A Spatial Structuration Heuristic for Integrated Automated Map Generalisation with Attribute and Geometry
map generalization, classification, competing algorithm, entropy, thematic maps census population
a geometric generalisation
an attribute generalisation
clustering, spatial clustering
line simplification, amalgamation, elimination ..., line smoothing, schematisation, ...
•
• •
a Map
sequential approaches integrated approaches
is described by characteristics related to the objects composing the map:
integrated optimisation here we used
•
optimisation process = at each iteration choosing the “best” operator
, atomic transformation
among geometric and attribute families of operators [ref]
• “best”= increasing the spatial organisation or structuration = minimising the Spatial entropy [ref]
• spatial Cooccurrences at distance d of the feature types define the organisation of the objects of the map for the given characteristic description: distribution
with steps i.e. choice of local (iteration level) best
d =1600m
•
Spatial Heuristic
operators for attribute were very simple
Transformation
•
40
60
80
100
Iteration
B
-1.35
20
-1.45
0
Of_geo + Of_att
attr geom
Transformation attr geom
d =1000m
0
20
40
60
Iteration
first results
80
combined optimisation makes sense only if operators introduce some interaction in the characteristics (geometry . attribute) e.g. spatial clustering based on pixel
• heuristic towards clumped feature types
-1.55
Of_geo + Of_att
-1.5 -1.4 -1.3 -1.2 -1.1 -1.0 -0.9 -0.8
Spatial Heuristic
100
insure more homogeneity but not necessarily simplification. Solutions may be: initial simplification of some, add more characteristic descriptions for geometry)
See also the abstract with [ref]erences http://www.nottingham.ac.uk/cgs/cgs_didier_leibovici.html
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