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  <title>SVG Transforms 1.0, Part 2: Language</title>
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    <h1>SVG Transforms 1.0, Part 2: Language</h1>
    <h2 id="W3C-doctype">W3C Working Draft 20 March 2009</h2>
    <dl>
      <dt>This version:</dt>
        <dd><a href="http://www.w3.org/TR/2009/WD-SVG-Transforms-20090320/">http://www.w3.org/TR/2009/WD-SVG-Transforms-20090320/</a></dd>
      <dt>Latest version:</dt>
        <dd><a href="http://www.w3.org/TR/SVG-Transforms">http://www.w3.org/TR/SVG-Transforms</a></dd>
      <dt>Previous version:</dt>
        <dd>This is the first public Working Draft</dd>
      <dt>Editors:</dt>
        <dd>
          Jun Fujisawa, Canon Inc. &lt;<a href="mailto:fujisawa.jun@canon.co.jp">fujisawa.jun@canon.co.jp</a>&gt;
        </dd>
        <dd>
          Anthony Grasso, Canon Inc. &lt;<a href="mailto:anthony.grasso@cisra.canon.com.au">anthony.grasso@cisra.canon.com.au</a>&gt;
        </dd>
      <dt>Authors:</dt>
        <dd>
          The authors of this specification are the participants of the W3C SVG Working Group.
        </dd>
    </dl>

    <p class="copyright"><a href="http://www.w3.org/Consortium/Legal/ipr-notice#Copyright">Copyright</a> &copy; 2007 <a href="http://www.w3.org/"><acronym title="World Wide Web Consortium">W3C</acronym></a><sup>&reg;</sup>  (<a href="http://www.csail.mit.edu/"><acronym title="Massachusetts Institute of Technology">MIT</acronym></a>, <a href="http://www.ercim.org/"><acronym title="European Research Consortium for Informatics and Mathematics">ERCIM</acronym></a>, <a href="http://www.keio.ac.jp/">Keio</a>), All Rights Reserved. W3C <a href="http://www.w3.org/Consortium/Legal/ipr-notice#Legal_Disclaimer">liability</a>, <a href="http://www.w3.org/Consortium/Legal/ipr-notice#W3C_Trademarks">trademark</a>  and <a href="http://www.w3.org/Consortium/Legal/copyright-documents">document use</a> rules apply.</p>
  </div>
  <hr title="Separator from Header"></hr>
  <h2 id="abstract">
    Abstract</h2>
  <p>
    This working draft defines features of the Scalable Vector Graphics (SVG) Language
    that are specifically for display environments.
  </p>
  <p>
    This document defines the markup used by SVG Transforms. SVG Transforms allows
    two-dimensional objects to be transformed using three-dimensional transformations.
  </p>
  <p>
    Although originally designed for use in SVG, some aspects of this specification
    are defined in XML and are accessed via presentation properties, and therefore could
    be used in other environments, such as HTML styled with CSS and XSL:FO.
  </p>
  <p>
    This document defines the markup used by SVG Transforms.
  </p>
  <h2 id="status">
    Status of This Document
  </h2>
  <p><em>This section describes the status of this document at the time of its publication. Other documents may supersede this document. A list of current W3C publications and the latest revision of this technical report can be found in the <a href="http://www.w3.org/TR/">W3C technical reports index</a>  at http://www.w3.org/TR/.</em></p>

  <p>Publication as a Working Draft does not imply endorsement by the W3C Membership. This is a draft document and may be updated, replaced or obsoleted by other documents at any time. It is inappropriate to cite this document as other than work in progress.</p>

  <p>
    This document is the first public working draft of this specification. There will be
    an accompanying <!-- <a href="#SVG12TransformsPrimer">SVG Transforms 1.0, Part 1:
    Primer</a> --> Transforms Primer that lists the ways SVG Transforms may be used.
    This document is published in coordination with the CSS Working Group, which is
    exploring similar functionality, with the aim of keeping compatibility betweeen
    SVG and CSS.
  </p>
  <p>
    This document has been produced by the <a href="http://www.w3.org/Graphics/SVG">W3C
    SVG Working Group</a> as part of the W3C <a href="http://www.w3.org/Graphics/Activity">
    Graphics Activity</a> within the <a href="http://www.w3.org/Interaction/">Interaction
    Domain</a>.
  </p>
  <p>
    We explicitly invite comments on this specification. Please send them to <a href="mailto:www-svg@w3.org">
      www-svg@w3.org</a> (<a href="http://lists.w3.org/Archives/Public/www-svg/">archives</a>),
    the public email list for issues related to vector graphics on the Web. Acceptance
    of the archiving policy is requested automatically upon first post to either list.
    To subscribe to this list, please send an email to <a href="mailto:www-svg-request@w3.org">
      www-svg-request@w3.org</a> with the word subscribe in the subject line.
  </p>
  <p>
    The latest information regarding <a href="http://www.w3.org/Graphics/SVG/Disclosures">
      patent disclosures</a> related to this document is available on the Web. As of
    this publication, the SVG Working Group are not aware of any royalty-bearing patents
    they believe to be essential to SVG.
  </p>

