Geoinformation I

Institut für Kartographie und GeoinformationProf. Dr. Lutz Plümer

Geoinformation IVorlesung 7

WS 2000/2001

Topologische Relationen (Egenhofer)

Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7 Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

2 2

Punktmengentopologie

• Beziehungen zwischen Punktmengen


3 3

Topologische Relationen

X Y X° Y° X Y° X° Y Operation

X

Y


4 4



X

Y


5 5



X

Y


6 6



X

Y


7 7

X disjoint Y



X

Y


8 8

X disjoint Y



not

X

Y


9 9

X disjoint Y



not

X

Y


10 10

X disjoint Y



not

X

Y


11 11

X disjoint Y



not

X

Y


12 12

X disjoint Y



not X meets Y

X

Y


13 13

X disjoint Y



not X meets Ynot

X

Y


14 14

X disjoint Y



not X meets Ynot not

X

Y


15 15

X disjoint Y




X

Y


16 16

X disjoint Y




X

Y


17 17

X disjoint Y



not X meets Ynot not X equals Y

X

Y


18 18

X disjoint Y




X

Y


19 19

X disjoint Y




not

X

Y


20 20

X disjoint Y




not not

X

Y


21 21

X disjoint Y




not not

X

Y


22 22

X disjoint Y




not not X inside Y

X

Y


23 23

X disjoint Y




not not X inside Y

X

Y


24 24

X disjoint Y




not not X inside Y

not

X

Y


25 25

X disjoint Y




not not X inside Y

not

X

Y


26 26

X disjoint Y




not not X inside Y

not not

X

Y


27 27

X disjoint Y




not not X inside Y

not not Y inside X

X

Y


28 28

X disjoint Y




not not X inside Y

not not Y inside Xnot

X

Y


29 29

X disjoint Y




not not X inside Y

not not Y inside Xnot not

X

Y


30 30

X disjoint Y




not not X inside Y

not not Y inside Xnot not

X

Y


31 31

X disjoint Y




not not X inside Y

not not Y inside Xnot not not

X

Y


32 32

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Y

X

Y


33 33

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot

X

Y


34 34

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot not

X

Y


35 35

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot not not

X

Y


36 36

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot not not

X

Y


37 37

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot not not Y covers X

X

Y


38 38

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot not not Y covers Xnot

X

Y


39 39

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot not not Y covers Xnot not

X

Y


40 40

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot not not Y covers Xnot not not

X

Y


41 41

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot not not Y covers Xnot not not not

X

Y


42 42

X disjoint Y




not not X inside Y

not not Y inside Xnot not not X covers Ynot not not Y covers Xnot not not not X overlaps Y

X

Y


43 43

X disjunkt Y



not X trifft Y

not not X gleicht Y

not not X innerhalb Y

not not not Y überdeckt X

not not Y innerhalb X

not not not X überdeckt Y

not not not not X überlappt Y

X

Y

Geoinformation I

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