EPSG:9666

P6 (I = J+90°) seismic bin grid transformation

Attributes

Data source: OGP

Information source: UKOOA Data Exchange Format P6/98, Definition of 3D Seismic Binning Grids, revision 3, May 2000, and OGP P6/11 seismic bin grid data exchange format user guide, July 2012.

Revision date: 2014-07-28

Remarks: Use only when the bin grid I-axis is rotated 90° clockwise from the J-axis when viewed from above the plane containing the two axes (CS code 1033). If the I-axis is rotated 90° counter-clockwise from the J-axis, method 1049 should be used.

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<div class="syntax"><pre><span class="cp">&lt;?xml version=&quot;1.0&quot; encoding=&quot;UTF-8&quot;?&gt;</span> <span class="nt">&lt;gml:OperationMethod</span> <span class="na">xmlns:epsg=</span><span class="s">&quot;urn:x-ogp:spec:schema-xsd:EPSG:1.0:dataset&quot;</span> <span class="na">xmlns:gml=</span><span class="s">&quot;http://www.opengis.net/gml/3.2&quot;</span> <span class="na">xmlns:xlink=</span><span class="s">&quot;http://www.w3.org/1999/xlink&quot;</span> <span class="na">gml:id=</span><span class="s">&quot;ogp-method-9666&quot;</span><span class="nt">&gt;</span> <span class="nt">&lt;gml:metaDataProperty&gt;</span> <span class="nt">&lt;epsg:CommonMetaData&gt;</span> <span class="nt">&lt;epsg:informationSource&gt;</span>UKOOA Data Exchange Format P6/98, Definition of 3D Seismic Binning Grids, revision 3, May 2000, and OGP P6/11 seismic bin grid data exchange format user guide, July 2012.<span class="nt">&lt;/epsg:informationSource&gt;</span> <span class="nt">&lt;epsg:revisionDate&gt;</span>2014-07-28<span class="nt">&lt;/epsg:revisionDate&gt;</span> <span class="nt">&lt;epsg:changes&gt;</span> <span class="nt">&lt;epsg:changeID</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:change-request:EPSG::2011.106&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:changeID</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:change-request:EPSG::2014.044&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;/epsg:changes&gt;</span> <span class="nt">&lt;epsg:show&gt;</span>true<span class="nt">&lt;/epsg:show&gt;</span> <span class="nt">&lt;epsg:isDeprecated&gt;</span>false<span class="nt">&lt;/epsg:isDeprecated&gt;</span> <span class="nt">&lt;/epsg:CommonMetaData&gt;</span> <span class="nt">&lt;/gml:metaDataProperty&gt;</span> <span class="nt">&lt;gml:metaDataProperty&gt;</span> <span class="nt">&lt;epsg:CoordinateOperationMethodMetaData&gt;</span> <span class="nt">&lt;epsg:isOperationReversible&gt;</span>true<span class="nt">&lt;/epsg:isOperationReversible&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8733&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8734&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8735&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8736&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8737&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8738&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8739&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8740&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8741&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:signReversal</span> <span class="na">changeSign=</span><span class="s">&quot;false&quot;</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8742&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;epsg:example&gt;</span>This example is given in the P6/98 document. The bin grid is based on projected CRS WGS 84 / UTM Zone 31N. The origin of the bin grid is defined to be at msp grid easting = 456781.0mE, northing = 5836723.0mN. The map grid point scale factor at this point is 0.99984. The bin width on the I-axis (XS axis) is 25 metres, whilst the bin width on the J-axis (YS axis) is 12.5 metres. At its origin the bin grid has bin values of 1,1. In the map grid, the bearing of the bin grid I and J axes are 110° and 20° respectively. The latter is one of the transformation parameters. The transformation parameter values are: Bin grid origin I: 1 bin Bin grid origin J: 1 bin Bin grid origin Easting: 456781.00 m Bin grid origin Northing: 5836723.00 m Scale factor of bin grid: 0.99984 Bin Width on I-axis: 25 m Bin Width on J-axis: 12.5 m Map grid bearing of bin grid J-axis: 20° Bin node increment on I-axis: 1 Bin node increment on J-axis: 1 Calculation of map grid coordinates for centre of bin with coordinates: I = 300, J = 247: Easting = XT = XTO + [(XS – XSO) * cos q * k * MX / IncSX] + [(YS – YSO) * sin q * k * MY / IncSY] = 456781.000 + 7023.078 + 1051.544 = 464855.62 m. Northing = YT = YTO – [(XS – XSO) * sin q * k * MX / IncSX] + [(YS – YSO) * cos q * k * MY / IncSY] = 5836723.000 - 2556.192 + 2889.092 = 5837055.90 m. Calculation of bin grid coordinates for this point, map grid location 464 855.62mE, 5 837 055.90mN: Bin grid I = XS = {[( XT – XTO) * cos q – (YT – YTO) * sin q ] * [IncSX / (k * MX)]} + XSO = 300 bins, Bin grid J = YS = {[(XT – XTO) * sin q + (YT – YTO) * cos q] * [IncSY / (k * MY)]} + YSO = 247 bins<span class="nt">&lt;/epsg:example&gt;</span> <span class="nt">&lt;/epsg:CoordinateOperationMethodMetaData&gt;</span> <span class="nt">&lt;/gml:metaDataProperty&gt;</span> <span class="nt">&lt;gml:identifier</span> <span class="na">codeSpace=</span><span class="s">&quot;OGP&quot;</span><span class="nt">&gt;</span>urn:ogc:def:method:EPSG::9666<span class="nt">&lt;/gml:identifier&gt;</span> <span class="nt">&lt;gml:name&gt;</span>P6 (I = J+90°) seismic bin grid transformation<span class="nt">&lt;/gml:name&gt;</span> <span class="nt">&lt;gml:remarks&gt;</span>Use only when the bin grid I-axis is rotated 90° clockwise from the J-axis when viewed from above the plane containing the two axes (CS code 1033). If the I-axis is rotated 90° counter-clockwise from the J-axis, method 1049 should be used.<span class="nt">&lt;/gml:remarks&gt;</span> <span class="nt">&lt;gml:formula&gt;</span>Note: These formulas have been transcribed from EPSG Guidance Note #7-2. Users are encouraged to use that document rather than the text which follows as reference because limitations in the transcription will be avoided. The P6 (I = J+90°) seismic bin grid transformation is a special case of the Affine Geometric Transformation (method code 9623). In practice bin grid definitions are based on an identified map grid. As such the example bin grids in the EPSG Dataset are described with the map grid (projected CRS) as source CRS. However to retain consistency with the syntax used in the description of the affine geometric transformation, in the formulas below the bin grid is the affine source CRS and the map grid is the affine target CRS. Map grid Easting = XT = XT0 + XS . k . dSX . cos q + YS . k . dSY . sin q Map grid Northing = YT = YT0 – XS . k . dSX . sin q + YS . k . dSY . cos q Bin grid I = XS = {[( XT – XTO) * cos q – (YT – YTO) * sin q ] * [IncSX / (k * MX)]} + XSO Bin grid J = YS = {[(XT – XTO) * sin q + (YT – YTO) * cos q] * [IncSY / (k * MY)]} + YSO where: XT0 ,YT0 = the map grid coordinates (easting, northing) of the origin point of the bin grid; dSX , dSY = the length of one unit of the bin grid, expressed in units of map grid, for the bin grid I and J axes respectively; k = point scale factor of the map grid at a chosen reference point; q = the angle through which the bin grid axes must be rotated to coincide with the map grid axes (counter-clockwise is positive). Alternatively, the bearing (clockwise positive) of the bin grid J-axis measured relative to map grid north.<span class="nt">&lt;/gml:formula&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8733&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8734&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8735&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8736&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8737&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8738&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8739&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8740&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8741&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;gml:generalOperationParameter</span> <span class="na">xlink:href=</span><span class="s">&quot;urn:ogc:def:parameter:EPSG::8742&quot;</span> <span class="nt">/&gt;</span> <span class="nt">&lt;/gml:OperationMethod&gt;</span> </pre></div>
<?xml version="1.0" encoding="UTF-8"?>
 <gml:OperationMethod xmlns:epsg="urn:x-ogp:spec:schema-xsd:EPSG:1.0:dataset" xmlns:gml="http://www.opengis.net/gml/3.2" xmlns:xlink="http://www.w3.org/1999/xlink" gml:id="ogp-method-9666">
   <gml:metaDataProperty>
      <epsg:CommonMetaData>
         <epsg:informationSource>UKOOA Data Exchange Format P6/98, Definition of 3D Seismic Binning Grids, revision 3, May 2000, and OGP P6/11 seismic bin grid data exchange format user guide, July 2012.</epsg:informationSource>
         <epsg:revisionDate>2014-07-28</epsg:revisionDate>
         <epsg:changes>
            <epsg:changeID xlink:href="urn:ogc:def:change-request:EPSG::2011.106" />
            <epsg:changeID xlink:href="urn:ogc:def:change-request:EPSG::2014.044" />
         </epsg:changes>
         <epsg:show>true</epsg:show>
         <epsg:isDeprecated>false</epsg:isDeprecated>
      </epsg:CommonMetaData>
   </gml:metaDataProperty>
   <gml:metaDataProperty>
      <epsg:CoordinateOperationMethodMetaData>
         <epsg:isOperationReversible>true</epsg:isOperationReversible>
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8733" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8734" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8735" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8736" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8737" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8738" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8739" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8740" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8741" />
         <epsg:signReversal changeSign="false" xlink:href="urn:ogc:def:parameter:EPSG::8742" />
         <epsg:example>This example is given in the P6/98 document. The bin grid is based on projected CRS WGS 84 / UTM Zone 31N. The origin of the bin grid is defined to be at msp grid easting = 456781.0mE, northing = 5836723.0mN.  The map grid point scale factor at this point is 0.99984.

The bin width on the I-axis (XS axis) is 25 metres, whilst the bin width on the J-axis (YS axis) is 12.5 metres. At its origin the bin grid has bin values of 1,1.

In the map grid, the bearing of the bin grid I and J axes are 110° and 20° respectively. The latter is one of the transformation parameters.

The transformation parameter values are:

Bin grid origin I:                   1 bin
Bin grid origin J:                   1 bin
Bin grid origin Easting:             456781.00 m
Bin grid origin Northing:            5836723.00 m
Scale factor of bin grid:            0.99984
Bin Width on I-axis:                 25 m
Bin Width on J-axis:                 12.5 m
Map grid bearing of bin grid J-axis: 20°
Bin node increment on I-axis:        1
Bin node increment on J-axis:        1


Calculation of map grid coordinates for centre of bin with coordinates: I = 300, J = 247:
Easting = XT   = XTO   +   [(XS – XSO) * cos q * k * MX / IncSX]  +  [(YS – YSO) * sin q * k * MY / IncSY]
= 456781.000 + 7023.078 + 1051.544 
= 464855.62 m.

Northing = YT = YTO   –   [(XS – XSO) * sin q * k * MX / IncSX]   +  [(YS – YSO) * cos q * k * MY / IncSY]
= 5836723.000 - 2556.192 + 2889.092
= 5837055.90 m.

Calculation of bin grid coordinates for this point, map grid location 464 855.62mE, 5 837 055.90mN:
Bin grid I = XS = {[( XT  – XTO) * cos q  –  (YT – YTO) * sin q ] * [IncSX  / (k * MX)]} + XSO 
= 300 bins, 

Bin grid J = YS = {[(XT   – XTO) * sin q   +  (YT – YTO) * cos q] * [IncSY  / (k * MY)]} + YSO 
= 247 bins</epsg:example>
      </epsg:CoordinateOperationMethodMetaData>
   </gml:metaDataProperty>
   <gml:identifier codeSpace="OGP">urn:ogc:def:method:EPSG::9666</gml:identifier>
   <gml:name>P6 (I = J+90°) seismic bin grid transformation</gml:name>
   <gml:remarks>Use only when the bin grid I-axis is rotated 90° clockwise from the J-axis when viewed from above the plane containing the two axes (CS code 1033). If the I-axis is rotated 90° counter-clockwise from the J-axis, method 1049 should be used.</gml:remarks>
   <gml:formula>Note: These formulas have been transcribed from EPSG Guidance Note #7-2. Users are encouraged to use that document rather than the text which follows as reference because limitations in the transcription will be avoided.

The P6 (I = J+90°) seismic bin grid transformation is a special case of the Affine Geometric Transformation (method code 9623). In practice bin grid definitions are based on an identified map grid. As such the example bin grids in the EPSG Dataset are described with the map grid (projected CRS) as source CRS. However to retain consistency with the syntax used in the description of the affine geometric transformation, in the formulas below the bin grid is the affine source CRS and the map grid is the affine target CRS.

Map grid Easting = XT = XT0   +   XS .  k . dSX . cos q   +   YS .  k .  dSY  . sin q

Map grid Northing = YT = YT0   –   XS .  k .  dSX . sin q    +   YS .  k .  dSY  . cos q

Bin grid I = XS = {[( XT  – XTO) * cos q  –  (YT – YTO) * sin q ] * [IncSX  / (k * MX)]} + XSO

Bin grid J = YS = {[(XT   – XTO) * sin q   +  (YT – YTO) * cos q] * [IncSY  / (k * MY)]} + YSO 

where:

XT0 ,YT0  = the map grid coordinates (easting, northing) of the origin point of the bin grid;
dSX , dSY  = the length of one unit of the bin grid, expressed in units of map grid, for the bin grid I and J axes respectively;
k = point scale factor of the map grid at a chosen reference point;
q  = the angle through which the bin grid axes must be rotated to coincide with the map grid axes (counter-clockwise is positive). Alternatively, the bearing (clockwise positive) of the bin grid J-axis measured relative to map grid north.</gml:formula>
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8733" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8734" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8735" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8736" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8737" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8738" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8739" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8740" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8741" />
   <gml:generalOperationParameter xlink:href="urn:ogc:def:parameter:EPSG::8742" />
</gml:OperationMethod>