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)<t n ( B))& 
(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<Bs 
As>Be 
Ae=Bs 
As=Be 
As>Bs & Ae<Be 
As<Bs & Ae>Be 
© 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<Be 
As=Bs & Ae>Be 
As>Bs & Ae=Be 
As<Bs & Ae=Be 
As<Bs & Ae<Be 
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 
337