Martin Desruisseaux created SIS-446:
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             Summary: NetCDF store should be robust to non-linear localization 
grid
                 Key: SIS-446
                 URL: https://issues.apache.org/jira/browse/SIS-446
             Project: Spatial Information Systems
          Issue Type: Task
          Components: Referencing, Storage
            Reporter: Martin Desruisseaux
            Assignee: Martin Desruisseaux
             Fix For: 1.0


Localization grid in netCDF files contain (longitude, latitude) values of all 
pixels. {{LocalizationGridBuilder}} first computes a linear (affine) 
approximation of a localization grid, then stores only the residual in its 
internal grid. The intent is to have small residual, which make easier to 
compute the _inverse_ transformation (given a latitude and longitude, find 
indices of the pixel at that location). However if the localization grid is 
non-linear, then the affine transform is a poor approximation of that grid and 
the residuals are high. High residual make _inverse_ transforms hard to 
compute, which result sometime in {{TransformException}} being throw with a "no 
convergence" error message.

In practice, the localization grid in netCDF files is often used for storing 
the results of a map projection. The Mercator projection for example is often 
used. The proposed fix is to allow {{LocalizationGridBuilder}} to try to 
transform the grid using a given list of map projections and see if one of 
those projections results in a grid closer to a linear transform. In other 
words, we should be able to "guess" what the projection may be. It is okay if 
the guess is not a perfect match; if the residuals become smalls, it will 
resolve the "no convergence" errors.



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