XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 1 Modelling Cartographic Relations for Categorical Maps Moritz Neun and Stefan Steiniger University of Zürich, Department of Geography Swiss National Science Foundation Project: DEGEN {neun, sstein}@geo.unizh.ch
33
Embed
1XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 Modelling Cartographic Relations for Categorical Maps Moritz Neun and Stefan Steiniger.
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 1
Modelling Cartographic Relations for Categorical Maps
Moritz Neun and Stefan Steiniger
University of Zürich, Department of Geography
Swiss National Science Foundation Project: DEGEN
{neun, sstein}@geo.unizh.ch
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 2
Outline
1. Motivation
2. Introducing Relations
3. Modelling Horizontal & Vertical Relations
4. Outlook
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 3
1. Motivation
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 4
Thematic (Categorical) Maps
Most research in generalization on topographic maps
majority of maps are of thematic nature (categorical, GIS, facilities, networks, POI ...)
focus on thematic mapswith polygons ina generic approach
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 17
Topological Properties
Topologic structure:- Island (in other polygon or background)
- Island cluster- Landscape (complete tesselation)
Ring model relationisland
island cluster
landscape
ring modelwith three levels
Topologic neighbourhood
Nine-Intersection Model (9IM) : e.g. overlap, touch, contain, ...
neigbourhood
l1l2
l3
A 1
2
2
3
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 18
Structural Properties
visible patterns gestalt theory meso structures
A proximity groupings
B similarity (size, shape, orientation)
C grouping by type
D parallelism
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 19
Horizontal & Vertical Relations
Horizontal relations
of map objects exist within one specific scale or level of detail (LOD) and represent common structural properties.
horizontal relations
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 20
Horizontal & Vertical Relations
Horizontal relations
of map objects exist within one specific scale or level of detail (LOD) and represent common structural properties.
horizontal relations vertical relations
1:25k
1:200k
Vertical relations
are links between single map objects or groups of map objects between different map scales and LODs.
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 21
vertical relations
map object relations LOD relations
semantic structural
neigbourhoodmatrix
diversity
configuration
similarity
legend
type priorities
causal & logic
identity relation1:1
group relationn:m
simplification
smoothing
enlargement
exaggeration
collapse
aggregation(alignment, cluster)
amalgamation(cluster)
typification(cluster, alignment)
symbolization
displacement
partitioning
(e.g. by alignments)
relations between propertiesof whole LODs
e.g. semantic similarity or type prioritiesfor aggregation
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 22
vertical relations
map object relations LOD relations
semantic structural
neigbourhoodmatrix
diversity
configuration
similarity
legend
type priorities
causal & logic
identity relation1:1
group relationn:m
simplification
smoothing
enlargement
exaggeration
collapse
aggregation(alignment, cluster)
amalgamation(cluster)
typification(cluster, alignment)
symbolization
displacement
partitioning
(e.g. by alignments)
relations between single map objects or groups matching and formalisation of thegeometrical, topological and semantical outcomewith abstract generalization operators
abstract procedural knowledge
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 23
Vertical Identity Relations 1:1
x
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 24
Vertical Identity Relations 1:1
x
A Coruña
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 25
Vertical Group Relations n:m
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 26
Enrichment of Relations
XXII International Cartographic Conference, A Coruña, July 9-16th, 2005 27