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+.. _geodetictiffgrids:
+
+================================================================================
+Geodetic TIFF grids (GTG)
+================================================================================
+
+.. versionadded:: 7.0
+
+Introduction
+++++++++++++
+
+The Geodetic TIFF grid format has been introduced per :ref:`rfc4`. It is a
+profile of the TIFF and GeoTIFF formats that addresses the specific requirements
+of geodetic grids: horizontal shifts, vertical shifts, velocity grids, etc...
+It also follows the `Cloud Optimized GeoTIFF <http://cogeo.org>`_ principles.
+
+Such grids are available on a :ref:`CDN of GeoTIFF grids <cdn_grids>`.
+
+.. _gtg_general_description:
+
+General description
++++++++++++++++++++
+
+The general principles that guide the following requirements and recommendations
+are such that files will be properly recognized by PROJ, and also by GDAL which
+is an easy way to inspect such grid files:
+
+- `TIFF 6.0 <https://www.awaresystems.be/imaging/tiff/specification/TIFF6.pdf>`_
+ based (could possibly be BigTIFF without code changes, if we ever
+ need some day to handle grids larger than 4GB)
+
+- `GeoTIFF 1.1 <http://docs.opengeospatial.org/is/19-008r4/19-008r4.html>`_ for the georeferencing.
+ GeoTIFF 1.1 is a recent standard, compared to the original GeoTIFF 1.0 version,
+ but its backward compatibility is excellent, so that should not cause much trouble
+ to readers that are not official GeoTIFF 1.1 compliant.
+
+- Files hosted on the CDN will use a Geographic 2D CRS for the GeoTIFF GeoKeys.
+ That CRS is intended to be the interpolation CRS as defined in
+ `OGC Abstract Specification Topic 2 <http://docs.opengeospatial.org/as/18-005r4/18-005r4.html>`_,
+ that is the CRS to which grid values are refered to.
+
+ Given that they will nominally be related to the EPSG dataset, the `GeodeticCRSGeoKey
+ <http://docs.opengeospatial.org/is/19-008r4/19-008r4.html#_requirements_class_geodeticcrsgeokey>`_
+ will be used to store the EPSG code of the CRS. If the CRS cannot be reliably
+ encoded through that key or other geokeys, the ``interpolation_crs_wkt`` metadata
+ item detailed afterwards should be used.
+
+ This CRS will be generally the source CRS (for geographic to
+ geographic horizontal shift grids, or geographic to vertical shift grids), but
+ for vertical to vertical CRS adjustment, this will be the geographic CRS to
+ which the grid is referenced. In some very rare cases of geographic to vertical
+ shift grids, the interpolation CRS might be a geographic CRS that is not the
+ same as the source CRS (into which ellipsoidal height are expressed). The only
+ instance we have in mind is for the EPSG:7001 "ETRS89 to NAP height (1)" transformation
+ using the naptrans2008 VDatum-grid which is referenced to Amersfoort EPSG:4289
+ instead of ETRS89...
+
+ On the reading side, PROJ will ignore that information:
+ the CRS is already stored in the source_crs or interpolation_crs column of the
+ grid_transformation table.
+
+ For geographic to vertical shift files (geoid models), the GeoTIFF 1.1
+ convention will be used to store the value of the `VerticalGeoKey
+ <http://docs.opengeospatial.org/is/19-008r4/19-008r4.html#_requirements_class_verticalgeokey>`_
+ So a geoid model that apply to WGS 84 EPSG:4979 will have GeodeticCRSGeoKey = 4326
+ and VerticalGeoKey = 4979.
+
+- Files hosted on the CDN will use the GeoTIFF defined `ModelTiepointTag and ModelPixelScaleTag
+ <http://docs.opengeospatial.org/is/19-008r4/19-008r4.html#_raster_to_model_coordinate_transformation_requirements>`_ TIFF tags
+ to store the coordinates of the upper-left pixel and the resolution of the pixels.
+ On the reading side, they will be required and ModelTransformationTag will be ignored.
+
+ .. note::
+
+ Regarding anti-meridian handling, a variety of possibilities exist.
+ We do not attempt to standardize this and filesh hosted on the CDN will use
+ a georeferencing close to the original data producer.
