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Geoinformation I

Geoinformation I. Vorlesung 7 WS 2000/2001. Topologische Relationen (Egenhofer). Punktmengentopologie. Beziehungen zwischen Punktmengen. Topologische Relationen.  X   Y. X°  Y°.  X  Y°. X°   Y. Operation. . X Y.  X   Y. X°  Y°.  X  Y°. X°   Y.

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Geoinformation I

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  1. Geoinformation I Vorlesung 7 WS 2000/2001 Topologische Relationen (Egenhofer)

  2. Punktmengentopologie • Beziehungen zwischen Punktmengen Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  3. Topologische Relationen X  Y X°  Y° X  Y° X°  Y Operation  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  4. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen   X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  5. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen    X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  6. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  7. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  8. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  9. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not   X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  10. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not    X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  11. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  12. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  13. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  14. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  15. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not   X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  16. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  17. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  18. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  19. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  20. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  21. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  22. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  23. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  24. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  25. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  26. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  27. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  28. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  29. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  30. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  31. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  32. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  33. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  34. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  35. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  not  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  36. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  not  not   X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  37. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  not  not   Y covers X X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  38. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  not  not   Y covers X not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  39. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  not  not   Y covers X not  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  40. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  not  not   Y covers X not  not  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  41. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  not  not   Y covers X not  not  not  not  X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  42. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjoint Y not     X meets Y not  not    X equals Y  not  not   X inside Y  not   not  Y inside X not  not   not  X covers Y not  not  not   Y covers X not  not  not  not  X overlaps Y X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

  43. X  Y X°  Y° X  Y° X°  Y Operation Topologische Relationen     X disjunkt Y not     X trifft Y not  not    X gleicht Y  not  not   X innerhalb Y  not   not  Y innerhalb X not  not   not  X überdeckt Y not  not  not   Y überdeckt X not  not  not  not  X überlappt Y X Y Lutz Plümer - Geoinformation - 1./5. Semester - WS 00/01 - Vorlesung 7

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