ISPRS, Vol.34, Part 2W2, “Dynamic and Multi-Dimensional GIS", Bangkok, May 23-25, 2001
s5 ) in table 3, the express is:( t 0 (A)> t 0 (B) & t„( A)
(50(A) ¡ 0 00(B) ¡ = 0 & ÔO(A) ¡ H 0(B) ¡ =1 & 0(A) i n 50(B) rO & 0(a>
i" nO(B)i“=1). For the non- consistent topological relation of
two objects, such as at instant t¡ the spatial topological
relation of two objects is © si , and at instant tj the spatial
topological relation of two objects is e si , but ® si !=© sj , this
case the spatial temporal topological relation is diverse, we
can build query express according to real cases.
Table 2 The temporal relation 0, of A and B
©tl
© t2
©13
© t4
©ts
©«6
®t7
equal
before
after
meets
met-by
during
contains
aaaaaa
aaa
aaa
aaa
aaa
aaa
aaaaaa
bbbbbb
bbb
bbb
bbb
bbb
bbbbbb
bbb
As=Bs & Ae=Be
Ae
As>Be
Ae=Bs
As=Be
As>Bs & Ae
AsBe
© t8
starts
© t9
started-by
©tio
finishes
© til
finished-by
© tl2
overlaps
© tl3
overlapped-by
aaa
bbbbbb
aaaaaa
bbb
aaa
bbbbbb
aaaaaa
bbb
aaaaaa
bbbbbb
aaaaaa
bbbbbb
As=Bs & Ae
As=Bs & Ae>Be
As>Bs & Ae=Be
As
As
As>Bs & Ae>Be
Table 3 spatial-temporal topological relation model based on consistent topological relation
^‘\ > 0S
et
©si
meet
®s2
disjoint
®s3
overlap
®s4
contair
©s5
in:
©s6
ide ec
ual
©s7
C(
©s8
ivers cover
© tl
equal
|i
H
□
DD
CE
[
13
@.6
during
iMí
ED
□
$
0
s
i
□
S
]
E
H
0,7
contains
D
□
&
□
e
]
fj
E
l
J]
®t 8
starts
C
m
□
cfl
1
]
EL
E
3
a
]
[
0.9
started-by
G
□
1
h
J=L
fi
]
ai
[
h
0.10
finishes
IÜ
□
H
D
[
U
E
3
B
D
a]
0. h
finished-by
■
□
№
U
a
]
■1
IT
E
F
0. 12
overlaps
:
1
□
Í
a
§
Ë
1
a
?
®t 13
overlapped-
bv
L
:
1
□
■t
h
a
§
P
m
1
5
h
4. Operation and query based on OPH model
We can query present and history of moving object using
OPH model, calculate the moving speed, moving direction,
affected range, and define the interaction (trigger) relation
of two moving object.
4. 1 Operation of MO
We define three operations of area moving object: moving
speed, moving direction, and affected range.
The Speed of moving object in period (t ¡.-j, tj] is defined as
the distance of observation geometries of moving object at
two instant divided by the length of time period. >
Speed(t j.-|, tj)=Distance(Oj, O ¡_i) / ( t j_-|- tj)The
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