= Introduction =

This page tries to inspect many of the different types of N-dimensional (spatiotemporal) gridded coverage topologies that could be stored in `rasdaman`, accompanying every case with GML Web Coverage Service (WCS) responses upon both trimming and slicing.

Despite some cases might rarely have a practical real-world example, here we want to give examples for as many allowed geometries as possible.

All responses will highlight the `domainSet` of each [http://schemas.opengis.net/gmlcov/1.0/coverage.xsd coverage], which will all translate to some [http://www.schemacentral.com/sc/niem21/e-gml32_Grid.html gml:Grid] rectified or referenceable subtype.
In case of mixed rectilinear/curvilinear geometries, a non-standard so-called `ReferenceableGridByArrayAndVectors` type ![1] will be used, for a more compact and convenient GML description.

Finally, we will assume that all the time series will be referenced by the daily-resolution (UoM=days ['''d''']) [http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date ANSI-Date] CRS along the temporal dimension, which (by default) has a '''`t`''' positive-onwards axis.

'''Abbreviations:'''
 * '''`GML`''' : Geographic Markup Language
 * '''`CRS`''' : Coordinate Reference System
 * '''`RTS`''' : Regular Time Series
 * '''`ITS`''' : Irregular Time Series
 * '''`MRTS`''' : Moving Regular Time Series
 * '''`MITS`''' : Moving Irregular Time Series

[[span(![1] P. Campalani, A. Beccati, and P. Baumann. Addressing verbosity in GML 3.3 !ReferenceableGrid geometries for practical use cases, 2013. ''Article submitted for conference proceedings''., style=color: Black; font-size: 80%)]]


= Topologies Index =

Due to the high number of possible cases, hereinafter we propose a first main table for global view.[[BR]]
Each cell then links to a dedicated subsection with the GML descriptions (assume default namespace is "`gml`").

[[span(In the 1D case, it is also clear how the gridded coverages can cover datasets which are not usually associated with the concept of ''grids'' (e.g. trajectories), style=color: Black; font-size: 80%)]]

|| '''ID''' || '''DIM''' || '''Description''' || '''Single object''' || '''RTS''' || '''ITS''' || '''MRTS''' || '''MITS''' ||
|| [#a1:1Dtemporalseriesofaspatialdata 1] || 1D || Temporal series of data with no spatial reference || [#a1 link ] || [#a1-RTS link ] || [#a1-ITS link ] || --- || --- ||
|| [#a2:1Dspatialobservationsonastraightline 2] || 1D || Point measurements (''with'' spatial reference) on a straight line ||
|||| [#a2a:...alongastraightline,paralleltoaCRSaxis 2a] || ... parallel to a CRS axis (2D space) || [#a2a link ] || [#a2a-RTS link ] || [#a2a-ITS link ] || [#a2a-MRTS link ] || [#a2a-MITS link ] ||
|||| [#a2b:...alongastraightdiagonalline,notparalleltoaCRSaxis 2b] || ... diagonal wrt CRS axes (in 2D space) || [#a2b link ] || [#a2b-RTS link ] || [#a2b-ITS link ] || [#a2b-MRTS link ] || [#a2b-MITS link ] ||
|||| [#2c:...alongastraightdiagonallineinthe3Dspace 2c] || ... diagonal wrt CRS axes (in 3D space) || [#a2c link ] || [#a2c-RTS link ] || [#a2c-ITS link ] || [#a2c-MRTS link ] || [#a2c-MITS link ] ||

== Examples ==

=== __1__ : 1D temporal series of aspatial data ===

This section covers time series of point observations with no spatial reference (or where the spatial reference was not considered relevant): in this case the only distinction is whether there is a regular time step between observations, or not. In its degenerate degenerate case, the series turns to a [#1a single point].

''(Attach a scan of the sketches here with all types in this subcategory?)''

===== 1 =====

|| '''GML coverage type''' || '''GML domainSet''' || '''native CRS''' ||  
|| `RectifiedCoverage`  || `RectifiedGrid` || http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date ||

  * WCS trimming: ''...subset=t("2013-01-01","2013-04-16")...''
{{{
#!xml
<domainSet>
  <RectifiedGrid dimension="2" uomLabels= srsDimension= srsName=>
    <limits>
      <GridEnvelope>
        <low>1 1</low>
        <high>4 4</high>
      </GridEnvelope>
    </limits>
    <axisLabels>u v</axisLabels>
    <origin>
      <Point id="ID" srsName="urn:x-ogc:def:crs:EPSG:6.6:4329">
        <pos>1.2 3.3 2.1</pos>
      </Point>
    </origin>
    <offsetVector srsName="urn:x-ogc:def:crs:EPSG:6.6:4329">1.1 2.2 3.3</offsetVector>
    <offsetVector srsName="urn:x-ogc:def:crs:EPSG:6.6:4329">2.0 1.0 0.0</offsetVector>
  </RectifiedGrid>
</domainSet>
}}}
  * Slice-S

===== 1-RTS =====

|| '''GML coverage type''' || '''GML domainSet''' || '''native CRS''' ||  
||!ReferenceableCoverage  ||!ReferenceableGridByVectors ||http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date ||

  * WCS trimming: ''...''
  * Slice-S
{{{
#!xml
<domainSet>
...
<\domainSet>
}}}
  * Slice-T
{{{
#!xml
<domainSet>
...
<\domainSet>
}}}

[#TopologiesIndex Up ]

===== 1-ITS =====

[#TopologiesIndex Up ]

=== __2__: 1D spatial observations on a straight line ===

==== 2a : ... along a straight line, parallel to a CRS axis ====

===== 2a =====

[#TopologiesIndex Up ]

===== 2a-RTS =====

[#TopologiesIndex Up ]

===== 2a-ITS =====

[#TopologiesIndex Up ]

===== 2a-MRTS =====

[#TopologiesIndex Up ]

===== 2a-MITS =====

[#TopologiesIndex Up ]


==== 2b : ... along a straight diagonal line, not parallel to a CRS axis ====



==== 2c : ... along a straight diagonal line in the 3D space ====