+ For example, NOAA vertical grids that apply to Conterminous USA might even have a top-left
+ longitude beyond 180 (for consistency with Alaska grids, whose origin is < 180)
+ Anti-meridian handling in PROJ has probably issues. This RFC does not attempt
+ to address them in particular, as they are believed to be orthogonal to the
+ topics it covers, and being mostly implementation issues.
+
+- Files hosted on the CDN will use the `GTRasterTypeGeoKey
+ <http://docs.opengeospatial.org/is/19-008r4/19-008r4.html#_requirements_class_gtrastertypegeokey>`_
+ = PixelIsPoint convention.
+ This is the convention used by most existing grid formats currently. Note that GDAL
+ typically use a PixelIsArea convention (but can handle both conventions), so the
+ georeferencing it displays when opening a .gsb or .gtx file appears to have a
+ half-pixel shift regarding to the coordinates stored in the original grid file. On
+ the reading side, PROJ will accept both conventions (for equivalent georeferencing,
+ the value of the origin in a PixelIsArea convention is shifted by a half-pixel
+ towards the upper-left direction). Unspecified behaviour if this GeoKey is absent.
+
+- Files hosted on the CDN will be tiled, presumably with 256x256 tiles (small
+ grids that are smaller than 256x256 will use a single strip). On the reading
+ side, PROJ will accept TIFF files with any strip or tile organization.
+ Tiling is expressed by specifying the TileWidth, TileHeight, TileOffsets
+ and TileByteCounts tags. Strip organization is expressed by specifying the
+ RowsPerStrip, StripByteCounts and StripOffsets tags.
+
+- Files hosted on the CDN will use `Compression
+ <https://www.awaresystems.be/imaging/tiff/tifftags/compression.html>`_ = DEFLATE
+ or LZW (to be determined, possibly with
+ `Predictor <https://www.awaresystems.be/imaging/tiff/tifftags/predictor.html>`_ = 2
+ or 3)
+ On the reading side, PROJ will accept TIFF files with any compression method
+ (appropriate for the data types and PhotometricInterpretation considered)
+ supported by the libtiff build used by PROJ. Of course uncompressed files will be supported.
+
+- Files hosted on the CDN will use little-endian byte ordering. On the reading
+ side, libtiff will transparently handle both little-endian and big-endian
+ ordering.
+
+- Files hosted on the CDN will use PlanarConfiguration=Separate.
+ The tools described in a later section will order blocks so that blocks needed
+ for a given location are close to each other.
+ On the reading side, PROJ will handle also PlanarConfiguration=Contig.
+
+- Files hosted on the CDN will generally use Float32 (BitsPerSample=32 and SampleFormat=IEEEFP)
+ Files may be created using Signed Int 16 (
+ `BitsPerSample <https://www.awaresystems.be/imaging/tiff/tifftags/bitspersample.html>`_ =16 and
+ `SampleFormat <https://www.awaresystems.be/imaging/tiff/tifftags/sampleformat.html>`_ = INT),
+ Unsigned Int 16 (BitsPerSample=16 and SampleFormat=UINT), Signed Int 32 or Unsigned Int 32 generally with an
+ associate scale/offset.
+ On the reading side, only those three data types will be supported as well.
+
+- Files hosted on the CDN will have a `PhotometricInterpretation
+ <https://www.awaresystems.be/imaging/tiff/tifftags/photometricinterpretation.html>`_ = MinIsBlack.
+ It will be assumed, and ignored on the reading side.
+
+- Files hosted on the CDN will nominally have:
+
+ * `SamplesPerPixel <https://www.awaresystems.be/imaging/tiff/tifftags/samplesperpixel.html>`_ = 2
+ for horizontal shift grid, with the first sample being the longitude offset
+ and the second sample being the latitude offset.
+
+ * SamplesPerPixel = 1 for vertical shift grids.
+
+ In the future, different values of SamplesPerPixel may be used to accomodate
+ for other needs. For example for deformation models, SamplesPerPixel = 3 to combine
+ horizontal and vertical adjustments.
+ And even for the current identified needs of horizontal or vertical shifts,
+ more samples may be present (to indicate for example uncertainties), but
+ will be ignored by PROJ.
