RecMap: Rectangular Map Approximations

@article{Heilmann2004RecMapRM,
  title={RecMap: Rectangular Map Approximations},
  author={Roland Heilmann and Daniel A. Keim and Christian Panse and Mike Sips},
  journal={IEEE Symposium on Information Visualization},
  year={2004},
  pages={33-40}
}
In many application domains, data is collected and referenced by its geospatial location. Nowadays, different kinds of maps are used to emphasize the spatial distribution of one or more geospatial attributes. The nature of geospatial statistical data is the highly nonuniform distribution in the real world data sets. This has several impacts on the resulting map visualizations. Classical area maps tend to highlight patterns in large areas, which may, however, be of low importance. Cartographers… 

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References

SHOWING 1-10 OF 13 REFERENCES

Cartographic visualization: exploratory spatial data analysis with local indicators of spatial association using Tcl/Tk and cdv

This introduction to the software and approach outlines some of the rationale behind the development and contains an overview of the cartographic and statistical ESDA functionality.

CartoDraw: a fast algorithm for generating contiguous cartograms

An efficient iterative scanline algorithm to reposition edges while preserving local and global shapes and a shape similarity function, which is based on a Fourier transformation of the polygons' curvatures are proposed.

Continuous cartogram construction

A new algorithm for the construction of continuous area cartograms is presented that was developed by viewing their construction as a constrained optimization problem and uses a relaxation method that exploits hierarchical resolution, constrained dynamics, and a scheme that alternates goals of achieving correct region areas and adjusting region shapes.

Efficient cartogram generation: a comparison

This work compares two algorithms to solve the problem of making continuous cartograms that strictly retain the topology of the input mesh, which uses pixel-based distortion based on a quadtree-like data structure.

On rectangular cartograms

The first algorithms for rectangular cartogram construction are presented and a non-trivial class of rectangular subdivisions for which exact cartograms can be efficiently computed is characterized.

Tree-maps: a space-filling approach to the visualization of hierarchical information structures

The tree-map visualization technique makes 100% use of the available display space, mapping the full hierarchy onto a rectangular region in a space-filling manner, which allows very large hierarchies to be displayed in their entirety and facilitates the presentation of semantic information.

Graph Theory with Applications

The burgeoning of Graph Theory was first aware when I studied the 1940 paper of Brooks, Smith, Stone and Tutte in the Duke Mathematical Journal, ostensibly on squared rectangles, all in the Quest of the Perfect Square.

Genetic algorithms and engineering optimization

This paper presents a meta-modelling framework that automates the very labor-intensive and therefore time-heavy and therefore expensive and labor-heavy process of designing and solving optimization problems.

Produktions- und Operations-Management

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