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Tessellation

GIS TesselationTesseral

tessellation
See Also: Thiessen polygons
[data structures] The division of a two-dimensional area into polygonal tiles, or a three-dimensional area into polyhedral blocks, in such a way that no figures overlap and there are no gaps.

 


[edit] Tessellations with quadrilaterals
Copies of an arbitrary quadrilateral can form a tessellation with 2-fold rotational centers at the midpoints of all sides, ...

Tessellation - The recursive decomposition of a given geographic space into regular (e.g. square cells) or irregular (e.g. irregular triangles) units. Quad tree is another common form of tessellation in geographic data processing.

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- tessellation: regular (bitmaps, grids, RLE, Morton ordering, hierarchical tree structures), irregular (Triangulated Irregular Network)
- vector: unstructured (spaghetti, primitive instancing, entity-by-entity), topological (TIGER, DIME) ...

Delaunay Tetrahedral Tessellations (DTT) developed from TIN is causing more interesting results, in recent years, which may be a powerful vector structure. Each of both structures has different characteristics in spatial manipulation and analysis.

A regular grid is a tessellation of the Euclidean plane by congruent rectangles or a space-filling tessellation of rectilinear parallelepipeds.

grid -- (1) a set of grid cells forming a regular, or nearly regular, tessellation of a surface; (2) a set of points arrayed in a pattern that forms a regular, or nearly regular, tessellation of a surface.

Author's Notes: A good discussion of polyhedral and other 3-dimensional coordinate systems is in Topic 12, "Modeling locational uncertainty via hierarchical tessellation, ...

-l Output tessellation as a graph (lines), not areas -t Do not create attribute table --overwrite Force overwrite of output files
Parameters:
input=name Name of input vector map output=name Name for output vector map ...

Raster - "1. An element of a space that has been subdivided into regular tiles by tessellation. 2. Commonly, a data set, as for an image or DEM, composed of rasters. 3. Often used as a synonym for grid" (Bonham-Carter, 1994, p. 373).

65 a spatial data model based upon a regular tessellation of a surface into pixels or grid cells. ratio p. 12 a level of measurement that includes both extensive and derived measurements.

See also: Model, Analysis, GIS, Vector, Information