+
+ The `ExtraSamples <https://www.awaresystems.be/imaging/tiff/tifftags/extrasamples.html>`_
+ tag should be set to a value of SamplesPerPixel - 1 (given the rules that
+ apply for PhotometricInterpretation = MinIsBlack)
+
+- The `ImageDescription <https://www.awaresystems.be/imaging/tiff/tifftags/imagedescription.html>`_
+ tag may be used to convey extra information about the name, provenance, version
+ and last updated date of the grid.
+ Will be set when possible fo files hosted on the CDN.
+ Ignored by PROJ.
+
+- The `Copyright <https://www.awaresystems.be/imaging/tiff/tifftags/copyright.html>`_
+ tag may be used to convey extra information about the copyright and license of the grid.
+ Will be set when possible fo files hosted on the CDN.
+ Ignored by PROJ.
+
+- The `DateTime <https://www.awaresystems.be/imaging/tiff/tifftags/datetime.html>`_
+ tag may be used to convey the date at which the file has been created or
+ converted. In case of a file conversion, for example from NTv2, this will be
+ the date at which the conversion has been performed. The ``ImageDescription``
+ tag however will contain the latest of the CREATED or UPDATED fields from the NTv2 file.
+ Will be set when possible fo files hosted on the CDN.
+ Ignored by PROJ.
+
+- Files hosted on the CDN will use the `GDAL_NODATA
+ <https://www.awaresystems.be/imaging/tiff/tifftags/gdal_nodata.html>`_ tag to encode
+ the value of the nodata / missing value, when it applies to the grid.
+
+ If offset and/or scaling is used, the nodata value corresponds to the raw value,
+ before applying offset and scaling.
+ The value found in this tag, if present, will be honoured (to the extent to
+ which current PROJ code makes use of nodata).
+ For floating point data, writers are strongly discouraged to use non-finite values
+ (+/- infinity, NaN) of nodata to maximimize interoperability.
+ The GDAL_NODATA value applies to all samples of a given TIFF IFD.
+
+- Files hosted on the CDN will use the `GDAL_METADATA
+ <https://www.awaresystems.be/imaging/tiff/tifftags/gdal_metadata.html>`_ tag to encode extra
+ metadata not supported by baseline or extended TIFF.
+
+ * The root XML node should be ``GDALMetadata``
+
+ * Zero, one or several child XML nodes ``Item`` may be present.
+
+ * A Item should have a ``name`` attribute, and a child text node with its value.
+ ``role`` and ``sample`` attributes may be present for attributes that have
+ a special semantics (recognized by GDAL). The value of `sample` should be
+ a integer value between 0 and number_of_samples - 1.
+
+ * Scale and offset to convert integer raw values to floating point values
+ may be expressed with XML `Item` elements whose name attribute is respectively
+ ``SCALE`` and ``OFFSET``, and their ``role`` attribute is respectively ``scale``
+ and ``offset``. The decoded value will be: {offset} + {scale} * raw_value_from_geotiff_file
+
+ For a offset value of 1 and scaling of 2, the following payload should be
+ stored:
+
+ .. code-block:: xml
+
+ <GDALMetadata>
+ <Item name="OFFSET" sample="0" role="offset">1</Item>
+ <Item name="SCALE" sample="0" role="scale">2</Item>
+ </GDALMetadata>
+
+ * The type of the grid must be specified with a `Item` whose ``name`` is set
+ to ``TYPE``.
+
+ Values recognized by PROJ currently are:
+
+ - ``HORIZONTAL_OFFSET``: implies the presence of at least two samples.
+ The first sample must contain the latitude offset and the second
+ sample must contain the longitude offset.
+ Corresponds to PROJ ``hgridshift`` method.
+
+ - ``VERTICAL_OFFSET_GEOGRAPHIC_TO_VERTICAL``: implies the presence of at least one sample.
+ The first sample must contain the vertical adjustment. Must be used when
+ the source/interpolation CRS is a Geographic CRS and the target CRS a Vertical CRS.
+ Corresponds to PROJ ``vgridshift`` method.
