Spatially referenced methods of processing raster and vector data

Bell, Sarah Beth; Diaz, Bernard M.; Holroyd, Fred; Jackson, M. J.

doi:10.1016/0262-8856(83)90020-3

Cited by 60 publications

(17 citation statements)

References 7 publications

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“…Bell et al (1983Bell et al ( , 1989 suggest additional properties which they feel are valuable in image processing and automated cartography applications. Of these, the two most important are that:…”

Section: Properties Of Planar Regular Tessellationsmentioning

confidence: 99%

Global and local spatial autocorrelation in bounded regular tessellations

Boots¹,

Tiefelsdorf²

2000

J Geograph Syst

114

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This paper systematically investigates spatially autocorrelated patterns and the behaviour of their associated test statistic Moran's I in three bounded regular tessellations. These regular tessellations consist of triangles, squares, and hexagons, each of increasing size n 64; 256; 1024. These tesselations can be downloaded at http://geo-www.sbs.ohio-state.edu/faculty/ tiefelsdorf/regspastruc/ in several GIS formats. The selection of squares is particularly motivated by their use in raster based GIS and remote sensing. In contrast, because of topological correspondences, the hexagons serve as excellent proxy tessellations for empirical maps in vector based GIS. For all three tessellations, the distributional characteristics and the feasibility of the normal approximation are examined for global Moran's I, Moran's I k associated with higher order spatial lags, and local Moran's I i . A set of eigenvectors can be generated for each tessellation and their spatial patterns can be mapped. These eigenvectors can be used as proxy variables to overcome spatial autocorrelation in regression models. The particularities and similarities in the spatial patterns of these eigenvectors are discussed. The results indicate that [i] the normal approximation for Moran's I is not always feasible;[ii] the three tessellations induce di¨erent distributional characteristics of Moran's I, and [iii] di¨erent spatial patterns of eigenvectors are associated with the three tessellations.

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Section: Properties Of Planar Regular Tessellationsmentioning

confidence: 99%

Global and local spatial autocorrelation in bounded regular tessellations

Boots¹,

Tiefelsdorf²

2000

J Geograph Syst

114

View full text Add to dashboard Cite

show abstract

“…The solution is to use a finer granularity, however, this can cause a major storage problem. This storage problem can be greatly reduced by using quadtrees (Samet 1984) or tesseral arithmetic (Gargantini 1982;Bell et al 1983;Coenen et al 1998). Both techniques can provide savings on storage of silhouette like shapes, where representation of an area is important.…”

Section: Regularmentioning

confidence: 98%

Spatial Models for Wide-Area Visual Surveillance: Computational Approaches and Spatial Building-Blocks

Howarth

2005

Artif Intell Rev

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Spatial models play a key role when interpreting a dynamic and uncertain world for a wide-area surveillance application. This paper presents two different views to illustrate the range of spatial models. First, we take a top-down look, where we survey various work relevant to the development of spatial models and how they have been used in AI applications. Then we take a more bottom-up look, starting with a promising spatial primitive to identify a useful foundation that can support visual surveillance applications.

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“…Bell and collaborators [6] cited work on crystal lattice structures by Laves [30] that defined four uniform planar meshes. Those authors named them as Laves nets.…”

Section: Laves Netsmentioning

confidence: 98%