  <p>This document was produced by a group operating under the <a href="http://www.w3.org/Consortium/Patent-Policy-20040205/">5 February 2004 W3C Patent Policy</a>. W3C maintains a <a rel="disclosure" href="http://www.w3.org/2004/01/pp-impl/19480/status">public list of any patent disclosures</a> made in connection with the deliverables of the group; that page also includes instructions for disclosing a patent. An individual who has actual knowledge of a patent which the individual believes contains <a href="http://www.w3.org/Consortium/Patent-Policy-20040205/#def-essential">Essential Claim(s)</a> must disclose the information in accordance with <a href="http://www.w3.org/Consortium/Patent-Policy-20040205/#sec-Disclosure">section 6 of the W3C Patent Policy</a>. </p>

  <hr></hr>
  <h2 id="howto">
    How to read this document and give feedback</h2>
  <p>
    This working draft of SVG Transforms introduces new 3D transforms syntax
    and markup for the SVG language, extending the existing transforms functionality.
    One of the goals is that this specification can be re-used more easily by other
    specifications that want to have advanced Transforms features. This specification
    introduces syntax that may not be backwards compatible with older SVG User Agents,
    and the use of this syntax should be accompanied by a fallback using the 'switch'
    element.
  </p>
  <p>
    The main purpose of this document is to encourage public feedback. The best way
    to give feedback is by sending an email to <a href="mailto:www-svg@w3.org">www-svg@w3.org</a>.
    Please include some kind of keyword that identifies the area of the specification
    the comment is referring to in the subject line of your message (e.g "Section X.Y
    - Foo attribute values" or "Transforms Functionality"). If you have comments
    on multiple areas of this document, then it is probably best to split those comments
    into multiple messages.
  </p>
  <p>
    The public are welcome to comment on any aspect in this document, but there are
    a few areas in which the SVG Working Group are explicitly requesting feedback. These
    areas are noted in place within this document<span class="feedback">like this</span>.
    There is also a specific area related to the specification that is listed here:
  </p>
  <div id="toc">
    <h2>
      Contents</h2>
    <ol class="toc">
      <li>1. <a href="#sec-intro">Introduction</a>
        <ol class="toc">
          <li>1.1. <a href="#projection-matrix-definition">Projection Matrix</a></li>
          <li>1.2. <a href="#threed-matrix-definition">3D Transformation Matrix</a></li>
        </ol>
      </li>
      <li>2. <a href="#perspective-definitions">Perspective Definitions</a>
        <ol class="toc">
          <li>2.1. <a href="#transform-origin">The <span class="prop-name">'transform-origin'</span> property</a>
            <ol class="toc">
              <li>1.2.1. <a href="#threed-translate-definition">3D Translation Matrix</a></li>
              <li>1.2.2. <a href="#threed-scale-definition">3D Scaling Matrix</a></li>
              <li>1.2.3. <a href="#threed-rotate-definition">3D Rotation</a></li>
              <li>1.2.4. <a href="#threed-rotate-x-definition">3D Rotation about X</a></li>
              <li>1.2.5. <a href="#threed-rotate-y-definition">3D Rotation about Y</a></li>
              <li>1.2.6. <a href="#threed-rotate-z-definition">3D Rotation about Z</a></li>
            </ol>
          </li>
          <li>2.2. <a href="#perspective-property">The <span class="prop-name">'perspective'</span> Property</a></li>
        </ol>
      </li>
      <li>3. <a href="#transform-list-extensions">TransformList Extensions</a></li>
      <li>4. <a href="#animate-transform-extensions"><span class="element-name">'animateTransform'</span> Extensions</a></li>
      <li>5. <a href="#_4x4-to-3x3-conversion">Converting a 4x4 to a 3x3 matrix</a></li>
      <li>6. <a href="#RelaxNG">RelaxNG Schema for SVG Transforms 1.0</a></li>
      <li>7. <a href="#DOMInterfaces">DOM interfaces</a>
        <ol class="toc">
          <li>7.1. <a href="#SVGMatrix">Interface <span class="DOMInterfaceName">SVGMatrix</span></a></li>
          <li>7.2. <a href="#SVGPerspective">Interface <span class="DOMInterfaceName">SVGPerspective</span></a></li>
          <li>7.3. <a href="#SVGTransformOrigin">Interface <span class="DOMInterfaceName">SVGTransformOrigin</span></a></li>
          <li>7.4. <a href="#SVGSVGElement">Interface <span class="DOMInterfaceName">SVGSVGElement</span></a></li>
          <li>7.5. <a href="#TraitAccess">Interface <span class="DOMInterfaceName">TraitAccess</span></a></li>
        </ol>
      </li>
      <li>8. <a href="#refs">References</a>
        <ol class="toc">
          <li>8.1. <a href="#normrefs">Normative References</a></li>
          <li>8.2. <a href="#informrefs">Informative References</a></li>
        </ol>
      </li>
      <li>9. <a href="#acknowledgements">Acknowledgements</a></li>
    </ol>
  </div>