+
+ - ``VERTICAL_OFFSET_VERTICAL_TO_VERTICAL``: implies the presence of at least one sample.
+ The first sample must contain the vertical adjustment. Must be used when
+ the source and target CRS are Vertical CRS.
+ Corresponds to PROJ ``vgridshift`` method.
+
+ - ``GEOCENTRIC_TRANSLATION``: implies the presence of at least 3 samples.
+ The first 3 samples must be respectively the geocentric adjustments along
+ the X, Y and Z axis. Must be used when the source and target CRS are
+ geocentric CRS. The interpolation CRS must be a geographic CRS.
+ Corresponds to PROJ ``xyzgridshift`` method.
+
+ - ``VELOCITY``: implies the presence of at least 3 samples.
+ The first 3 samples must be respectively the velocities along
+ the E(ast), N(orth), U(p) axis in the local topocentric coordinate system.
+ Corresponds to PROJ ``deformation`` method.
+
+ For example:
+
+ .. code-block:: xml
+
+ <Item name="TYPE">HORIZONTAL_OFFSET</Item>
+
+ * The description of each sample must be specified with a Item whose ``name``
+ attribute is set to ``DESCRIPTION`` and ``role`` attribute to ``description``.
+
+ Values recognized by PROJ for this Item are currently:
+
+ + ``latitude_offset``: valid for TYPE=HORIZONTAL_OFFSET. Sample values should be
+ the value to add a latitude expressed in the CRS encoded in the GeoKeys
+ to obtain a latitude value expressed in the target CRS.
+
+ + ``longitude_offset``: valid for TYPE=HORIZONTAL_OFFSET. Sample values should be
+ the value to add a longitude expressed in the CRS encoded in the GeoKeys
+ to obtain a longitude value expressed in the target CRS.
+
+ + ``geoid_undulation``: valid for TYPE=VERTICAL_OFFSET_GEOGRAPHIC_TO_VERTICAL.
+ For a source CRS being a geographic CRS and a target CRS being a vertical CRS,
+ sample values should be the value to add to a geoid-related height (that
+ is expressed in the target CRS) to
+ get an ellipsoidal height (that is expressed in the source CRS), also
+ called the geoid undulation.
+ Note the possible confusion related to what is the source CRS and target CRS and
+ the semantics of the value stored (to convert from the source to the target,
+ one must subtract the value contained in the grid). This is the convention
+ used by the `EPSG:9665 <https://www.epsg-registry.org/export.htm?gml=urn:ogc:def:method:EPSG::9665>`_
+ operation method.
+
+ + ``vertical_offset``: valid for TYPE=VERTICAL_OFFSET_VERTICAL_TO_VERTICAL.
+ For a source and target CRS being vertical CRS,
+ sample values should be the value to add to an elevation expressed in the
+ source CRS to obtain a longitude value expressed in the target CRS.
+
+ + ``x_translation`` / ``y_translation`` / ``z_translation``: valid for
+ TYPE=GEOCENTRIC_TRANSLATION.
+ Sample values should be the value to add to the input geocentric coordinates
+ expressed in the source CRS to geocentric coordinates expressed in the target CRS.
+
+ + ``east_velocity`` / ``north_velocity`` / ``up_velocity``: valid for
+ TYPE=VELOCITY.
+ Sample values should be the velocity in a linear/time unit in a ENU local
+ topocentric coordinate system.
+
+ For example:
+
+ .. code-block:: xml
+
+ <Item name="DESCRIPTION" sample="0" role="description">latitude_offset</Item>
+ <Item name="DESCRIPTION" sample="1" role="description">longitude_offset</Item>
+
+ Other values may be used (not used by PROJ):
+
+ + ``latitude_offset_accuracy``: valid for TYPE=HORIZONTAL_OFFSET. Sample values should be
+ the accuracy of corresponding latitude_offset samples. Generally in metre (if converted from NTv2)
+
+ + ``longitude_offset_accuracy``: valid for TYPE=HORIZONTAL_OFFSET. Sample values should be
+ the accuracy of corresponding longitude_offset samples. Generally in metre (if converted from NTv2)
+
+ * The sign convention for the values of the ``longitude_offset`` channel
+ should be indicated with an Item named ``positive_value`` whose value
+ can be ``west`` or ``east``. NTv2 products originally use a ``west``
+ convention, but when converting from them to GeoTIFF, the sign of those
+ samples will be inverted so they use a more natural ``east`` convention.
