Qualitative Spatial ChangeOxford University Press, 2000 - 409 Seiten This book is a contribution to the emerging discipline of Qualitative Spatial Information Theory. The discipline has arisen from a realization that traditional quantitative techniques for the analysis of spatial phenomena must be supplemented by a wide range of qualitative methods if we are to use information technology effectively to further our capacity for handling spatio-temporal information. Such qualitative methods must be supported by a body of theory concerning the nature and organization of our spatio-temporal concepts. This theory will cover time, space, objects in space, their spatial attributes, changes in those attributes, and the temporal structure of those changes. In this book each topic is given a chapter to itself, and theory of qualitative spaces as partitions of quantitative spaces is developed in detail, and applied to numerous particular cases. The theory thus provides a uniform basis for the further development of formal and computational theories of spatial change. |
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Seite 19
... mode spaces The picture which we have obtained from both the triangles and the colour examples can be summarized as follows . We have an objectively determined space of variation that can be ... mode spaces 19 Phase spaces and mode spaces.
... mode spaces The picture which we have obtained from both the triangles and the colour examples can be summarized as follows . We have an objectively determined space of variation that can be ... mode spaces 19 Phase spaces and mode spaces.
Seite 342
... mode will occur next . For example , the mode ( — , — , 0 ) can be followed by any of ( − , − , + ) , ( − , − , 0 ) , and ( — , — , — ) . Of course we know that if the system were to be fully described , using as parameters the ...
... mode will occur next . For example , the mode ( — , — , 0 ) can be followed by any of ( − , − , + ) , ( − , − , 0 ) , and ( — , — , — ) . Of course we know that if the system were to be fully described , using as parameters the ...
Seite 343
... mode q1 to mode q2 I illustrate these ideas with examples of each of the patterns 1-3 : • Suppose q1 = ( 0 , + , + ) . At time t1 , the velocity is positive ... mode - transition diagram . We know that mode 8.1 . Phase spaces revisited 343.
... mode q1 to mode q2 I illustrate these ideas with examples of each of the patterns 1-3 : • Suppose q1 = ( 0 , + , + ) . At time t1 , the velocity is positive ... mode - transition diagram . We know that mode 8.1 . Phase spaces revisited 343.
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adjacency area-separation atomic axioms beg(i beg(j Boolean algebra boundary boundary-separation circle closed sets co-dimension complement components conceptual neighbourhood connected connectivity space consider continuous convex corresponding curvature definition diagram dimension discrete discrete space discussed distinct dominance element end(i entities event-type example finite function geometry given granularity Hausdorff distance hence holds hole instant interior interval irreflexive kind linear logic material objects mathematical means measure Mereology mereotopology mode space notion NTPP occur ontology overlap pair phase space point-set point-set topology position possible properties q₁ qualitative quantitative R₁ RCC relations real numbers reference object reflectional symmetry regarded regions regular open sets representation represented rotation sense sequence set of points shape shown in Figure spatial change specified subinterval subspace subspace topology supervenient surface symmetry t₁ temporal theorem theory three-dimensional three-dimensional space tion TM space topological topological space transition triangle xneg ypos zero
Verweise auf dieses Buch
Event-Oriented Approaches in Geographic Information Science: A Special Issue ... Kathleen Hornsby,Michael Worboys Keine Leseprobe verfügbar - 2004 |
Classics from IJGIS: Twenty years of the International Journal of ... Peter Fisher Keine Leseprobe verfügbar - 2006 |