Chart and Atlas object [The Grid Entity]

Chart objects represent coordinate systems and spatial domains where they are valid. More...

Classes

• class GlobalCharts

  A list of chart identifiers (i.e. More...
  

• class Atlas

  The Grid Atlas contains the set of all charts which are defined on a Grid object. More...
  

• class Chart

  A generic Chart object that may be used to cast information of points within a manifold to numerical values. More...
  

• class ChartID

  A Chart ID is just a textual description of the certain chart object; there may be many chart objects which all share the same ChartID. More...
  

• class ChartIDList

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Detailed Description

Chart objects represent coordinate systems and spatial domains where they are valid.

They are related through their relationships, i.e. the transition rules. Such transition rules may be given numerically, through explicit data for each point of a Grid, or implicitely via a procedural rule which can be evaluated at each point in a spatial domain. All charts which have numerical transition rules are grouped within the same class of coordinate system. Within each class of coordinate systems, numerical transition rules are possible. Their numerical specification depends on a Grid, whereas the (procedural) transition rule between classes of coordinate systems is Grid-independent (but still might depend on the coordinates).

As another refinement, transition rules are only allowed among so-called global charts. Alternatively, data may be defined on local charts. These are local only on a certain Grid object, and transformations are only allowed within the same Grid. Still, charts local to Grids may be compatible on different Grids.