International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, Vol XXXV, Part B4. Istanbul 2004
years’ practical application. But with applications going deeply,
the expression contents needed are more and more subtle, the
expression element system can not satisfy the requirements of
describing the city in a three-dimensional means, so it is
imperative to build 3D Geographic Element System of city.
Referring to cartographic element system of two-dimensional
map and field surveying in some cities, we think that there
should be at least ten types of things in 3D Geographic Element
System, which are Building, Water System, Traffic Feature,
Ambit, Terrain, Physiognomy, Vegetation, Pipe, Wall and Bar,
and Independent Object.
3. SPATIAL GRANULARITY FOR 3D DESCRIPTION
The realistic world is complicated and various, there are even
many differences among the same kind of things. Taking
buildings for example, they include cloud-kissing skyscrapers
as well as rough shanties. It is difficult to estimate the enormous
workload if we want to express all objects no matter they are
large or small. The other problem needed to be resolved is how
to determine the hiberarchies of objects, whether or not the
object is necessary to be expressed, and what degree is suitable
if it is necessary, thus we should establish a uniform standard to
follow. Therefore, in the paper we put forward a concept of
Spatial Granularity for 3D Description (3DSG), which can be
used to decide whether we should store the information and
express the object by distinguishing their hiberarchy and subtle
degree.
The Spatial Granularity for 3D Description has important and
instructional significance for practical work when
reconstructing a 3D city. Firstly, it provides a standard and a
criterion for the 3D spatial data acquisition. Date acquisition is
a key matter in 3D city reconstruction, which also needs
maximum workload. The difficulty to acquire three-
dimensional data has become a bottle-neck problem obstructing
the development of 3D GIS. The main reason is lacking of
related standards. 3DSG will resolve the problem to a certain
extent by supplying standards. After the determination of 3DSG,
we don't need to consider those features under Granularity, and
consequently unnecessary work can be reduced. Secondly, we
can improve modelling efficiency of complex buildings with
3DSG, by simplifying and omitting lots of trivial things. With
the development of modern architectural technology,
architectural style becomes more and more multiplex. And the
traditional “matchbox” buildings are gradually replaced by
modern architecture which has different styles and complex
structures, accordingly buildings are much more difficult to
reconstruct. By partitioning buildings details according to
3DSG, unimportant characters can be omitted and thus we can
realize the efficient reconstruction of city.
Because of complexity and diversity of realistic world, and
various application domains, 3DSG is not a constant value, but
a variable which would be determined each time according to
the size of a description scope, the subtle degree of different
applications and actual data collection capability. For example,
when constructing 3D scene aiming at exhibiting city style and
features, the emphasis is to describe the whole view of the city.
And such as squares, evident buildings, streets and crossroads
must be described with high precision’! but some fundamental
infrastructure of city such as power networks, we should only
select and express some substations and circuitroies of higher
gerade. Or else, we would confuse description hiberarchies and
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destroy the integrated aesthetic feeling of scene if in the terms
of the same granularity. On the contrary, if the application
domain is electric department, the scene is primarily served for
inquiry and analysis of power networks, the description
granularity of power establishment must higher than other
things.
In the process of 3D Digital Weihai construction, we have done
some elementary research on the determination standard of
3DSG. The successful construction of Digital Weihai proved
that granularity description is necessary. Summarizing the
material practice, we think there are four principles that should
be considered when determining 3DSG:
I. Application integrated, because different applications have
different emphasis.
2. Applicable, that is, the 3DSG should satisfy the application
demands but should not pursue high precision eyelessly.
3. Practicable, the determination of 3DSG should be combined
with data acquisition methods.
4. Regional, the 3DSG of different regions is different from
each other, the emphases is put on important regions.
4. 3D PARTITION OF BUILDING
With the development of modern city, there are variety of cities
and thousands of different geographic objects, it is difficult to
find a single object model suitable for all geographic objects. It
also obstructs application and development of 3DGIS in many
fields. However, there are commonness and similarity to a
certain extent when any object has been divided. For examples,
a tree can be divided into the crown, the trunk and the root, a
table is consist of board and legs, the structure of a man
includes head, upper limbs, body and legs and so on. Therefore,
we can similarly divide complex geographic objects into simple
sections. The process of partition complex spatial objects into
sets of simple objects is called 3D Partition. Buildings, as the
main elements of city, have different structure styles. lt is
difficult to reconstruct them one by one, while they can be
expressed as a series of normal geometries through 3D Partition
which improves construction efficiency of city.
3D Partition of Building is divided into logical partition and
physical partition, the former means dividing buildings at
cognitive hiberarchy, such as roofs, walls and foundations;
while the latter means dividing buildings into some simple
geometries according to certain rules from the building
structure point of view, such as tetrahedrons. In the paper, 3D
Partition of Building is primarily logical partition. In the light of
the building structure and human cognitive habits, we think that
any building can be divided into three parts, which are
Mainbody, Character and Adjunct. Mainbody is the chief parts
of a building and usually with a normal shape. Character is a
part of a building, which represents characteristic details
different from the others buildings, such as roofs, eaves,
outdoor-floors and etc. Adjunct is not a part of a building but
existed with the building, such as antennae, satellite receivers
and hanging object etc. Fig.] demonstrates 3D Partition of two
typical buildings.
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