The stereoscopic vision of the object permits the
definition of a mesh of points with known
coordinates. Such coordinates constitue a DTM,
that is to say a not continuous description of the
shape of the object. Obviously to a greater
density of points in the DTM corresponds an higher
accuracy of the recostruction of the digital image
of the object, seen in its real position in the
space (Fig.2).
A greater density of points of the mesh must be
accompanied, however, by a contemporary increase
of the precision used in determining the
coordinates of the points in the space.
Infact it is useless to thicken the meshes of
points belonging to the DTM and to reduce the
dimensions of the pixels of the image projected if
to these operation it is not associated a
precision in their definition in the space,
certainly smaller of the dimensions of the single
pixel.
The achievement of a dense mesh of points defining
the DTM is strictly connected with systems of
automatic determination of DTM itself. These
methods have the good quality to define the
spatial coordinates of a great number of points in
a short time but imply a lot of problems in the
use of photogrammetric takens with critical
orientations and in the interpretation of the
discontinuities present in the surfaces under
study.
In particular when the automatic software meets a
sudden change of depth (break lines), it is not
able to understand the real thickness without the
intervention of an human operator, often not
expected in these applications. It must be also
considered that such systems of automatic
definition of digital terrains are mostly for
working in cartography, where the break lines and
the sudden change of depth are only occasional
(cliffes, precipices..) or present in some
application (height of the eaves from the ground).
At present in cartographic field interesting prog-
ress in the projection of digital images of the
terrain on a DTM have already been developed with
the first experiences of the ETH in Zurich.
Once defined the DTM, the shape of the object can
be described with a sequence of triangular shaped
micro-planes having as vertex three points of the
DTM itself.
Fondamentally the projection consists in the
operation of projecting on the digital DTM the
image of every pixel of the image, that means its
tone of grey or color.
Such a kind of projection, with the center of
emanation in the front nodal point of the camera
and the image placed in the space according to the
angular parameters of the external orientation,
can create a lot of problems of discontinuity and
deformation of the image. For these reason a
different method, called ‘inverse projection’ is
preferred. Instead of writing the equation in the
space of the line going through the front nodal
point O (centre of the optic cone), the pixel P
and intersecting the generic micro-plane S, it is
preferred to write the equation of the line from
the micro-planes to the nodal point. In this way
it is granted the complete refilling of the
micro-plane of the DTM even if it can't assure the
formation of a biunique relationship between
pixel-image and its visualisation on the DTM.
Truly said the problem is not solved but avoided.
In fact only in presence of a DTM so thick to be
considered continuous it is possible to
hypothesize a biunique relationship between the
pixel-image and every pixel projected on the DTM.
However it is important to remember that such a
thickening of the mesh of the DTM is obstructed by
important problems of calculation and by the
precision with which the position of the points
can be evaluated.
As alternative to a thickening of the DTM, even if
with different results, there is the possibility
to subdivide every micro-plane in different
micro-areas. From their barycentre it can be
written the same equation of the line going
through the front nodal point O too, used in the
method of the ’inverse projection’.
This method can help to bring the image projected
on the DTM near to the real one, creating more
pixel on the image projected in comparaison to the
number of those ones belonging to the original
digital photogram. In this way it is more granted
the continuity of the image but we loose
definitively the relation pixel to pixel.
The time of computation and the study of the
relationship between density of the DTM - number
and dimension of the pixel of the photogram -
scale of the photogram - scale of the image
projected on the DTM are all together indicating a
new direction for the present research. Besides,
the solution of these problems is also strictly
correlated to the development of new instruments
of digital image and computation treatment.
The acquisition of the images with classic
photogrammetric cameras can be supported by an
acquisition with CCD cameras directly in digital
form. In particular the interest is toward the new