Inverse Distance Weighted Method for Point Interpolation on a Network

• SHIODE Shino

  Center for Spatial Information Science, University of Tokyo

Bibliographic Information

Other Title

• 逆距離加重法によるネットワーク空間上での点補間に関する研究
• ギャクキョリ カジュウホウ ニ ヨル ネットワーク クウカン ジョウ デ ノ テン ホカン ニ カンスル ケンキュウ

Abstract

This paper proposes Inverse Distance Weighted (IDW) interpolation on a network for analyzing the phenomena that occur on a network. This method interpolates an unknown attribute value at an arbitrary location on a network using observed values at some other points in its vicinity, which are called sample points. The shortest-path distances from the sample points to the unknown point are used in two separate stages. First, they are used for selecting the fixed number of nearest sample points. Second, the method discretely estimates the attribute value at an unknown point as a weighted mean of a function of their negative power. This is followed by the comparison of the difference in the results derived from the network interpolation and the planar interpolation. Cross validation is applied to the same data set of road networks and elevation data on a network.

Journal

• Theory and Applications of GIS

  Theory and Applications of GIS 13 (1), 33-41, 2005

  Geographic Information Systems Association

Keywords

• spatial interpolation
• inverse distance weighted interpolation
• cross validation
• shortest path distance

Details

• CRID: 1390001204475235200
• NII Article ID: 10016621072
• NII Book ID: AN10457305
• DOI: 10.5638/thagis.13.33
• ISSN: 21855633
• ISSN: 13405381
• NDL BIB ID: 7431301
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I7431301
• Text Lang: ja
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed