wiki:GridTopologies

Version 9 (modified by Piero Campalani, 11 years ago) ( diff )

partial update - case 2c

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 ​coverage, which will all translate to some ​gml:Grid rectified or referenceable subtype. We will assume that warped grid will be described via ReferenceableGridByArray, although an alternative description via origin, offset vectors and matrices of coefficients is also possible. 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. Coefficients in a ReferenceableGridByVector are also kept optional, to allow mixing of regularly and irregularly spaced axis in a same geometry (see again [1]).

When determining which CRS type should be bound to a certain coverage, the term SpatialCRS will mean any Earth or Planetary (or Image) related CRS, like VerticalCRS, GeographicCRS, ProjectedCRS, etc. See GML 3.2.1 (OGC 07-036) for more info on the available CRS types.

Finally, we will assume that all the time series will be referenced by the daily-resolution (UoM=days [d]) ​ANSI-Date CRS along the temporal dimension, which (by default) has a t positive-onwards axis. By default the composition order of spatiotemporal CRSs here is first space, then time; this however is not required at all.

NB. The axes labels expressed in the geometric domain of a coverage are the labels of the coverage axes, which here will be labelled as increasing numbers (0, 1, 2, ...), by default. Indeed, they are independent from the axes labels of its CRS, which are instead used in the WCS GetCoverage requests.

Abbreviations:

  • GML : Geographic Markup Language
  • CRS : Coordinate Reference System
  • SO : Single object
  • RTS : Regular Time Series
  • ITS : Irregular Time Series
  • MRTS : Moving Regular Time Series
  • MITS : Moving Irregular Time Series

[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.

Topologies Index

Due to the high number of possible cases, hereinafter we propose a first main table for global view which puts purely-spatial types of topology per row, which can then be repeated, or evolve, in time with or without regular time steps (columns).
Each cell then links to a dedicated subsection with the GML descriptions (assume default namespace is "gml").

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)

id description dim SO RTS ITS MRTS MITS
1 Temporal series of data with no spatial reference 1D —- link  link  —- —-
2 Point measurements (with spatial reference) on a straight line … 1D
2a … parallel to a CRS axis (2D space) " link  link  link  link  link 
2b … diagonal wrt CRS axes (in 2D space) " link  link  link  link  link 
2c … diagonal wrt CRS axes (in 3D space) " link  link  link  link  link 
2d … diagonal in 3D space with irregular spacing " link  link  link  link  link 
3 Point measurements (with spatial reference) on a curvilinear line … 1D
3a … in the 2D space " link  link  link  link  link 
3b … in the 3D space " link  link  link  link  link 
4 Gridded geo-image in the 2D space … 2D
4a … with regular spacing, aligned with CRS axes " link  link  link  link  link 
4b … with regular spacing, and rotation " link  link  link  link  link 
4c … with irregular spacing, and rotation " link  link  link  link  link 
4d … with curvilinear axes (warped grid) " link  link  link  link  link 
4e … warped grid, and 2 (real+simulation) time axes " link  link  link  link  link 
5 Gridded geo-image in the 3D space (oblique plane) … 2D
5a … with regular spacing " link  link  link  link  link 
5b … with irregular spacing " link  link  link  link  link 
5c … with curvilinear axes (warped grid) " link  link  link  link  link 
6 Gridded 3D geo-cubes … 3D
6a … with regular spacing " link  link  link  link  link 
6b … with regular XY spacing, but irregular heights " link  link  link  link  link 
6c … with irregular XYH spacing " link  link  link  link  link 
6d … with curvilinear axes (warped cube) " link  link  link  link  link 
6e … warped cube, and 2 (real+simulation) time axes " link  link  link  link  link 

Examples

Case 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 case, the series turns to a single point.

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

1-RTS
GML coverage type GML domainSet native CRS CRS dim
RectifiedGridCoverage RectifiedGrid !TemporalCRS 1D
  • WCS trimming: ...subset=t("2013-01-01","2013-04-16")... 
    <domainSet>
  <RectifiedGrid id="1-RTS_t" dimension="1" uomLabels="d" srsDimension="1" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>4</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>150501</pos><!-- ANSI date for 2013-01-21 -->
      </Point>
    </origin>
    <offsetVector>1</offsetVector><!-- daily data -->
  </RectifiedGrid>
</domainSet>
  • WCS slicing: ...subset=t("2013-01-21")... 
    <domainSet>
  <!-- 0D geometry: slicing removes one dimension -->
  <RectifiedGrid id="1-RTS_s" dimension="0">
    <limits>
      <GridEnvelope>
        <low></low>
        <high></high>
      </GridEnvelope>
    </limits>
    <axisLabels></axisLabels>
    <origin>
      <Point id="O">
        <pos></pos>
      </Point>
    </origin>
    <offsetVector></offsetVector>
  </RectifiedGrid>
</domainSet>

Up 

1-ITS
GML coverage type GML domainSet native CRS CRS dim
ReferenceableGridCoverage ReferenceableGridByVectors TemporalCRS 1D
  • WCS trimming: ...subset=t("2013-01-01","2013-04-16")... 
    <domainSet>
  <ReferenceableGridByVectors id="1-ITS_t" dimension="1" uomLabels="d" srsDimension="1" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>4</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>150501</pos>
      </Point>
    </origin>
    <generalGridAxis>
      <GeneralGridAxis>
        <offsetVector>1</offsetVector>
        <coefficients>0 1 3 6 7</coefficients>
        <gridAxesSpanned>0</gridAxesSpanned>
        <sequenceRule axisOrder="+1">Linear</sequenceRule>
      </GeneralGridAxis>
    </generalGridAxis>
  </ReferenceableGridByVectors>
</domainSet>
  • WCS slicing: ...subset=t("2013-01-21")... 
    <domainSet>
  <!-- 0D geometry: slicing removes one dimension -->
  <ReferenceableGridByVectors id="1-ITS_s" dimension="0">
    <limits>
      <GridEnvelope>
        <low></low>
        <high></high>
      </GridEnvelope>
    </limits>
    <axisLabels></axisLabels>
    <origin>
      <Point id="O">
        <pos></pos>
      </Point>
    </origin>
    <generalGridAxis>
      <GeneralGridAxis>
        <offsetVector></offsetVector>
        <coefficients></coefficients>
        <gridAxesSpanned></gridAxesSpanned>
        <sequenceRule></sequenceRule>
      </GeneralGridAxis>
    </generalGridAxis>
  </ReferenceableGridByVectors>
</domainSet>

Up 

Case 2

1D SPATIAL OBSERVATIONS ON A STRAIGHT LINE …

This section covers (time series of) point observations with spatial reference. In particular here we have a measurements which lie along a straight (and not curvilinear) line. Several sub-cases are covered, depending on the regular/irregular spacing between the points, the alignment of this line to one of the axes of the CRS, and the dimensionality of the encompassing space (i.e. the dimensionality of the CRS).

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

Case 2a

… parallel to a CRS axis.

2a-SO
GML coverage type GML domainSet native CRS CRS dim
RectifiedGridCoverage RectifiedGrid !SpatialCRS 1D/2D
  • WCS trimming: ...subset=D(0,100)... 
    <domainSet>
  <RectifiedGrid id="2a-SO_t" dimension="1" uomLabels="metre" srsDimension="1"
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/5715">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>4</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>25</pos>
      </Point>
    </origin>
    <offsetVector>20</offsetVector>
  </RectifiedGrid>
</domainSet>
  • WCS slicing: ...subset=D(25)... 
    <domainSet>
  <!-- 0D geometry: slicing removes one dimension -->
  <RectifiedGrid id="2a-SO_s" dimension="0">
    <limits>
      <GridEnvelope>
        <low></low>
        <high></high>
      </GridEnvelope>
    </limits>
    <axisLabels></axisLabels>
    <origin>
      <Point id="O">
        <pos></pos>
      </Point>
    </origin>
    <offsetVector></offsetVector>
  </RectifiedGrid>
</domainSet>

Up 

2a-RTS
GML coverage type GML domainSet native CRS CRS dim
RectifiedGridCoverage RectifiedGrid !SpatialCRS+TemporalCRS 2D/3D
  • WCS trimming: ...subset=D(0,100),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <RectifiedGrid id="2a-RTS_t" dimension="2" uomLabels="metre d" srsDimension="2" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs-compound?
              1=http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/5715&
              2=http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0 0</low>
        <high>4 3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0 1</axisLabels>
    <origin>
      <Point id="O">
        <pos>25 150486</pos>
      </Point>
    </origin>
    <offsetVector>20 7</offsetVector>
  </RectifiedGrid>
</domainSet>
  • WCS slicing: ...subset=D(0,100),subset=t("2013-01-31")... 
    <domainSet>
  <RectifiedGrid id="2a-RTS_s" dimension="1" uomLabels="metre" srsDimension="1" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/5715">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>4</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>25</pos>
      </Point>
    </origin>
    <offsetVector>20</offsetVector>
  </RectifiedGrid>
</domainSet>

Up 

2a-ITS
GML coverage type GML domainSet native CRS CRS dim
ReferenceableGridCoverage ReferenceableGridByVectors !SpatialCRS+TemporalCRS 2D/3D
  • WCS trimming: ...subset=D(0,100),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <ReferenceableGridByVectors id="2a-ITS_t" dimension="2" uomLabels="metre d" srsDimension="2" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs-compound?
              1=http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/5715&
              2=http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0 0</low>
        <high>4 3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0 1</axisLabels>
    <origin>
      <Point id="O">
        <pos>25 150486</pos>
      </Point>
    </origin>
    <generalGridAxis>
      <GeneralGridAxis>
        <!-- Regular axis in ReferenceableGrid: no coefficients (not official GML) -->
        <offsetVector>10</offsetVector>
        <gridAxesSpanned>0</gridAxesSpanned>
      </GeneralGridAxis>
    </generalGridAxis>
    <generalGridAxis>
      <GeneralGridAxis>
        <!-- Irregular spacing in time -->
        <offsetVector>10</offsetVector>
        <coefficients>0 1 3 6</coefficients>
        <gridAxesSpanned>1</gridAxesSpanned>
        <sequenceRule axisOrder="+1">Linear</sequenceRule>
      </GeneralGridAxis>
    </generalGridAxis>
  </ReferenceableGridByVectors>
</domainSet>
  • WCS slicing: ...subset=D(0,100),subset=t("2013-01-31")... 
    <domainSet>
  <RectifiedGrid id="2a-MRTS_s" dimension="1" uomLabels="metre" srsDimension="1" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/5715">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>25</pos>
      </Point>
    </origin>
    <offsetVector>10</offsetVector>
  </RectifiedGrid>
</domainSet>

Up 

2a-MRTS
GML coverage type GML domainSet native CRS CRS dim
ReferenceableGridCoverage ReferenceableGridByArrayAndVectors !SpatialCRS+TemporalCRS 2D/3D
  • WCS trimming: ...subset=D(0,100),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>                                                                                                                                                  
  <ReferenceableGridByArrayAndVectors gml:id="2a-MRTS_s" dimension="2" uomLabels="metre d" srsDimension="2"
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs-compound?
              1=http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/5715&
              2=http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0 0</low>
        <high>2 3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0 1</axisLabels>
    <!-- The moving series is shifting along the vertical CRS, but it has fixed spacing: -->
    <!-- there is hence a pattern in time (described in the posList) that acts as origin -->
    <!-- which is repeated for every observation along the vertical axis.                -->
    <posList>
      20 150480   23 15085   19 150490   18 150495
    </posList>
    <gmlrgrid:gridAxesSpanned>1</gmlrgrid:gridAxesSpanned>
    <sequenceRuleaxisOrder="+1">Linear</sequenceRule>
    <gmlrgrid:generalGridAxis>
      <gmlrgrid:GeneralGridAxis>
        <offsetVector>25</offsetVector>
        <coefficients>0 1 3</coefficients>
        <gmlrgrid:gridAxesSpanned>0</gmlrgrid:gridAxesSpanned>
        <sequenceRuleaxisOrder="+1">Linear</sequenceRule>
      </gmlrgrid:GeneralGridAxis>
    </gmlrgrid:generalGridAxis>
  </ReferenceableGridByArray>
<\domainSet>
  • WCS slicing (S): ...subset=D(25),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <RectifiedGrid id="2a-MRTS_s" dimension="1" uomLabels="d" srsDimension="1" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>1</axisLabels>
    <origin>
      <Point id="O">
        <pos>150480</pos>
      </Point>
    </origin>
    <offsetVector>10</offsetVector>
  </RectifiedGrid>
</domainSet>
  • WCS slicing (T): ...subset=D(0,100),subset=t("2013-01-31")... See 2a-SO.

Up 

2a-MITS
GML coverage type GML domainSet native CRS CRS dim
ReferenceableGridCoverage ReferenceableGridByArrayAndVectors !SpatialCRS+TemporalCRS 2D/3D
  • WCS trimming: ...subset=D(0,100),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>                                                                                                                                                  
  <ReferenceableGridByArrayAndVectors gml:id="2a-MITS_s" dimension="2" uomLabels="metre d" srsDimension="2"
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs-compound?
              1=http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/5715&
              2=http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0 0</low>
        <high>2 3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0 1</axisLabels>
    <posList>
      20 150480   23 15086   19 150489   18 150491
    </posList>
    <gmlrgrid:gridAxesSpanned>1</gmlrgrid:gridAxesSpanned>
    <sequenceRuleaxisOrder="+1">Linear</sequenceRule>
    <gmlrgrid:generalGridAxis>
      <gmlrgrid:GeneralGridAxis>
        <offsetVector>25</offsetVector>
        <coefficients>0 1 3</coefficients>
        <gmlrgrid:gridAxesSpanned>0</gmlrgrid:gridAxesSpanned>
        <sequenceRuleaxisOrder="+1">Linear</sequenceRule>
      </gmlrgrid:GeneralGridAxis>
    </gmlrgrid:generalGridAxis>
  </ReferenceableGridByArray>
<\domainSet>
  • WCS slicing (S): ...subset=D(25),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <ReferenceableGridByVectors id="2a-MITS_st" dimension="1" uomLabels="d" srsDimension="1" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>1</axisLabels>
    <origin>
      <Point id="O">
        <pos>150486</pos>
      </Point>
    </origin>
    <generalGridAxis>
      <GeneralGridAxis>
        <!-- Irregular spacing in time -->
        <offsetVector>10</offsetVector>
        <coefficients>0 1 3 6</coefficients>
        <gridAxesSpanned>1</gridAxesSpanned>
        <sequenceRule axisOrder="+1">Linear</sequenceRule>
      </GeneralGridAxis>
    </generalGridAxis>
  </ReferenceableGridByVectors>
</domainSet>
  • WCS slicing (T): ...subset=D(0,100),subset=t("2013-01-31")... See 2a-SO.

Up 

Case 2b

… diagonal line, not parallel to a CRS axis.

2b-SO
GML coverage type GML domainSet native CRS CRS dim
RectifiedGridCoverage RectifiedGrid !SpatialCRS 2D
  • WCS trimming: ...subset=E(167000,170000),subset=N(4320000,4420000),... 
    <domainSet>
  <RectifiedGrid id="2b-SO-t" dimension="1" uomLabels="metre metre" srsDimension="2" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/32633">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>2</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>167000 4320000</pos>
      </Point>
    </origin>
    <offsetVector>1000 1500</offsetVector>
  </RectifiedGrid>
</domainSet>
  • WCS slicing: ...subset=E(167000,170000),subset=N(4320000),... 
    <domainSet>
  <RectifiedGrid id="2b-SO_s" dimension="1" uomLabels="metre metre" srsDimension="2" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/32633">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>0</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>167000 4320000</pos>
      </Point>
    </origin>
    <offsetVector>1000 1500</offsetVector>
  </RectifiedGrid>
</domainSet>

Up 

2b-RTS
GML coverage type GML domainSet native CRS CRS dim
RectifiedGridCoverage RectifiedGrid !SpatialCRS+TemporalCRS 3D
  • WCS trimming: ...subset=E(167000,170000),subset=N(4320000,4420000),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <RectifiedGrid id="2b-SO-t" dimension="2" uomLabels="metre metre d" srsDimension="3" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs-compound?
              1=http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/32633&
              2=http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0 0</low>
        <high>2 3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0 1</axisLabels>
    <origin>
      <Point id="O">
        <pos>167000 4320000 150486</pos>
      </Point>
    </origin>
    <offsetVector>1000 1500 10</offsetVector>
  </RectifiedGrid>
</domainSet>
  • WCS slicing (S): ...subset=E(167000),subset=N(4320000),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <RectifiedGrid id="2b-SO_s" dimension="1" uomLabels="d" srsDimension="1" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>150486</pos>
      </Point>
    </origin>
    <offsetVector>10</offsetVector>
  </RectifiedGrid>
</domainSet>
  • WCS slicing (T): ...subset=E(167000,170000),subset=N(4320000,4420000),subset=t("2013-01-06")... See 2b-SO.

Up 

2b-ITS
GML coverage type GML domainSet native CRS CRS dim
ReferenceableGridCoverage ReferenceableGridByVectors !SpatialCRS+TemporalCRS 3D
  • WCS trimming: ...subset=E(167000,170000),subset=N(4320000,4420000),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <ReferenceableGridByVectors id="2b-ITS_t" dimension="2" uomLabels="metre metre d" srsDimension="3" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs-compound?
              1=http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/32633&
              2=http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0 0</low>
        <high>2 3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0 1</axisLabels>
    <origin>
      <Point id="O">
        <pos>167000 4320000 150486</pos>
      </Point>
    </origin>
    <generalGridAxis>
      <GeneralGridAxis>
        <!-- Regular spacing in the geo-space -->
        <offsetVector>1000 1500 0</offsetVector>
        <gridAxesSpanned>0</gridAxesSpanned>
      </GeneralGridAxis>
    </generalGridAxis>
    <generalGridAxis>
      <GeneralGridAxis>
        <!-- Irregular spacing in time -->
        <offsetVector>5</offsetVector>
        <coefficients>0 1 3 6</coefficients>
        <gridAxesSpanned>1</gridAxesSpanned>
        <sequenceRule axisOrder="+1">Linear</sequenceRule>
      </GeneralGridAxis>
    </generalGridAxis>
  </ReferenceableGridByVectors>
</domainSet>
  • WCS slicing (S): ...subset=E(167000),subset=N(4320000),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <ReferenceableGridByVectors id="2b-ITS_s" dimension="1" uomLabels="d" srsDimension="1" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>1</axisLabels>
    <origin>
      <Point id="O">
        <pos>150486</pos>
      </Point>
    </origin>
      <GeneralGridAxis>
        <offsetVector>5</offsetVector>
        <coefficients>0 1 3 6</coefficients>
        <gridAxesSpanned>1</gridAxesSpanned>
        <sequenceRule axisOrder="+1">Linear</sequenceRule>
      </GeneralGridAxis>
    </generalGridAxis>
  </ReferenceableGridByVectors>
</domainSet>
  • WCS slicing (T): ...subset=E(167000,170000),subset=N(4320000,4420000),subset=t("2013-01-06")... See 2b-SO.

Up 

2b-MRTS

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2b-MITS

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Case 2c

… diagonal line in the 3D geo-space.

2c-SO
GML coverage type GML domainSet native CRS CRS dim
RectifiedGridCoverage RectifiedGrid !SpatialCRS 3D
  • WCS trimming: ...subset=Lat(40,41),subset=Long(9,10),subset=h(200,300)... 
    <domainSet>
  <RectifiedGrid id="2c-SO-t" dimension="1" uomLabels="DMSH DMSH metre" srsDimension="3" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/4327">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>2</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>40 9 200</pos>
      </Point>
    </origin>
    <offsetVector>0.05 0.05 50</offsetVector>
  </RectifiedGrid>
</domainSet>
  • WCS slicing: ...subset=Lat(40,41),subset=Long(9,10),subset=h(200)... 
    <domainSet>
  <RectifiedGrid id="2c-SO-s" dimension="1" uomLabels="DMSH DMSH metre" srsDimension="3" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/4327">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>0</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>40 9 200</pos>
      </Point>
    </origin>
    <offsetVector>0.05 0.05 50</offsetVector>
  </RectifiedGrid>
</domainSet>

Up 

2c-RTS
GML coverage type GML domainSet native CRS CRS dim
RectifiedGridCoverage RectifiedGrid !SpatialCRS+TemporalCRS 4D
  • WCS trimming: ...subset=Lat(40,41),subset=Long(9,10),subset=h(200,300),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <RectifiedGrid id="2c-RTS-t" dimension="2" uomLabels="DMSH DMSH metre d" srsDimension="4" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs-compound?
              1=http://kahlua.eecs.jacobs-university.de:8080/def/crs/EPSG/0/4327&
              2=http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0 0</low>
        <high>2 3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0 1</axisLabels>
    <origin>
      <Point id="O">
        <pos>40 9 200 150486</pos>
      </Point>
    </origin>
    <offsetVector>0.05 0.05 50 7</offsetVector>
  </RectifiedGrid>
</domainSet>
  • WCS slicing (S): ...subset=Lat(40),subset=Long(9),subset=h(200),subset=t("2013-01-01","2013-01-31")... 
    <domainSet>
  <RectifiedGrid id="2c-SO-s" dimension="1" uomLabels="d" srsDimension="1" 
   srsName="http://kahlua.eecs.jacobs-university.de:8080/def/crs/OGC/0.1/ANSI-Date">
    <limits>
      <GridEnvelope>
        <low>0</low>
        <high>3</high>
      </GridEnvelope>
    </limits>
    <axisLabels>0</axisLabels>
    <origin>
      <Point id="O">
        <pos>150486</pos>
      </Point>
    </origin>
    <offsetVector>7</offsetVector>
  </RectifiedGrid>
</domainSet>
  • WCS slicing (T): ...subset=E(167000,170000),subset=N(4320000,4420000),subset=t("2013-01-06")... See 2c-SO.

Up 

2c-ITS

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2c-MRTS

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2c-MITS

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Case 2d

… along a diagonal line in the 3D geo-space with irregular spacing.

2d-SO

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2d-RTS

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2d-ITS

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2d-MRTS

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2d-MITS

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Case 3

1D SPATIAL OBSERVATIONS ON A CURVILINEAR LINE …

This section covers (time series of) point observations with spatial reference. In particular here we have a measurements which lie along a curvilinear (and not straight) line. In this case, the only interesting distinction regards the dimensionality of the space (CRS) into which the points span.

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

Case 3a

… in the 2D geo-space.

3a-SO

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3a-RTS

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3a-ITS

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3a-MRTS

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3a-MITS

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Case 3b

… in the 3D geo-space.

3b-SO

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3b-RTS

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3b-ITS

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3b-MRTS

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3b-MITS

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Case 4

2D GRIDDED GEO-IMAGE IN THE 2D SPACE …

This section covers (time series of) 2D geo-images which only span a 2-dimensional space (CRS). They can have different geometric layouts, depending on the regularity of the retained grid shape, going from a simple aligned grid with regular pixel size, to a completely warped grid like for instance would be applied to a raw unrectified spaceborne/airborne image.

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

Case 4a

… with regular spacing, aligned with CRS axes.

4a-SO

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4a-RTS

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4a-ITS

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4a-MRTS

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4a-MITS

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Case 4b

… with regular spacing, and rotation.

4b-SO

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4b-RTS

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4b-ITS

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4b-MRTS

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4b-MITS

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Case 4c

… with irregular spacing, and rotation.

4c-SO

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4c-RTS

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4c-ITS

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4c-MRTS

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4c-MITS

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Case 4d

… with curvilinear axes (warped grid).

4d-SO

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4d-RTS

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4d-ITS

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4d-MRTS

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4d-MITS

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Case 4e

… warped grid, and 2 (real+simulation) time axes

4e-SO

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4e-RTS

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4e-ITS

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4e-MRTS

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4e-MITS

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Case 5

2D GRIDDED GEO-IMAGE IN THE 3D SPACE (oblique plane) …

This section covers (time series of) 2D geo-images which transversely span a 3-dimensional space (CRS). They can have different geometric layouts, depending on the regularity of the retained grid shape, going from a simple aligned grid with regular pixel size, to a gridded curvilinear surface/drape.

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

Case 5a

… with regular spacing.

5a-SO

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5a-RTS

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5a-ITS

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5a-MRTS

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5a-MITS

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Case 5b

… with irregular spacing.

5b-SO

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5b-RTS

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5b-ITS

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5b-MRTS

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5b-MITS

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Case 5c

… with curvilinear axes (warped grid).

5c-SO

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5c-RTS

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5c-ITS

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5c-MRTS

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5c-MITS

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Case 6

3D GRIDDED GEO-CUBE …

This section covers (time series of) 3D geo-cubes. They can have different geometric layouts, depending on the regularity of the retained gridded shape, going from a simple aligned cube with regular voxel size, to a completely warped cube with curvilinear axes.

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

Case 6a

… with regular spacing.

6a-SO

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6a-RTS

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6a-ITS

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6a-MRTS

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6a-MITS

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Case 6b

… with regular XY spacing, but irregular heights.

6b-SO

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6b-RTS

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6b-ITS

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6b-MRTS

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6b-MITS

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Case 6c

… with irregular XYH spacing.

6c-SO

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6c-RTS

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6c-ITS

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6c-MRTS

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6c-MITS

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Case 6d

… with curvilinear axes (warped cube).

6d-SO

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6d-RTS

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6d-ITS

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6d-MRTS

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6d-MITS

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Case 6e

… warped cube, and 2 (real+simulation) time axes.

6e-SO

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6e-RTS

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6e-ITS

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6e-MRTS

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6e-MITS

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