International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B6. Istanbul 2004
a o o Qr»
AA m ^ 99
s 4 pl a v6 o
5 Y 8$ aß 9 2 o"
i © 4 ^.
2 v Sc >
a pC OT SF
“at a e?
D.» $5.9 a
ü 8 Pa «à
a © a Po 0
Û à pb > P v d
9$95nmo. 9? e.
$ $ = er e
a 2 * pa 8
X ego ,
E^ A AR
e 09
in
G4 t$ gt
Figure 2.
3
Figure
6.1 Procedure for building enlargement
In going from one step to another, some areal entities need to be
enlarged in order to be distinguished clearly and identified. The
enlargement is performed in two different ways depending on
whether it necessary to increase their surface or their
thickness.
This kind of operation is performed for buildings by the
Enlarge Buildings procedure within the Generalize Buildings
function. On the other hand, it is not implemented for soil
occupation areas (vegetation and so on) which are simply
eliminated if they have less than a given surface area.
Is
The purpose of this procedure is to increase the surface area of
areal entities and their thickness up to a predetermined
minimum value. The enlargement procedure makes use of two
different algorithms, one to enlarge the surface area and the
other to increase thickness.
The choice of one or the other essentially depends on the
distance of initial values from the minimum values. In the most
general case both algorithms are applied to the entity, in an
attempt to satisfy the two constraints together, but at the same
time attempting to limit changes in shape. As a parameter for
characterizing the shape of the object, compactness is chosen
and this must not vary beyond a given percentage.
6.1.1 Increase in surface area: The minimum enlargement
value is normally assumed to be equal to the threshold of
interpretability of the entity considered. For buildings, this
value is usually established at between 300 and 500 square
MOM
metres at the scale of 1:5669N
75
The algorithm operates quite simply, scaling the entities by a
scale factor defined by the ratio between their initial surface and
the desired surface with respect to their barycentre.
6.1.2 Increase in thickness: The aim of this algorithm is to
increase the thickness of the areal entity up to a minimum value.
Since entities are of variable thickness, theoretically a localized
enlargement should be made, with thickness increased only
when necessary.
À procedure of this kind leads to a loss of shape of the entity
and is already implemented partly during simplification of
outlines. In the case of contour simplification, a minimum value
equal to the readability limit that can be accepted for small
variations in the entity's shape was used. For this reason, the
algorithm uses the mean thickness of the object which is
defined on the basis of the parameters of only area and
perimeter instead of local thickness. These values are
immediately accessible in the planning stage and allow an
immediate estimate of mean thickness.
After calculating the value of mean thickness and defining the
value of minimum thickness, the algorithm operates in a simple
way by creating a buffer equal to half the difference between
minimum and mean thickness around the entity.
Figure 4.
6.2 Procedure for thinning out areas
The need to reduce the number of areas becomes
time their density hinders their representation
scale.
The thinning out of areas is performed in two
depending on whether or not it is based
considerations or on topology and proximity.
The former operation is implemented over all areal entities,
whether or not they represent built-up areas or soil occupation
areas; the latter operation is performed only for built-up areas.
manifest every
at the derived
different ways
on geometric
6.2.2 Geometric thinning out: In this case thinning out of
areas 1s performed on the basis of their surface and the
parameter that identifies the elements to be eliminated is
defined by the minimum area value. As in the case of linear
entities, this algorithm does not take into consideration the:
context in which the entity is present but only its geometric
characteristics. Choice of the minimum area value is not
dictated by the readability threshold of areal elements, but by
considerations of a semantic nature. Buildings below the
visibility threshold are enlarged and non-contextual elimination
is allowed only when they are not considered significant for the
representation. to. be obtained. It is clear that very small
buildings which may be significant at a large scale are scarcely
significant at a medium scale and enlarging them would lead to
an erroneous estimate of their characteristics.
This type of thinning out is performed for buildings at the same
time as their simplification in shape by the resident Centerline
function, while for soil occupation areas it is implemented by a
procedure within the Generalize Area function activated inside
the ArcMap environment by means of a pushbutton.
6.2.3 Thinning out by topography and proximity:
Following enlargement operations, some entities are