Simultaneous graphic generalization of vector data sets
Harrie, Lars LU
and Sarjakoski, T
(2002)
In GeoInformatica
6(3).
p.233-261
- Abstract
- Manual cartographic generalization is a simultaneous process. However, most automatic approaches so far have been sequential; generalization operators are applied one at a time in a certain order. This has been the case both for model generalization (generalization of the conceptual model) and graphic generalization. Our research seeks to demonstrate that the graphic part of cartographic generalization can be formulated as an optimization problem and accordingly be solved in a single step. This paper deals with several issues regarding this optimization approach. Firstly, a set of appropriate analytical constraints for the generalization process is given, as well as rules for when to apply these constraints. In our approach, we are limited... (More)
- Manual cartographic generalization is a simultaneous process. However, most automatic approaches so far have been sequential; generalization operators are applied one at a time in a certain order. This has been the case both for model generalization (generalization of the conceptual model) and graphic generalization. Our research seeks to demonstrate that the graphic part of cartographic generalization can be formulated as an optimization problem and accordingly be solved in a single step. This paper deals with several issues regarding this optimization approach. Firstly, a set of appropriate analytical constraints for the generalization process is given, as well as rules for when to apply these constraints. In our approach, we are limited to formulating these constraints on point locations. Secondly, least-squares adjustment is proposed to find the optimal solution according to the constraints. Finally, the conjugate-gradients method is recommended for solving the normal equations. A prototype system for simultaneous graphic generalization has been implemented in C++, which communicates with a commercial map production system. Results from three tests of the prototype system are included in the paper. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/331027
- author
- Harrie, Lars
LU
and Sarjakoski, T
- organization
- publishing date
- 2002
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- conjugate-gradients method, Delaunay triangulation, least-squares adjustment, map generalization, graphic generalization
- in
- GeoInformatica
- volume
- 6
- issue
- 3
- pages
- 233 - 261
- publisher
- Springer
- external identifiers
-
- wos:000177422900002
- scopus:0036741719
- ISSN
- 1384-6175
- DOI
- 10.1023/A:1019765902987
- language
- English
- LU publication?
- yes
- id
- ded93b0d-7204-4560-baa6-c5a8e6c0add2 (old id 331027)
- date added to LUP
- 2016-04-01 12:04:48
- date last changed
- 2022-03-28 19:56:16
@article{ded93b0d-7204-4560-baa6-c5a8e6c0add2,
abstract = {{Manual cartographic generalization is a simultaneous process. However, most automatic approaches so far have been sequential; generalization operators are applied one at a time in a certain order. This has been the case both for model generalization (generalization of the conceptual model) and graphic generalization. Our research seeks to demonstrate that the graphic part of cartographic generalization can be formulated as an optimization problem and accordingly be solved in a single step. This paper deals with several issues regarding this optimization approach. Firstly, a set of appropriate analytical constraints for the generalization process is given, as well as rules for when to apply these constraints. In our approach, we are limited to formulating these constraints on point locations. Secondly, least-squares adjustment is proposed to find the optimal solution according to the constraints. Finally, the conjugate-gradients method is recommended for solving the normal equations. A prototype system for simultaneous graphic generalization has been implemented in C++, which communicates with a commercial map production system. Results from three tests of the prototype system are included in the paper.}},
author = {{Harrie, Lars and Sarjakoski, T}},
issn = {{1384-6175}},
keywords = {{conjugate-gradients method; Delaunay triangulation; least-squares adjustment; map generalization; graphic generalization}},
language = {{eng}},
number = {{3}},
pages = {{233--261}},
publisher = {{Springer}},
series = {{GeoInformatica}},
title = {{Simultaneous graphic generalization of vector data sets}},
url = {{http://dx.doi.org/10.1023/A:1019765902987}},
doi = {{10.1023/A:1019765902987}},
volume = {{6}},
year = {{2002}},
}