+ If this item is absent, the default value is ``east``.
+
+ * The unit of the values stored in the grid must be specified for each
+ sample through an Item of name ``UNITTYPE`` and role ``unittype``
+ Valid values should be the name of entries from the EPSG ``unitofmeasure``
+ table. To maximize interoperability, writers are strongly encouraged to
+ limit themselves to the following values:
+
+ For linear units:
+
+ - ``metre`` (default value assumed if absent for vertical shift grid files, and value used for files stored on PROJ CDN)
+ - ``US survey foot``
+
+ For angular units:
+
+ - ``degree``
+ - ``arc-second`` (default value assumed if absent for longitude and latitude offset samples of horizontal shift grid files, and value used for files stored on PROJ CDN)
+
+ For velocity units:
+
+ - ``millimetres per year``
+
+ The longitude and latitude offset samples should use the same unit.
+ The geocentric translation samples should use the same unit.
+ The velocity samples should use the same unit.
+
+ Example:
+
+ .. code-block:: xml
+
+ <Item name="UNITTYPE" sample="0" role="unittype">arc-second</Item>
+ <Item name="UNITTYPE" sample="1" role="unittype">arc-second</Item>
+
+ * The ``target_crs_epsg_code`` metadata item should be present.
+ For a horizontal shift grid, this is the EPSG
+ code of the target geographic CRS. For a vertical shift grid, this is the
+ EPSG code of a the target vertical CRS.
+ If the target CRS has no associated EPSG code, ``target_crs_wkt`` must be
+ used.
+ Ignored by PROJ currently.
+
+ * The ``target_crs_wkt`` metadata item must be present if the
+ ``target_crs_epsg_code`` cannot be used.
+ Its value should be a valid WKT string according to
+ `WKT:2015 <http://docs.opengeospatial.org/is/12-063r5/12-063r5.html>`_
+ or `WKT:2019 <hhttp://docs.opengeospatial.org/is/18-010r7/18-010r7.html>`_
+ Ignored by PROJ currently.
+
+ * The ``source_crs_epsg_code`` metadata item must be present if the source
+ and interpolation CRS are not the same (typical use case is vertical CRS to vertical CRS
+ transformation), because the GeoKeys encode the interpolation CRS and not the source CRS.
+ If the source CRS has no associated EPSG code, ``source_crs_wkt`` must be
+ used.
+ Ignored by PROJ currently.
+
+ * The ``source_crs_wkt`` metadata item must be present if the
+ ``source_crs_epsg_code`` cannot be used.
+ Its value should be a valid WKT string according to WKT:2015 or WKT:2019.
+ Ignored by PROJ currently.
+
+ * The ``interpolation_crs_wkt`` metadata item may be present if the GeoKeys
+ cannot be used to express reliably the interpolation CRS.
+ Its value should be a valid WKT string according to WKT:2015 or WKT:2019.
+ Ignored by PROJ currently.
+
+ * The ``recommended_interpolation_method`` metadata item may be present to
+ describe the method to use to interpolation values at locations not
+ coincident with nodes stored in the grid file. Potential values: ``bilinear``,
+ ``bicubic``.
+ Ignored by PROJ currently.
+
+ * The ``area_of_use`` metadata item can be used to indicate plain text information
+ about the area of use of the grid (like "USA - Wisconsin"). In case of multiple
+ subgrids, it should be set only on the first one, but applies to the whole
+ set of grids, not just the first one.
+
+ * The ``grid_name`` metadata item should be present if there are
+ subgrids for this grid (that is grids whose extent is contained in the extent
+ of this grid), or if this is a subgrid.
+ It is intended to be a relatively short identifier
+ Will be ignored by PROJ (this information can be inferred by the grids extent)
+
+ * The ``parent_grid_name`` metadata item should be present if this is a
+ subgrid and its value should be equal to the paren's ``grid_name``
+ Will be ignored by PROJ (this information can be inferred by the grids extent)
+
+ * The ``number_of_nested_grids`` metadata item should be present if there are
+ subgrids for this grid (that is grids whose extent is contained in the extent
+ of this grid).
