line are the points of interest. This solution was enhanced by
introducing car headlamp bulbs into the unit so that the light line
was on continuously, which meant that the distortions in the tunnel
could be observed as HITS (Halogen Illuminated Tunnel Section) as we
now called it, was moved along the tunnel. This method was
successfully used to map both railway and canal tunnels.
Patents were applied for and a
United States Patent was granted with the proviso of the completion
of a United Kingdom or European Patent. Had we gone for a United
Kingdom Patent we would probably have been successful, but the costs
of trying for a European Patent seemed to be spiralling out of
control so we eventually abandoned the application. Today a special
locomotive with a built in light line generator is used to survey
railway tunnels.
Using
photography as a means of data capture is a rapid way of gathering
large amounts of information. Direct measurement methods are time
consuming on site and, although it may sound obvious, only those
points measured are captured. A photograph may be taken to capture
a limited amount of data at the time, but a huge amount of
additional information is captured at the same time for no extra
effort. This information can be extracted later without the need to
revisit the site, bearing in mind that the site could have changed,
or may even have ceased to exist.
Photogrammetric
cameras tend to use wide-angle lenses to capture a large amount of
information and ensure good intersection of the rays to the points
of interest. However, if we replace the Wild P32 on the Wild T2
with say a 35mm camera with a 1000mm lens we have a different, but
very useful device. This focal length covers a zone approximately
2° on the long side and 1° 20’ on the short side, or some 7200 x
4800 seconds of arc. If the resultant image could be digitised to a
matching pixel resolution, which is possible with equipment
available today, then each pixel would represent one second of arc
in the image. Digitisers with half this resolution, say 3600 x
2400, are reasonably priced and would still provide the equivalent
of a two seconds of arc resolution. The relationship between the
lens and the theodolite is readily calibrated. Calculations of the
co-ordinates from such images would provide a method of rapid data
capture in the field with a high order of accuracy. Data can be
easily extracted from these images away from site and in comfort
using software that would take little to develop as all the
components are in use today.
Photogrammetric
cameras, such as the Wild P32, are designed and manufactured so that
lens distortion is virtually non-existent unlike the lenses used for
regular photography, but even this is taken care of with today’s
digital imaging technology. Software packages, such as
DxO and
PTLens remove the lens distortion for digital cameras and zoom
lenses using the exif information included in the digital image.
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Theodolite
Intersection still provides the most accurate method of measuring
objects remotely. We can expect sub-millimetre accuracy over ranges
in excess of 100 metres when using top-of-the-range Instruments such
as a Leica TPS1201. The technique also provides a feel for the
quality of the observations. However, the data capture process in
the field is time consuming as each point must be observed from a
minimum of two, and preferably three, Instrument Stations. Mistakes
can easily be made in identifying the same point of interest from
the different Stations. The information you take away from the
field is only the discrete measured points. Additional data will
require another site visit, but the site could have changed, or may
even have ceased to exist.
Reflectorless
Measurement also requires less time in the field than Theodolite
Intersection as each point needs only to be measured from a single
Station, but is still considerably more time consuming than
Photogrammetry. Accuracy is better than with Photogrammetry but not
as good as with Theodolite Intersection and is more dependent on the
accuracy of the Reflectorless EDM than angular accuracy of the
Instrument. The accuracy of the Reflectorless EDM is affected by
the nature of the surface being measured to, and there is no
information as to the quality of the individual measurements. Once
again, the information you take away from the field is only the
discrete measured points. The range is restricted by the
Reflectorless EDM. |
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Scanning with a
system such as Leica Geosystems HDS creates a large “point cloud” in a
very
short space of time, so the field time for data acquisition is very
short when compared with Theodolite Intersection and Reflectorless
Measurement. The density of the ”point cloud” is determined at the
time of measurement so missed discrete points or areas would require
revisiting the site, although the “real time” display of the data
should enable the user to ensure that everything of interest is
covered at the time of survey. The equipment is however still
relatively large, heavy and expensive when compared with the other
techniques, but is the future as far as collecting 3D data to the
precision required by Surveyors and Engineers.
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Terrestrial
Photogrammetry requires much less field time than Theodolite
Intersection, but accuracy suffers as the camera locations are
reconstructed from Photo Control Points in the images, and these
points have to be measured using another technique, such as
Theodolite Intersection or Reflectorless Measurement. A
considerable benefit is that a huge amount of information is
captured in the images and this can be extracted at any time in the
future. If the subject only appears in a single photograph it can
often still be measured using the geometry of the structure and the
single image. |
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Photographic Intersection
involves little time in the field to capture a large amount
of data that can then be extracted as and when required.
Accuracy will not be quite as high as for Theodolite
Intersection, but will probably be better than with
Reflectorless Measurement, depending on the pixel
resolution. Accuracy will certainly be better than with
Stereo Photogrammetry and probably better than with a
Scanning system. This could be the most cost-effective
solution for a huge number of subjects. I am promoting
Photographic Intersection as a low cost solution for
capturing 3D data to a high order of accuracy because the
equipment required is easily obtained at little cost and the
mathematics involved is straight forward trigonometry.
However, it is my opinion that the best method for serious
3D data capture is
HDS (High Definition
Surveying). |
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If
you are interested in Photographic Intersection, or wish to
comment on the subject, please contact me on
PhotoIntersect@AOL.com.

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