A general framework for error analysis in measurement-based GIS Part 3: Error analysis in intersections and overlays

Yee Leung, Jiang Hong Ma, Michael F. Goodchild

Research output: Contribution to journalArticle

12 Scopus citations

Abstract

This is the third of a four-part series on the development of a general framework for error analysis in measurement-based geographic information systems (MBGIS). In this paper, we study the characteristics of error structures in intersections and polygon overlays. When locations of the endpoints of two line segments are in error, we analyze errors of the intersection point and obtain its error covariance matrix through the propagation of the error covariance matrices of the endpoints. An approximate law of error propagation for the intersection point is formulated within the MBGIS framework. From simulation experiments, it appears that both the relative positioning of two line segments and the error characteristics of the endpoints can affect the error characteristics of the intersection. Nevertheless, the approximate law of error propagation captures nicely the error characteristics under various situations. Based on the derived results, error analysis in polygon-on-polygon overlay operation is also performed. The relationship between the error covariance matrices of the original polygons and the overlaid polygons is approximately established.

Original languageEnglish (US)
Pages (from-to)381-402
Number of pages22
JournalJournal of Geographical Systems
Volume6
Issue number4
DOIs
StatePublished - Dec 1 2004
Externally publishedYes

Keywords

  • Approximate law of error propagation
  • Error analysis
  • Intersection point
  • Line-in-polygon overlay
  • Polygon-on-polygon overlay

ASJC Scopus subject areas

  • Geography, Planning and Development
  • Earth-Surface Processes

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