+ Will be ignored by PROJ (this information can be inferred by the grids extent)
+
+Example
++++++++
+
+https://github.com/rouault/sample_proj_gtiff_grids/blob/master/ntf_r93.tif has
+been converted from https://github.com/OSGeo/proj-datumgrid/blob/master/ntf_r93.gsb
+with https://github.com/rouault/sample_proj_gtiff_grids/blob/master/ntv2_to_gtiff.py
+
+::
+
+ $ tiffinfo ntf_r93.tif
+
+ TIFF Directory at offset 0x4e (78)
+ Image Width: 156 Image Length: 111
+ Bits/Sample: 32
+ Sample Format: IEEE floating point
+ Compression Scheme: AdobeDeflate
+ Photometric Interpretation: min-is-black
+ Extra Samples: 3<unspecified, unspecified, unspecified>
+ Samples/Pixel: 4
+ Rows/Strip: 111
+ Planar Configuration: separate image planes
+ ImageDescription: NTF (EPSG:4275) to RGF93 (EPSG:4171). Converted from ntf_r93.gsb (version IGN07_01, last updated on 2007-10-31)
+ DateTime: 2019:12:09 00:00:00
+ Copyright: Derived from work by IGN France. Open License https://www.etalab.gouv.fr/wp-content/uploads/2014/05/Open_Licence.pdf
+ Tag 33550: 0.100000,0.100000,0.000000
+ Tag 33922: 0.000000,0.000000,0.000000,-5.500000,52.000000,0.000000
+ Tag 34735: 1,1,1,3,1024,0,1,2,1025,0,1,2,2048,0,1,4275
+ Tag 42112: <GDALMetadata>
+ <Item name="grid_name">FRANCE</Item>
+ <Item name="target_crs_epsg_code">4171</Item>
+ <Item name="TYPE">HORIZONTAL_OFFSET</Item>
+ <Item name="UNITTYPE" sample="0" role="unittype">arc-second</Item>
+ <Item name="DESCRIPTION" sample="0" role="description">latitude_offset</Item>
+ <Item name="positive_value" sample="1">east</Item>
+ <Item name="UNITTYPE" sample="1" role="unittype">arc-second</Item>
+ <Item name="DESCRIPTION" sample="1" role="description">longitude_offset</Item>
+ <Item name="UNITTYPE" sample="2" role="unittype">arc-second</Item>
+ <Item name="DESCRIPTION" sample="2" role="description">latitude_offset_accuracy</Item>
+ <Item name="UNITTYPE" sample="3" role="unittype">arc-second</Item>
+ <Item name="DESCRIPTION" sample="3" role="description">longitude_offset_accuracy</Item>
+ </GDALMetadata>
+
+ Predictor: floating point predictor 3 (0x3)
+
+
+::
+
+ $ listgeo ntf_r93.tif
+
+ Geotiff_Information:
+ Version: 1
+ Key_Revision: 1.1
+ Tagged_Information:
+ ModelTiepointTag (2,3):
+ 0 0 0
+ -5.5 52 0
+ ModelPixelScaleTag (1,3):
+ 0.1 0.1 0
+ End_Of_Tags.
+ Keyed_Information:
+ GTModelTypeGeoKey (Short,1): ModelTypeGeographic
+ GTRasterTypeGeoKey (Short,1): RasterPixelIsPoint
+ GeodeticCRSGeoKey (Short,1): Code-4275 (NTF)
+ End_Of_Keys.
+ End_Of_Geotiff.
