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Lossy compression through coordinate sampling #326

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offset
davidhassell Nov 30, 2020
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indices
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indices
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indices
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super
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more text following 2020-11-27 discussions (#3)
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tie_point_dimension (1)
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tie point
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tie_point_dimension (5)
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Anders subsampled (#4)
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corrected interpolation_configuration description
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Lossy (#5)
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Anders subsampled (#6)
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zone/area rewording
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multiple mappings
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multiple mappings
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multiple mappings
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Multiply mapped dinterpolation dimensions (#8)
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typos and some minor rewording suggestions
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typos and some minor rewording suggestions
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format
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Typos and some minor rewording suggestions (#9)
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Size of a tie point interpolation dimension
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The creator of the compressed data
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Typos and proposed rewordings (#11)
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The same interpolation variable may
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example formatting
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example formatting
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example formatting
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interpolation_parameters
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interpolation parameters variable dimensions
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interpolation parameters variable dimensions
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minumum size of interpolation zones
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Appendix A attributes
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interpolation -> sampling
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Conformance - first draft
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Interpolation parameters (#15)
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conformance changes for new interpolation variable
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conformance changes for new interpolation variable
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conformance changes for new interpolation variable
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appendix A changes for new interpolation variable
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appendix A changes for new interpolation variable
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lat lon tie point definition
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lat/lon tie point definition in appendix J (#18)
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terminology: interpolation variable and tie point variable
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Rename attribute tie_points to coordinate_interpolation (Change 2)
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Reword section Interpolation and Non-Interpolation Dimensions (Cahnge…
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Improve wording of bounds interpolation tie point selection (Change 18)
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Change cartesian to 3d cartesian (Change 27)
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Change cartesian to 3d cartesian (Change 27)
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Minor wording improvements arising from review
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Conformance for bounds tie points
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computational_precision conformance
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Correct references
erget Aug 3, 2021
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Move coordinate_interpolation to correct alphabetic position in table
AndersMS Aug 3, 2021
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Increase column width in Common Conversions and Formulas
AndersMS Aug 3, 2021
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Remove special character in cos() and sin()
AndersMS Aug 4, 2021
b10fb67
Clarify conditions for bounds interpolation
AndersMS Aug 10, 2021
1940954
Merge remote-tracking branch 'upstream/master' into lossy-compression…
erget Aug 24, 2021
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6 changes: 6 additions & 0 deletions appa.adoc
Original file line number Diff line number Diff line change
Expand Up @@ -309,6 +309,12 @@ formula in the definition.
| <<standard-name>>
| A standard name that references a description of a variable"s content in the standard name table.

| **`tie_points`**
| S
| D, Do
| <<compression-by-coordinate-sampling>>
| Indicates that coordinates have been compressed by sampling and identifies the tie point variables and their associated interpolation variables.

| **`title`**
| S
| G, Gr
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420 changes: 420 additions & 0 deletions appj.adoc

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2 changes: 2 additions & 0 deletions bibliography.adoc
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Expand Up @@ -14,6 +14,8 @@
- [[[FGDC]]] link:$$http://www.fgdc.gov/standards/projects/FGDC-standards-projects/metadata/base-metadata/v2_0698.pdf$$[Content Standard for Digital Geospatial Metadata] .
Federal Geographic Data Committee, FGDC-STD-001-1998
.

- [[[IEEE_754]]] link:$$https://ieeexplore.ieee.org/servlet/opac?punumber=8766227$$[IEEE Standard for Floating-Point Arithmetic], in __IEEE Std 754-2019 (Revision of IEEE 754-2008)__, vol., no., pp.1-84, 22 July 2019, doi: 10.1109/IEEESTD.2019.8766229.
- [[[NetCDF]]] link:$$http://www.unidata.ucar.edu/netcdf/index.html$$[ NetCDF Software Package] .
UNIDATA Program Center of the University Corporation for Atmospheric Research
.
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8 changes: 8 additions & 0 deletions cf-conventions.adoc
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Expand Up @@ -39,6 +39,11 @@ include::toc-extra.adoc[]
* David Hassell, NCAS and University of Reading
* Alan D. Snow, Corteva Agriscience
* Tobias Kölling, MPIM
* Aleksandar Jelenak, HDF Group
* Anders Meier Soerensen, EUMETSAT
* Lucile Gaultier, OceanDataLab
* Sylvain Herlédan, OceanDataLab


Many others have contributed to the development of CF through their participation in discussions about proposed changes.

Expand Down Expand Up @@ -106,6 +111,9 @@ include::apph.adoc[]
:numbered!:
include::appi.adoc[]

:numbered!:
include::appj.adoc[]

:numbered!:
include::history.adoc[]

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4 changes: 4 additions & 0 deletions ch01.adoc
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Expand Up @@ -76,6 +76,8 @@ It is a one-dimensional variable with the same name as its dimension [e.g., **`t

grid mapping variable:: A variable used as a container for attributes that define a specific grid mapping. The type of the variable is arbitrary since it contains no data.

interpolation variable:: A variable used as a container for attributes that define a specific interpolation method for uncompressing tie point variables. The type of the variable is arbitrary since it contains no data.

latitude dimension:: A dimension of a netCDF variable that has an associated latitude coordinate variable.

local apex group:: The nearest (to a referring group) ancestor group in which a dimension of an out-of-group coordinate is defined. The word "apex" refers to position of this group at the vertex of the tree of groups formed by it, the referring group, and the group where a coordinate is located.
Expand Down Expand Up @@ -103,6 +105,8 @@ sibling group:: Any group with the same parent group as the referring group

spatiotemporal dimension:: A dimension of a netCDF variable that is used to identify a location in time and/or space.

