[galeon] coverage dimensions (was: Re: WCS CF-netCDF profile document)

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Wenli-

you are right, an (n-x) D case always can be embedded into n-D space for
x>0. However, from a data structure viewpoint I would distinguish: while
a 1-D timeseries can be seen as { (x,y,t,v) | x=x0, y=y0 } in practice
one still would store a 1-D array plus the location of the sensor, that
is: (x0,y0).
In the end, as you know I am most sympathetic with this your notion of
n-D arrays (ie, coverages with an n-D domain) as it allows to unify (and
correlate) all these different data.

-Peter


Wenli Yang wrote:
Peter and Kerian,

I think that it's a good idea to start collecting requirements and to investigate what WCS can and can't do. I believe that until this point, WCS deals with "grid coverage" only but not more general coverage types including feature coverage (vector data types). Thus, WCS essentially is for N-dimensional data arrays, especially those having two of the N dimensions associated to two near horizontal geographic/projected coordinate reference system. A 1-D time series data array, e.g., Data(time) at a fixed location can be considered as a special case of 3-D, with the two horizontal Ds fixed at one point, e.g., Data(time,lat,lon) where the dimension sizes of lat and lon are one. A 2-D time series vertical profile data array, e.g., Data(time,pressure) at a fixed location can be considered as a special case of 4-D, with the two horizontal Ds fixed at one point, e.g., Data(time,pressure, lat,lon) where the dimension sizes of lat and lon are one.
Similarly, a data array of any n-D fixed at one location can be considered as 
(n+2)-D by adding two spatial Ds having dimension sizes being one.

Multiple n-D data arrays at multiple locations or one (n+1)-D data array, where none of 
the "n-D" is horizontal spatial dimension, can be considered a (n+1)-D coverage 
with one of the dimension indicating a spatial location.  This dimension that indicates 
spatial location may be an location ID, lookup table, etc which can be associated with a 
2-D near horizontal position.  This dimension can be indicated using an Engineering 
coordinate axis such a locationID, profilePosition, etc.  How can such n-D or (n+1)-D 
data array, or coverage, be handled in WCS?  How about more complicated data structures 
such as meshes described in Kerian's email?  I guess that the best way is to list use 
cases/requirements as Peter suggested.


Wenli



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