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Volume-preserving interpolation of a smooth surface from polygon-related data

Author

Listed:
  • Wolf-Dieter Rase

    (Federal Office for Building and Regional Planning (BBR) Am Michaelshof 8, 53177 Bonn, Germany (e-mail: rase@acm.org, rase@bbr.bund.de))

Abstract

. The interpolation of continuous surfaces from discrete points is supported by most GIS software packages. Some packages provide additional options for the interpolation from 3D line objects, for example surface-specific lines, or contour lines digitized from topographic maps. Demographic, social and economic data can also be used to construct and display smooth surfaces. The variables are usually published as sums for polygonal units, such as the number of inhabitants in communities or counties. In the case of point and line objects the geometric properties have to be maintained in the interpolated surface. For polygon-based data the geometric properties of the polygon boundary and the volume should be preserved, avoiding redistribution of parts of the volume to neighboring units during interpolation. The pycnophylactic interpolation method computes a continuous surface from polygon-based data and simultaneously enforces volume preservation in the polygons. The original procedure using a regular grid is extended to surface representations based on an irregular triangular network (TIN).

Suggested Citation

  • Wolf-Dieter Rase, 2001. "Volume-preserving interpolation of a smooth surface from polygon-related data," Journal of Geographical Systems, Springer, vol. 3(2), pages 199-213, August.
    • Handle: RePEc:kap:jgeosy:v:3:y:2001:i:2:d:10.1007_pl00011475
    DOI: 10.1007/PL00011475
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    Cited by:

    1. Paweł Cebrykow & Mirosław Krukowski & Małgorzata Flaga & Krzysztof Kałamucki, 2016. "Changes in the population distribution in Poland in the years 1946--2012," Journal of Maps, Taylor & Francis Journals, vol. 12(4), pages 655-658, July.
    2. Kiatkulchai Jitt-Aer & Graham Wall & Dylan Jones & Richard Teeuw, 2022. "Use of GIS and dasymetric mapping for estimating tsunami-affected population to facilitate humanitarian relief logistics: a case study from Phuket, Thailand," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 113(1), pages 185-211, August.

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