+
+ GCS: 4275/NTF
+ Datum: 6275/Nouvelle Triangulation Francaise
+ Ellipsoid: 7011/Clarke 1880 (IGN) (6378249.20,6356515.00)
+ Prime Meridian: 8901/Greenwich (0.000000/ 0d 0' 0.00"E)
+ Projection Linear Units: User-Defined (1.000000m)
+
+ Corner Coordinates:
+ Upper Left ( 5d30' 0.00"W, 52d 0' 0.00"N)
+ Lower Left ( 5d30' 0.00"W, 40d54' 0.00"N)
+ Upper Right ( 10d 6' 0.00"E, 52d 0' 0.00"N)
+ Lower Right ( 10d 6' 0.00"E, 40d54' 0.00"N)
+ Center ( 2d18' 0.00"E, 46d27' 0.00"N)
+
+::
+
+ $ gdalinfo ntf_r93.tif
+
+ Driver: GTiff/GeoTIFF
+ Files: ntf_r93.tif
+ Size is 156, 111
+ Coordinate System is:
+ GEOGCRS["NTF",
+ DATUM["Nouvelle Triangulation Francaise",
+ ELLIPSOID["Clarke 1880 (IGN)",6378249.2,293.466021293627,
+ LENGTHUNIT["metre",1]]],
+ PRIMEM["Greenwich",0,
+ ANGLEUNIT["degree",0.0174532925199433]],
+ CS[ellipsoidal,2],
+ AXIS["geodetic latitude (Lat)",north,
+ ORDER[1],
+ ANGLEUNIT["degree",0.0174532925199433]],
+ AXIS["geodetic longitude (Lon)",east,
+ ORDER[2],
+ ANGLEUNIT["degree",0.0174532925199433]],
+ ID["EPSG",4275]]
+ Data axis to CRS axis mapping: 2,1
+ Origin = (-5.550000000000000,52.049999999999997)
+ Pixel Size = (0.100000000000000,-0.100000000000000)
+ Metadata:
+ AREA_OR_POINT=Point
+ grid_name=FRANCE
+ target_crs_epsg_code=4171
+ TIFFTAG_DATETIME=2019:12:09 00:00:00
+ TIFFTAG_IMAGEDESCRIPTION=NTF (EPSG:4275) to RGF93 (EPSG:4171). Converted from ntf_r93.gsb (version IGN07_01, last updated on 2007-10-31)
+ TYPE=HORIZONTAL_OFFSET
+ Image Structure Metadata:
+ COMPRESSION=DEFLATE
+ INTERLEAVE=BAND
+ Corner Coordinates:
+ Upper Left ( -5.5500000, 52.0500000) ( 5d33' 0.00"W, 52d 3' 0.00"N)
+ Lower Left ( -5.5500000, 40.9500000) ( 5d33' 0.00"W, 40d57' 0.00"N)
+ Upper Right ( 10.0500000, 52.0500000) ( 10d 3' 0.00"E, 52d 3' 0.00"N)
+ Lower Right ( 10.0500000, 40.9500000) ( 10d 3' 0.00"E, 40d57' 0.00"N)
+ Center ( 2.2500000, 46.5000000) ( 2d15' 0.00"E, 46d30' 0.00"N)
+ Band 1 Block=156x111 Type=Float32, ColorInterp=Gray
+ Description = latitude_offset
+ Unit Type: arc-second
+ Band 2 Block=156x111 Type=Float32, ColorInterp=Undefined
+ Description = longitude_offset
+ Unit Type: arc-second
+ Metadata:
+ positive_value=east
+ Band 3 Block=156x111 Type=Float32, ColorInterp=Undefined
+ Description = latitude_offset_accuracy
+ Unit Type: arc-second
+ Band 4 Block=156x111 Type=Float32, ColorInterp=Undefined
+ Description = longitude_offset_accuracy
+ Unit Type: arc-second
+
+Multi-grid storage
+++++++++++++++++++
+
+Formats like NTv2 can contain multiple subgrids. This can be transposed to
+TIFF by using several IFD chained together with the last 4 bytes (or 8 bytes
+for BigTIFF) of an IFD pointing to the offset of the next one.
+
+The first IFD should have a full description according to the
+:ref:`General description <gtg_general_description>`.
+Subsequent IFD might have a more compact description, omitting for example, CRS
+information if it is identical to the main IFD (which should be the case for
+the currently envisionned use cases), or Copyright / ImageDescription metadata
+items.
+
+Each IFD will have its
+`NewSubfileType <https://www.awaresystems.be/imaging/tiff/tifftags/newsubfiletype.html>`_
+tag set to 0.