tie point variable:: A netCDF variable that contains coordinates that have been compressed by sampling. There is no relationship between the name of a tie point variable and the name(s) of its dimension(s).

time dimension:: A dimension of a netCDF variable that has an associated time coordinate variable.

vertical dimension:: A dimension of a netCDF variable that has an associated vertical coordinate variable.
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648 changes: 645 additions & 3 deletions ch08.adoc

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103 changes: 103 additions & 0 deletions conformance.adoc
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Expand Up @@ -681,4 +681,107 @@ in the file.
starting with 0 and going up to the product of the compressed dimension
sizes minus 1 (CDL index conventions).

[[compression-by-gathering]]
=== 8.2 Lossless Compression by Gathering

*Requirements:*

* The **`compress`** attribute may only be attached to a coordinate variable
with an integer data type.
* The type of the **`compress`** attribute is a string whose value is a blank
separated list of dimension names. The specified dimensions must exist
in the file.
* The values of the associated coordinate variable must be in the range
starting with 0 and going up to the product of the compressed dimension
sizes minus 1 (CDL index conventions).

[[compression-by-coordinate-sampling]]
=== 8.3 Lossy Compression by Coordinate Sampling

*Requirements:*

* When attached to a data variable, the type of the **`tie_points`**
attribute is a string whose value is a list of blank separated word
groups of the following form, in which brackets indicate optional
text: **`tie_point_variable: [tie_point_variable: ...]
interpolation_variable`**. Each **`tie_point_variable`** token
specifies a tie point variable that must exist in the file, and each
**`interpolation_variable`** token specifies an interpolation
variable that must exist in the file.

* An interpolation variable must have one of the string-valued
attributes **`interpolation_name`** or
**`interpolation_description`**, but not both. The legal values for
the **`interpolation_name`** attribute are contained in Appendix J.

* An interpolation variable must have a **`tie_point_dimensions`**
attribute that is a string whose value is a list of blank separated
word groups of the following form, in which brackets indicate
optional text: **`interpolation_dimension:
tie_point_interpolation_dimension [interpolation_zone_dimension]`**.
Each **`interpolation_dimension`** token specifies a unique
interpolation dimension of the parent data variable, each
**`tie_point_interpolation_dimension`** token specifies the tie
point interpolation dimension of a unique tie point index variable,
and each **`interpolation_zone_dimension`** token specifies a unique
interpolation zone dimension. The tie point interpolation dimensions
and interpolation zone dimensions must not be dimensions of the
parent data variable.

* The tie point variables associated with each
**`interpolation_variable`** token must all span the same dimensions,
which comprise a subset of zero or more dimensions of the parent
data variable with the addition of all of the tie point
interpolation dimensions identified by the **`tie_point_dimensions`**
attribute of the interpolation variable. A tie point variable must
not span both a tie point interpolation dimension and its
corresponding interpolation dimension, as defined by the
**`tie_point_dimensions`** mapping.

* An interpolation variable must have a **`tie_point_indices`**
attribute that is a string whose value is a list of blank separated
word pairs of the following form: **`interpolation_dimension:
tie_point_index_variable`**. The **`interpolation_dimension`**
tokens specify the same interpolation dimensions as the
**`tie_point_dimensions`** attribute, and each
**`tie_point_index_variable`** token specifies a tie point index
variable that must exist in the file.

* A tie point index variable must be a one-dimensional variable with
an integer data type.

* The dimension of a tie point index variable must be a tie point
interpolation dimension identified by the **`tie_point_dimensions`**
attribute.

* The values of a tie point index variable must be non-negative
integers. The first value must be zero, and each subsequent value
must be greater than or equal to the previous value. If a value
differs by zero or one from its previous value, then it must differ
by two or more from its subsequent value.

* The size of an interpolation zone dimension must be equal to the
size of the corresponding tie point interpolation dimension minus
the number of interpolation areas for that tie point interpolation
dimension. The number of interpolation areas is equal one plus the
number of occurences of adjacent values differing by zero or one in
the corresponding tie point index variable.

* When attached to an interpolation variable, the type of the
**`interpolation_parameters`** attribute is a string whose value is
list of blank separated word pairs in the form **`term: var`**. The
legal values **`term`** are contained in Appendix J for each valid
**`interpolation_name`**. The values of **`var`** must be
interpolation parameter variables that exist in the file.

* The dimensions of an interpolation parameter variable must be a
subset of zero or more of the dimensions of the corresponding tie
point variables, with the exception that a tie point interpolation
dimension may be replaced with its corresponding interpolation zone
dimension, as defined by the **`tie_point_dimensions`** mapping.

*Recommendations:*

* An interpolation variable should have 0 dimensions.


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[[revhistory, Revision History]]
== Revision History

.Pending
. Added <<compression-by-coordinate-sampling, Section 8.3, "Lossy Compression by Coordinate Sampling">>.
. Updated definitions in chapter 1 and Appendix A
. Added <<appendix-coordinate-sampling, Appendix J, "Coordinate Sampling">>.


.14 June 2004
. Added <<lambert-azimuthal-equal-area,the section called “Lambert azimuthal equal area”>>.
. <<polar-stereographic,the section called "Polar Stereographic">> : Added **`latitude_of_projection_origin`** map parameter.
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