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es of its form.
or occlusion
boundaries. In Figure 1, is clearly shown how breaklines are
defined (heavy black color line) and how object's surface model
is divided in homogeneous areas (shaded areas) bordered by the
straight-line breaklines.
2.2 The use of breaklines in close range problems
There are important reasons why breaklines should be located
in object reconstruction. The largest errors in the matching
process occur due to breaklines inexistence, i.e. when a
continuous object model is selected for use in surface
reconstruction. Besides, if a continuous model is used without
considering breaklines, the result of the image matching is not
reliable especially at breakline locations. These reasons imply
that in object reconstruction, breaklines should be detected first
so that areas including breaklines should be modeled with a
denser grid network or a triangulated network. A sparser grid
network could be used for smooth areas where surface
continuity is constant. These are the optimum definitions in
order to minimize the number of unknown geometric
parameters.
Breaklines can be considered as the gross error of the
mathematical model if surface of the object is modeled without
considering breaklines, and smoothness constraints are used for
reconstruction of the smooth object surface.
By default, Photogrammetry considers the object reconstruction
as one of the most fundamental procedure. There is no doubt
that an increasing demand for rapid generation of surface
models exists. Breaklines is a vital parameter for an accurate
and reliable surface model reconstruction. Orthoimage
production requires a known surface model, what is usually
called as DTM, DSM or DEM. It is very important to initially
locate the breaklines in automatic DTM collection because of
the demand to have an approximate representation of the
surface model. When image matching is used for automatic
DTM generation, a large amount of gross errors in point
location, occur due to the fact that a priori knowledge of
breaklines position does not exist or is badly located.
Moreover, when breaklines are located in the object space, the
additional product of 3D wireframe model is created as well.
This is useful information especially in cases of architectural
issues where it can be used for image orientation even for a
single image rectification.
The above considerations indicate that it is vital in object
surface reconstruction to detect breaklines firstly in order to
have reliable and precise results. Besides, the additional product
of the 3D object model that is created must not be ignored as
well.
3. THE ALGORITHMIC FRAMEWORK FOR 3D
RECONSTRUCTION
The developed algorithmic framework for 3D object
reconstruction (Stylianidis, 2001) consists of 4 steps in turn.
The “schematic flowchart” including all steps is presented in
Figure 2. Image orientations (interior, relative and exterior) are
not mentioned in the framework. They considered being as
known parameters, in order to concentrate to 3D reconstruction
section.
Figure 2. “Schematic flowchart” o
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2D model pu
Image matching
approximate model
f the algorithmic framework