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Encyclopedia > Local coordinates

Local coordinates are measurement indices into a local coordinate system or a local coordinate space. A simple example is using house numbers to locate a house on a street; the street is a local coordinate system within a larger system composed of city townships, states, countries, etc.


Local systems exist for convenience. Continuing the geographic example, one could use latitude and longitude for all terrestrial locations, but unless one has a highly precise GPS device, this is impractical.


Local coordinate spaces are also useful for their ability to model independently transformable aspects of geometrical scenegraphs. When modeling a car, for example, it is desirable to describe the center of each wheel with respect to the car's coordinate system, but then specify the shape of each wheel in separate local spaces centered about these points. This way, the information describing each wheel can be simply duplicated four times, and independent transformations (e.g., steering rotation) can be similarly effected. The disadvantage is computational cost: the rendering system must access the higher-level coordinate system of the car and combine it with the space of each wheel in order to draw everything in its proper place.


Local coordinates also afford digital designers a means around the finite limits of numerical representation. The tread marks on a tire, for example, can be described using millimetres by allowing the whole tire to occupy the entire range of numeric precision available. The larger aspects of the car, such as its frame, might be described in centimetres, and the terrain that the car travels on could be specified in meters.


  Results from FactBites:
 
Local coordinates - Wikipedia, the free encyclopedia (344 words)
Local coordinates are measurement indices into a local coordinate system or a local coordinate space.
Local coordinate spaces are also useful for their ability to model independently transformable aspects of geometrical scenegraphs.
In differential topology, local coordinates on a manifold are defined by means of an atlas of charts.
Establishment of Local Control Points for Mapping using GPS (299 words)
But, surveyors are not, usually, interested in coordinates of terrestrial points referring to a global frame; rather the results are preferred to be in a local coordinate frame.
The coordinates of control points thus found were in WGS 84 system and were transformed to local coordinate system by multiplying a with a coordinate transformation matrix.
The coordinates thus found served excellently in preparation of map of the area (of about 800 metre X 300meter) using data from terrestrial field observation.
  More results at FactBites »


 

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