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Overview ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Introduction  (i) ,[object Object],[object Object],[object Object]
Introduction  (ii) ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Preparation of the polygon data base •  Identifying  meaningful structures •  Understanding  the spatial arrangement between them Unstructured data set Retrieving information More meaningful homogeneous regions ( e.g.  land-use parcels)
Test environment: LiDAR data
First order information TIN based on the Delaunay triangulation, the  maximal planar description  of the given point set (Kirkpatrick and Radke, 1985)
TIN facets binary classification   ( using 45 °   slope threshold )
Graph of adjacencies construction
Depth-first search  vs.  Breadth-first search 15  graph  vertices 6 2 3 12 11 9 7 4 5 8 10 13 15 14 1 6 2 3 12 11 9 7 4 10 15 14 1 8 13 5 Depth - first search Breadth - first search 1 6 2 3 12 11 9 7 4 5 8 10 13 15 14 traversed edges LEGEND 1, 1,…, 6 2 3 12 11 9 7 4 5 10 13 15 14 1 8
3
 
Problem: containment relationship between rings of “steep” polygons and “flat” polygons 200 Graph vertices Graph edges Polygon arcs Polygon nodes “ Flat” polygons “ Steep” polygons LEGEND 250 256 257 260 200
Graph of “touchings” between “steep” polygons
 
Summary and further work Unstructured data (LiDAR points)   TIN Features Understanding process Polygonal regions (x,y,z) coordinates Structures clustering into homogeneous regions Binary classification based on  Δ  slopes Identification of meaningful structures Cluster shapes delineation, derivation of its characteristics for the identification of higher order structures
Future applications ,[object Object],[object Object],[object Object],[object Object]

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8A_2_A containment-first search algorithm for higher-order analysis of urban topology

  • 1.  
  • 2.
  • 3.
  • 4.
  • 5. Preparation of the polygon data base • Identifying meaningful structures • Understanding the spatial arrangement between them Unstructured data set Retrieving information More meaningful homogeneous regions ( e.g. land-use parcels)
  • 7. First order information TIN based on the Delaunay triangulation, the maximal planar description of the given point set (Kirkpatrick and Radke, 1985)
  • 8. TIN facets binary classification ( using 45 ° slope threshold )
  • 9. Graph of adjacencies construction
  • 10. Depth-first search vs. Breadth-first search 15 graph vertices 6 2 3 12 11 9 7 4 5 8 10 13 15 14 1 6 2 3 12 11 9 7 4 10 15 14 1 8 13 5 Depth - first search Breadth - first search 1 6 2 3 12 11 9 7 4 5 8 10 13 15 14 traversed edges LEGEND 1, 1,…, 6 2 3 12 11 9 7 4 5 10 13 15 14 1 8
  • 11. 3
  • 12.  
  • 13. Problem: containment relationship between rings of “steep” polygons and “flat” polygons 200 Graph vertices Graph edges Polygon arcs Polygon nodes “ Flat” polygons “ Steep” polygons LEGEND 250 256 257 260 200
  • 14. Graph of “touchings” between “steep” polygons
  • 15.  
  • 16. Summary and further work Unstructured data (LiDAR points) TIN Features Understanding process Polygonal regions (x,y,z) coordinates Structures clustering into homogeneous regions Binary classification based on Δ slopes Identification of meaningful structures Cluster shapes delineation, derivation of its characteristics for the identification of higher order structures
  • 17.