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  2. Spatial weight matrix - Wikipedia

    en.wikipedia.org/wiki/Spatial_weight_matrix

    The concept of a spatial weight is used in spatial analysis to describe neighbor relations between regions on a map. [1] If location i {\displaystyle i} is a neighbor of location j {\displaystyle j} then w i j ≠ 0 {\displaystyle w_{ij}\neq 0} otherwise w i j = 0 {\displaystyle w_{ij}=0} .

  3. Spatial Mathematics: Theory and Practice through Mapping

    en.wikipedia.org/wiki/Spatial_Mathematics:...

    Nevertheless, Mousavi recommends this book as an "introductory text on spatial information science" aimed at practitioners, and commends its use of QR codes and word clouds. [1] Stein praises the book's attempt to bridge mathematics and geography, and its potential use as a first step towards that bridge for practitioners. [ 2 ]

  4. Kriging - Wikipedia

    en.wikipedia.org/wiki/Kriging

    In geostatistical models, sampled data are interpreted as the result of a random process. The fact that these models incorporate uncertainty in their conceptualization doesn't mean that the phenomenon – the forest, the aquifer, the mineral deposit – has resulted from a random process, but rather it allows one to build a methodological basis for the spatial inference of quantities in ...

  5. Spatial analysis - Wikipedia

    en.wikipedia.org/wiki/Spatial_analysis

    Spatial autocorrelation statistics such as Moran's and Geary's are global in the sense that they estimate the overall degree of spatial autocorrelation for a dataset. The possibility of spatial heterogeneity suggests that the estimated degree of autocorrelation may vary significantly across geographic space.

  6. DE-9IM - Wikipedia

    en.wikipedia.org/wiki/DE-9IM

    The Dimensionally Extended 9-Intersection Model (DE-9IM) is a topological model and a standard used to describe the spatial relations of two regions (two geometries in two-dimensions, R 2), in geometry, point-set topology, geospatial topology, and fields related to computer spatial analysis.

  7. Simultaneous localization and mapping - Wikipedia

    en.wikipedia.org/wiki/Simultaneous_localization...

    A seminal work in SLAM is the research of R.C. Smith and P. Cheeseman on the representation and estimation of spatial uncertainty in 1986. [28] [29] Other pioneering work in this field was conducted by the research group of Hugh F. Durrant-Whyte in the early 1990s. [30] which showed that solutions to SLAM exist in the infinite data limit. This ...

  8. Geostatistics - Wikipedia

    en.wikipedia.org/wiki/Geostatistics

    Geostatistics is a branch of statistics focusing on spatial or spatiotemporal datasets.Developed originally to predict probability distributions of ore grades for mining operations, [1] it is currently applied in diverse disciplines including petroleum geology, hydrogeology, hydrology, meteorology, oceanography, geochemistry, geometallurgy, geography, forestry, environmental control, landscape ...

  9. Voronoi diagram - Wikipedia

    en.wikipedia.org/wiki/Voronoi_diagram

    Let be a metric space with distance function .Let be a set of indices and let () be a tuple (indexed collection) of nonempty subsets (the sites) in the space .The Voronoi cell, or Voronoi region, , associated with the site is the set of all points in whose distance to is not greater than their distance to the other sites , where is any index different from .