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https://doi.org/10.32909/kg.21.37.3

Smooth Pycnophylactic Interpolation Produced by Density-Equalising Map Projections

Michael T. Gastner orcid id orcid.org/0000-0002-1097-8833 ; Yale-NUS College, 16 College Avenue West, #01-220, Singapore 138527
Nihal Z. Miaji orcid id orcid.org/0000-0003-3459-6677 ; Yale-NUS College, 16 College Avenue West, #01-220, Singapore 138527
Adi Singhania orcid id orcid.org/0000-0001-5193-3343 ; Yale-NUS College, 16 College Avenue West, #01-220, Singapore 138527


Puni tekst: hrvatski pdf 1.760 Kb

str. 61-69

preuzimanja: 25

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Puni tekst: engleski pdf 1.760 Kb

str. 60-68

preuzimanja: 26

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Sažetak

A large amount of quantitative geospatial data is collected and aggregated in discrete enumeration units (e.g. countries or states). Smooth pycnophylactic interpolation aims to find a smooth, nonnegative function such that the area integral over each enumeration unit is equal to the aggregated data. Conventionally, smooth pycnophylactic interpolation is achieved by a cellular automaton algorithm that converts a piecewise constant function into an approximately smooth function defined on a grid of coordinates on an equal-area map. An alternative approach, proposed by Tobler in 1976, is to construct a density-equalising map projection in which areas of enumeration units are proportional to the aggregated data. A pycnophylactic interpolation can be obtained from the Jacobian of this projection. Here, we describe a software implementation of this method. Although solutions are not necessarily optimal in terms of predefined quantitative measures of smoothness, our method is computationally efficient and can potentially be used in tandem with other methods to accelerate convergence towards an optimal solution.

Ključne riječi

spatial interpolation, pycnophylactic density, contiguous cartogram, flow-based algorithm, fast Fourier transform, Gaussian convolution, Jacobian determinant

Hrčak ID:

279983

URI

https://hrcak.srce.hr/279983

Podaci na drugim jezicima: hrvatski

Posjeta: 140 *