From The Cover: Diffusion-based method for producing density-equalizing maps.

@article{Gastner2004FromTC,
  title={From The Cover: Diffusion-based method for producing density-equalizing maps.},
  author={Michael T. Gastner and Mark E. J. Newman},
  journal={Proceedings of the National Academy of Sciences of the United States of America},
  year={2004},
  volume={101 20},
  pages={
          7499-504
        }
}
  • M. GastnerM. Newman
  • Published 20 January 2004
  • Physics
  • Proceedings of the National Academy of Sciences of the United States of America
Map makers have for many years searched for a way to construct cartograms, maps in which the sizes of geographic regions such as countries or provinces appear in proportion to their population or some other analogous property. Such maps are invaluable for the representation of census results, election returns, disease incidence, and many other kinds of human data. Unfortunately, to scale regions and still have them fit together, one is normally forced to distort the regions' shapes, potentially… 

Figures from this paper

Fast flow-based algorithm for creating density-equalizing map projections

A flow-based algorithm whose equations of motion are numerically easier to solve compared with previous methods is introduced, allowing straightforward parallelization so that the calculation takes only a few seconds even for complex and detailed input.

Visualizing France with Cartograms

France has a long tradition of using statistical (choropleth) maps, which use shading to represent the spatial distribution of a variable, such as population, by department. Such maps lead the

Diffusion-Based Density-Equalizing Maps: an Interdisciplinary Approach to Visualizing Homicide Rates and Other Georeferenced Statistical Data

This physics-based approach provides a novel tool that can be used by interdisciplinary teams investigating statistics and model projections in a variety of fields such as economics and gross domestic product research, public health and epidemiology, sociodemographics, political science, business and marketing, and many others.

Density Equalizing Distortion of Large Geographic Point Sets

Two new approaches (RadialScale and AngularScale) are introduced to create density-equalized maps, while preserving recognizable features and neighborhoods in the visualization to build a more appropriate basis for analytic purposes.

An Experimental Study of Algorithms for Cartogram Generation

Some quantitative measures that can be used to evaluate how faithfully a cartogram represents the weights, as well as several measures for evaluating the readability of the final representation are defined.

Quantitative Measures for Cartogram Generation Techniques

A set of seven quantitative measures is defined, designed to evaluate how faithfully a cartogram represents the desired weights and to estimate the readability of the final representation.

Quantitative Measures for Cartogram Generation Techniques

A set of seven quantitative measures is defined, designed to evaluate how faithfully a cartogram represents the desired weights and to estimate the readability of the final representation.

TEN Innovative Ways of Mapping Data About Places

Spatial information about the world and its people has always been at the forefront of visualization. Most people are used to conventional maps of their regions, countries and the world. Such

Diffusion Cartograms for the Display of Periodic Table Data

Mapping methods employed by geographers, known as diffusion cartograms (diffusion-based density-equalizing maps), are used to present visually interesting and informative plots for data such as

Advanced cartogram construction using a constraint based framework

The visualization of social phenomena through classical thematic mapping often leads to unsatisfying representations. Classical political referendum maps, for instance, lead to an underestimation of
...

References

SHOWING 1-10 OF 23 REFERENCES

A CONTINUOUS TRANSFORMATION USEFUL FOR DISTRICTING

Suppose that one could stretch a geographical map so that areas containing many people would appear large, and areas containing few people would appear small. On a rubber map, for example, every

Use of a density equalizing map projection in analysing childhood cancer in four California counties

There is no evidence for geographic variation of risk among the cases studied, and the slight geographic non-uniformity observed among the real cases is well within the limits of variation observed in the samples of artificial cases.

Cartography and Geographic Information Systems

GIS technology promises to transform cartography by changing what gets mapped, what form maps take, who makes and uses maps, and how maps are used.

Transformations of maps to investigate clusters of disease.

AN ALGORITHM TO CONSTRUCT CONTINUOUS AREA CARTOGRAMS

A computer algorithm is presented which can handle more realistic descriptions of polygon boundaries than previous algorithms and manual methods, thus enhancing visual recognition.

A New Technique for Constructing Continuous Cartograms

This paper deals with the problem of constructing graphic images of territories that make the density of a variable (e.g., thedensity of population) uniform and describes a new algorithm and the results of its applications.

THE PROFESSIONAL GEOGRAPHER

The history and present condition of Geography have to be understood historically. A review of the roles of geographical knowledge under capitalism illustrates how it has changed in relation to

Theoretical Physics: A Classical Approach

This textbook is a thorough introduction to classical theoretical physics and after careful study of the book the student will be familiar with a wide variety of fields from advanced theoretical physics or applied physics.

Numerical recipes in C

The Diskette v 2.06, 3.5''[1.44M] for IBM PC, PS/2 and compatibles [DOS] Reference Record created on 2004-09-07, modified on 2016-08-08.