On Wed, Jun 11, 2008 at 8:49 PM, Martin Desruisseaux
<[EMAIL PROTECTED]> wrote:
>
> Jon Blower a écrit :
>> 1) A coverage represented internally by a grid (e.g. numerical model
>> output, digital photo or satellite image) is a type of
>> DiscreteCoverage in ISO19123 (perhaps a DiscreteGridPointCoverage)?
>
> In my understanding, a ContinuousCoverage could be backed by a grid as well, 
> but
> with the addition of an interpolation.
>
>
>> 2) For a DiscreteCoverage, if I ask for a value at a point that
>> doesn't correspond exactly with a grid point I will get the value from
>> the nearest grid point (i.e. nearest-neighbour interpolation).  Or do
>> I actually get null?
>
> Nearest neighbour in my understanding.
>

>
>
>> 3) However, in GeoTools, the DiscreteCoverages are not implemented.
>> The GridCoverage2D class does not implement ISO19123 interfaces but it
>> is effectively a discrete coverage that performs nearest-neighbour
>> interpolation.
>
> Yes. A subtile nuance is that a GridCoverage2D subclass (namely 
> Interpolator2D)
> act as a ContinuousCoverage. If GridCoverage2D is declared as a 
> DiscreteCoverage
> and if we follow ISO 19123 spirit, then GridCoverage2D should not have any
> children that are ContinuousCoverage; it would need to be a different 
> hierarchy.
>

I am not so sure about this interpreation, but of course I might be wrong.

The coverage function for a DiscreteCoverage list a collection of
GeometryValue pairs.
A GeometryValue  pair would be something like <DomainObject, Record>.

If we have a discrete coverage where the DomainObjects are points we
should then have a set of pairs <pont,values>. I remember that 19123
says that locate and evaluate should return null or (no data) if ask
for a direct position that is not contained in any of the
DomainObjects contained in the overage function collection.

Note that the case of having an envelope as a DomainObject would mean
that have only record for the coverage over the whole envelope.

To summarize, it seems to me that a GridCoverage2D as it is
implemented right now is a ContinuousCoverage that simply does NN
interpolation within its envelope.
If we would want to implement it as a discrete coverage where the
DomainObjects are points we should have  to provide a geom-value pair
for each point inside what we actually call the envelope of the
coverage and return null if we don't ask exactly for one of the
positions we have.
Of course this opens a discussion by itself since we would have to
decide how close we have to be to a certain point to actually say,
that we have a much. Food for more thoughts probably...


Simone.

>
>> 4) If I want bilinear (or bicubic or anything else) interpolation then
>> I need to take my GridCoverage2D and somehow convert it to an
>> Interpolator2D.  How do I do this?
>
> Use the Operations.interpolate(...) method.
>
>
>> Another question: Is it possible to have different interpolation
>> methods in different directions (e.g. nearest-neighbour in the
>> horizontal, linear in the vertical)?
>
> Yes. Interpolator2D acts only on 2D slices. In order to create the vertical or
> temporal dimension, you can give a list of GridCoverage2D (or Interpolator2D) 
> to
> CoverageStack. The later uses its own interpolation mechanism for the 
> dimensions
> that are not managed by Interpolator2D. Currently the supported CoverageStack
> interpolations are only nearest neighbor and linear.
>
>        Martin
>
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