# 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 } }

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…

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## References

SHOWING 1-10 OF 23 REFERENCES

### A CONTINUOUS TRANSFORMATION USEFUL FOR DISTRICTING

- Mathematics
- 1973

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

- MathematicsStatistics in medicine
- 2001

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

- Computer Science
- 1990

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.

- Computer ScienceSocial science & medicine
- 1988

### AN ALGORITHM TO CONSTRUCT CONTINUOUS AREA CARTOGRAMS

- Computer Science
- 1985

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

- Computer Science, Mathematics
- 1993

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

- Geography
- 2004

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

- Physics, Education
- 1993

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

- Physics
- 2002

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.