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The process that converts coordinates from one coordinate system to another through translation, rotation, and scaling.

Affine Transformation
affine transformation - [Euclidean geometry] A geometric transformation that scales, rotates, skews, and/or translates images or coordinates between any two Euclidean spaces.

A common transformation in North American data is between NAD83 and WGS84, or between the GCS North American 1927 and GCS WGS 1984 geographic coordinate systems as shown below.

Geometric Transformations
This function is concerned with the registering of a data layer to a common coordinate scheme. This usually involves registering selected data layers to a standard data layer already registered.

00155: No transformation exists from the data frame's datum to WGS 1984 Major Auxiliary Sphere ...

Elastic body transformation
A least-squares computer software program run against a raw digitized data source map to produce a geographically true "X" and "Y" coordinate database referenced to any standard map system.

This land use/land transformation modeling workshop will focus on three main themes: (1) the use of landscape ecology approaches for land transformation/land use change modeling, and, in particular, ...

Transformations and Associative Procedures
In addition to nouns, our analysis requires associations. We need to model what we mean by properties NEAR subway stops. For this we will use many of the basic procedures of vector GIS: ...

B-56. The next step is derivation of transformation parameters between minimally constrained adjusted vectors and selected points in local geodetic system.

Format Transformations
Format is the pattern into which data are systematically arranged for use on a computer. Format transformations are used to get data into acceptable GIS format.

Transformation Parameter Computation: 5) Compute image-to-photo transformation parameters
6) Initialize exposure station parameters
7) Compute photo-to-target transformation parameters ...

The transformation phase of a Spatial ETL process allows a variety of functions; some of these are similar to standard ETL, but some are unique to spatial data.

The transformation from the latitude and longitude co-ordinates into the geocentric co-ordinates is rather straightforward and turns ellipsoidal latitude (j), longitude (l) and height (h) into X,Y and Z, ...

the transformation is made to the surface of a cone tangent at a small circle (tangent case) or intersecting at two small circles (secant case) on a globe ...

Affine transformation - A combination of linear transformations (rotation and scaling) followed by translation (shift of position). In geographic data processing, affine transformation is used to register maps of different scales and origins.

2. New transformation method for map projection using Delaunay Triangulation, in addition to the least square bi-linear method.

Topic 9: Transformation of Raster Datasets
Supplemental references
Knuth, Donald., The Art of Computer Programming, Volume 3: Sorting and Searching. Second Edition, 1998, Addison-Wesley, MA. ISBN 0-201-89685-0.

DataGroup Transformation Services
Part Rendering Upgrade Wizard
Architectural: ...

Geometry > Transformations > Miscellaneous Transformations >
Area-Preserving Map
A map from to is area-preserving if ...

Coordinate transformations defined by mapping relations
Usually those relations are not functions (e.g., the same point on the sphere may be represented by several points on the map).

However the transformation is easy to automatize if the data in their metadata header contain transformation parameters to a generally accepted local reference corresponding the site the data describe.

3) Apply the transformation matrix to each pixel on the image to map the old location to the new location. In the case of DEMs, each point has three dimensions while L1A data has two dimensions and involves only planar transformations.

map-to-page transformation The process of positioning and scaling a map on a graphic page. It controls how coverage coordinates are transformed into graphics on the display screen or plotter page.

The geometric transformations that arise during map reprojection efforts can cause problems for raster graphics and represent a third disadvantage to using the raster data model.

A mathematical transformation of he earth's surface to create a flat map sheet. The UTM projection is well suited for small areas.
Unzip/Zip ...

Area (containment): arcs containing a polygon with given area Transformation The process of converting data from one coordinate system to another through translation, rotation, and scaling.

No map projection transformation can maintain scale everywhere. Angles, areas, distances and directions will be altered in the planar representation of the ellipsoidal earth.

For information on transformations to other grid systems:
New Zealand Map Grip from Land Information New Zealand, the official mapping agency of NZ ...

General Coordinate Transformation Package (software); Geographic Coordinate Transformation Package (software)
Geologic Div. (USGS); Geospatial data; Graphic digitization ...

10 properties that remain unchanged despite transformations of the numbers used to represent a measurement. isolated object frameworks p.

coordinate transformation Source: GETIS glossary A mathematical operation on coordinates that includes a change of datum.

This can be distinguished from the transformations done within GIS analysis software by the fact that these changes are permanent, more complex and time consuming.

This is an error measurement that most GIS report during geometric transformation of data sets. It is mathematically the spatial equivalent to the standard deviation.

See also: See also: Transform, Information, Map, Model, Coordinate

GIS  Transform  Transgression

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