+
+If a low-resolution grid is available, it should be put before subgrids of
+higher-resolution in the chain of IFD linking. On reading, PROJ will use the
+value from the highest-resoluted grid that contains the point of interest.
+
+For efficient reading from the network, files hosted on the CDN will use
+a layout similar to the one described in the `low level paragraph of the Cloud Optimized GeoTIFF
+GDAL driver page <https://gdal.org/drivers/raster/cog.html#low-level>`_
+
+The layout for a file converted from NTv2 will for example be:
+
+- TIFF/BigTIFF header/signature and pointer to first IFD (Image File Directory)
+- "ghost area" indicating the generated process
+- IFD of the first grid, followed by TIFF tags values, excluding the TileOffsets and TileByteCounts arrays
+- ...
+- IFD of the last grid, followed by TIFF tags values, excluding the GDAL_METADATA tag, TileOffsets and TileByteCounts arrays
+- TileOffsets and TileByteCounts arrays for first IFD
+- ...
+- TileOffsets and TileByteCounts arrays for last IFD
+- Value of GDAL_METADATA tag for IFDs following the first IFD
+- First IFD: Data corresponding to latitude offset of Block_0_0
+- First IFD: Data corresponding to longitude offset of Block_0_0
+- First IFD: Data corresponding to latitude offset of Block_0_1
+- First IFD: Data corresponding to longitude offset of Block_0_1
+- ...
+- First IFD: Data corresponding to latitude offset of Block_n_m
+- First IFD: Data corresponding to longitude offset of Block_n_m
+- ...
+- Last IFD: Data corresponding to latitude offset of Block_0_0
+- Last IFD: Data corresponding to longitude offset of Block_0_0
+- Last IFD: Data corresponding to latitude offset of Block_0_1
+- Last IFD: Data corresponding to longitude offset of Block_0_1
+- ...
+- Last IFD: Data corresponding to latitude offset of Block_n_m
+- Last IFD: Data corresponding to longitude offset of Block_n_m
+
+If longitude_offset_accuracy and latitude_offset_accuracy are present, this
+will be followed by:
+
+- First IFD: Data corresponding to latitude offset accuracy of Block_0_0
+- First IFD: Data corresponding to longitude offset accuracy of Block_0_0
+- ...
+- First IFD: Data corresponding to latitude offset accuracy of Block_n_m
+- First IFD: Data corresponding to longitude offset accuracy of Block_n_m
+- ...
+- Last IFD: Data corresponding to latitude offset accuracy of Block_0_0
+- Last IFD: Data corresponding to longitude offset accuracy of Block_0_0
+- ...
+- Last IFD: Data corresponding to latitude offset accuracy of Block_n_m
+- Last IFD: Data corresponding to longitude offset accuracy of Block_n_m
+
+.. note::
+
+ TIFF has another mechanism to link IFDs, the SubIFD tag. This potentially
+ enables to define a hiearchy of IFDs (similar to HDF5 groups). There is no
+ support for that in most TIFF-using software, notably GDAL, and no compelling
+ need to have a nested hiearchy, so "flat" organization with the standard IFD chaining
+ mechanism is adopted.
+
+Examples of multi-grid dataset
+++++++++++++++++++++++++++++++
+
+https://github.com/rouault/sample_proj_gtiff_grids/blob/master/GDA94_GDA2020_conformal.tif has
+been converted from https://github.com/OSGeo/proj-datumgrid/blob/master/oceania/GDA94_GDA2020_conformal.gsb
+with https://github.com/rouault/sample_proj_gtiff_grids/blob/master/ntv2_to_gtiff.py
+
+It contains 5 subgrids. All essential metadata to list the subgrids and their
+georeferencing is contained within the first 3 KB of the file.
+
+The file size is 4.8 MB using DEFLATE compression and floating-point predictor.
+To be compared with the 83 MB of the original .gsb file.
+
+https://github.com/rouault/sample_proj_gtiff_grids/blob/master/ntv2_0.tif has
+been converted from https://github.com/OSGeo/proj-datumgrid/blob/master/north-america/ntv2_0.gsb
+
+It contains 114 subgrids. All essential metadata to list the subgrids and their
+georeferencing is contained within the first 40 KB of the file.