Daniel,

My two thoughts were independent. I agree that parametric coordinates are more abstract, and thus possibly more confusing, than linear coordinates. But, as Randy pointed out in his reply, the relationship between the angles and longitude and latitude are quite complex. The abstraction of parametric functions and parameters avoids the problem of making definitions that are so specific that they aren't good for anything other than the one geostationary projection. I also am happy to admit to having made a less-than-perfect first pass at a definition.

Grace and peace,

Jim

On 4/19/18 10:18 AM, Randy Horne wrote:
Folks:

RE: “ *Definition:*"x" indicates a vector component along the grid x-axis, when this is not true longitude, positive with increasing x. Angular projection coordinates are angular distances in the x- and y-directions on a plane onto which the surface of the Earth has been projected according to a map projection. The relationship between the angular projection coordinates and latitude and longitude is described by the grid_mapping.”

specifically,

"are angular distances in the x- and y-directions on a plane onto which the surface of the Earth has been projected”

In the case of both the GOES-R and EUMETSAT, the angular distances are projected onto an Earth ellipsoid, whose definition is captured in the grid mapping.

v/r

randy



On Apr 19, 2018, at 10:06 AM, Daniel Lee <[email protected] <mailto:[email protected]>> wrote:

Hi Jim,
I for one find this more confusing than Ethan's definition, but maybe it's because I'm too far gone in my discipline to see the scope for misunderstanding. That being said, if we're being that general my feeling says to me that we may risk converging on a standard which isn't really applicable to any more specific application. Currently there is aproposal for CF-2 devoted specifically to swath data <https://github.com/Unidata/EC-netCDF-CF/blob/master/swath/swath.adoc>, and this has the potential to cover the need for a specific geostationary projection as well. Maybe that would also be a good path to take for other coordinate systems with non-linear relationships between projection coordinates and coordinates of other CRS - kind of general, but not overly abstract.
Cheers,
Daniel
*From:*CF-metadata [mailto:[email protected]]*On Behalf Of*Jim Biard
*Sent:*19 April 2018 15:32
*To:*[email protected] <mailto:[email protected]>
*Subject:*Re: [CF-metadata] Fix Geostationary projection, including proposal for two new standard names

Hi.

Here's a couple of thoughts.

The definition that Ethan has proposed fails to note that the angles are with respect to a normal to the projection surface at a point along the normal. I guess the phrase "angular distance" implies this, but my first read had me feeling confused about what was being described. On checking, I see that this is a minimalist variation on the projection_x/y_coordinate definitions. Do folks think that this is clear enough as is?

I know we tend not to follow this course, but I am wondering if we might not be better served overall by taking a more generic approach and defining parametric coordinates u and v (projection_u_coordinate and projection_v_coordinate). The canonical units would be '1' (unitless). The definition for parametric_u_coordinate would be something like

    "u" indicates an independent variable, or parameter, associated
    with an axis of a coordinate grid where this parameter is not a
    linear distance in a projection coordinate system, a Cartesian
    coordinate element, or a geographic latitude or longitude. The
    geographic latitude and longitude of each point in the coordinate
    grid are functions of the parameters associated with the grid
    axes. The relationship between the parametric coordinates and
    latitude and longitude is described by the grid_mapping.

The geostationary projection is one use case covered by parametric coordinates, and there are others. The native coordinates for most all satellite swath data are parametric - mirror angle and time, for example.

Grace and peace,

Jim

On 4/19/18 5:06 AM, Daniel Lee wrote:

    Hi Ethan,
    At first blush this looks pretty good. If we can agree on this in
    a short-ish time frame, it might be possible for EUMETSAT to
    publish data exclusively using these standard names - the planned
    launch date for MTG I1 is late 2021. This sounds like it's very
    far away, but in the space sector our planning horizons are a lot
    longer, so there's already a lot of work being done on it right
    now and at some point in the near future the specs will freeze.
    Best regards,
    Daniel
    *From:*CF-metadata [mailto:[email protected]]*On
    Behalf Of*Ethan Davis
    *Sent:*19 April 2018 05:40
    *To:*CF metadata<[email protected]>
    <mailto:[email protected]>
    *Subject:*[CF-metadata] Fix Geostationary projection, including
    proposal for two new standard names
    Hi all,
    Here's an initial proposal for fixing the geostationary
    projection as we've been discussing.
    Two new standard names:

        *Name:*projection_x_angular_coordinate
        *Canonical units:*radian
        *Definition:*"x" indicates a vector component along the grid
        x-axis, when this is not true longitude, positive with
        increasing x. Angular projection coordinates are angular
        distances in the x- and y-directions on a plane onto which
        the surface of the Earth has been projected according to a
        map projection. The relationship between the angular
        projection coordinates and latitude and longitude is
        described by the grid_mapping.
        *Name:* projection_y_angular_coordinate
        *Canonical units:* radian
        *Definition:* "y" indicates a vector component along the grid
        y-axis, when this is not true latitude, positive with
        increasing y. Angular projection coordinates are angular
        distances in the x- and y-directions on a plane onto which
        the surface of the Earth has been projected according to a
        map projection. The relationship between the angular
        projection coordinates and latitude and longitude is
        described by the grid_mapping.

    Replace the text of the current "Map coordinates:" section with

        The x (abscissa) and y (ordinate) projection coordinates are
        identified by the `standard_name` attribute values
        `projection_x_angular_coordinate` and
        `projection_y_angular_coordinate` respectively. In the case
        of this projection, the projection coordinates are directly
        related to the scanning angle of the satellite instrument.

    Add a deprecation note below the current "Notes:"

        *Deprecation Note:*
        The use of `projection_x_coordinate` and
        `projection_y_coordinate` for this projection has been
        deprecated.

        The initial definition of this projection used these standard
        names to identify the projection coordinates even though
        their canonical units (meters) do not mach those required for
        this projection (radians).

    Perhaps we should include information on when the deprecated
    feature was in effect:

        The initial definition for this projection was agreed on in
        May 2012 though it was not in the CF document until 1.7 was
        released in Sept 2017. It was corrected in ??? 2018.

    And do we also want to include information about large datasets
    that use this deprecated technique:

        In that time, several satellite missions were developed and
        launched that generate data that use this now deprecated
        method including GOES-R (operational in Dec 2017), EUMETSAT
        ???? ...

    That could alert people to the likelihood they (or any software
    they develop) might run into data using this deprecated feature.
    I'll move this to a Trac ticket (with an accompanying GitHub PR)
    once we discuss a bit.
    Cheers,
    Ethan

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voice & fax: (321) 952.5100
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