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  2. Spatial Mathematics: Theory and Practice through Mapping

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

    Chapter 6 concerns the types of data to be visualized, and the types of visualizations that can be made for them. Chapter 7 concerns spatial hierarchies and central place theory, while chapter 8 covers the analysis of spatial distributions in terms of their covariance. Finally, chapter 10 covers network and non-Euclidean data. [1] [3]

  3. 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.

  4. 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} .

  5. Trend surface analysis - Wikipedia

    en.wikipedia.org/wiki/Trend_surface_analysis

    Worldwide temperature trend analysis. Trend surface analysis is a mathematical technique used in environmental sciences (archeology, geology, soil science, etc.). Trend surface analysis (also called trend surface mapping) is a method based on low-order polynomials of spatial coordinates for estimating a regular grid of points from scattered observations.

  6. 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 ...

  7. Variogram - Wikipedia

    en.wikipedia.org/wiki/Variogram

    One is thus making a distinction between the experimental variogram that is a visualization of a possible spatial/temporal correlation and the variogram model that is further used to define the weights of the kriging function. Note that the experimental variogram is an empirical estimate of the covariance of a Gaussian process.

  8. Spatial statistics - Wikipedia

    en.wikipedia.org/wiki/Spatial_statistics

    Spatial statistics is a field of applied statistics dealing with spatial data. It involves stochastic processes ( random fields , point processes ), sampling , smoothing and interpolation , regional ( areal unit ) and lattice ( gridded ) data, point patterns , as well as image analysis and stereology .

  9. 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 ...