  <div id="sec-intro"  class="section">
    <h2 id="intro">
      1. Introduction
    </h2>
    <p>
      This document is normative and lists features that may be used in the context of display. The various
      scenarios are listed in the SVG Transforms Requirements document.
    </p>
    <p>
      Note that even though this specification references parts of <a href="#ref-svgT12">
        SVG Tiny 1.2</a> it does not require a complete or SVG Tiny 1.2 implementation.
    </p>
    <p>
      This document contains explicit conformance criteria that overlap with some RNG
      definitions in requirements. If there is any conflict between the two, the explicit
      conformance criteria are the definitive reference.
    </p>
    <p>
      The SVG Transforms module extends the two-dimensional transformation pipeline in SVG to
      allow graphical elements to be transformed in three-dimensions. For elements to be
      transformed using three-dimensonal transformations a Z axis is introduced by this module.
      The elements in SVG can be positioned along the Z axis and transformed in 3D space, however
      the elements themselves still remain two-dimensional. A perspective projection can be
      applied to elements to give the illusion of depth. The projection plane for a perspective
      projection is the X-Y plane (where Z = 0). All are still rendered to this plane. Unless
      stated otherwise, all elements are rendered in document order as per the existing SVG
      specifications.
    </p>
    <h3 id="projection-matrix-definition">
      1.1. Projection Matrix
    </h3>
    <p>
      The projection matrix provides a means for depth information of an element to be
      specified. Depth information can be represented as a 4x4 matrix of the following
      form:
    </p>
    <pre>
1 0  0   0
0 1  0   0
0 0  0   0
0 0 1/-d 1
    </pre>
    <p>
      The projection transformation matrix is also expressed as a vector <strong>[x y d]</strong>.
      The <span class="prop-name"><a href="#perspective-property">'perspective'</a></span> property is used to set the
      perspective projection matrix of an object.
    </p>
    <h3 id="threed-matrix-definition">
      1.2. 3D Transformation Matrix
    </h3>
    <p>
      The 3D transformation matrices provide a means to transform a point in 3D space
      before it is projected to a 2D plane. Mathematically, all 3D transforms can
      be represted as a 4x4 transformation matrices.
    </p>
    <p>
      The 3D transforms matrices are of the following form:
    </p>
    <pre>
a b c d
e f g h
i j k m
0 0 0 1
    </pre>
    <p>
      The 3D transformation matrix is also expressed as a vector
      <strong>[a b c d e f g h i j k m]</strong>. The transforms in the
      <a href="#transform-list-extensions">TransformsList Extensions</a>
      can be used to set the transformation of an object.
    </p>
    <p class="issue">
      The <a href="http://dev.w3.org/csswg/css3-3d-transforms">CSS 3D Transforms</a>
      specification uses 16 values.
    </p>
    <h4 id="threed-translate-definition">1.2.1. 3D Translation Matrix</h4>
    <p>
      A 3D Translation is equivalent to the matrix:
    </p>
    <pre>
1 0 0 tx
0 1 0 ty
0 0 1 tz
0 0 0 1
    </pre>
    <h4 id="threed-scale-definition">1.2.2. 3D Scaling Matrix</h4>
    <p>
      A 3D Scaling is equivalent to the matrix:
    </p>
    <pre>
sx 0  0  0
0  sy 0  0
0  0  sz 0
0  0  0  1
    </pre>
    <h4 id="threed-rotate-definition">1.2.3. 3D Rotation</h4>
    <p>
      A 3D Rotation is equivalent to the matrix:
    </p>
    <pre>
t.nx.nx + c     t.nx.ny - s.nz  t.nx.nz + s.ny  0
t.nx.ny + s.nz  t.ny.ny + c     t.ny.nz - s.nx  0
t.nx.nz - s.ny  t.ny.nz + s.nx  t.nz.nz + c     0
       0              0               0         1
    </pre>
    <p>
    where:
    </p>
    <pre>
c = cos(a)
s = sin(a)
t = 1 - cos(a)
    </pre>
    <h4 id="threed-rotate-x-definition">1.2.4. 3D Rotation about X</h4>
    <p>
      A 3D Rotation about the X axis is equivalent to the matrix:
    </p>
    <pre>
1   0       0    0
0 cos(a) -sin(a) 0
0 sin(a) cos(a)  0
0   0       0    1
    </pre>
    <h4 id="threed-rotate-y-definition">1.2.5. 3D Rotation about Y</h4>
    <p>
      A 3D Rotation about the Y axis is equivalent to the matrix:
    </p>
    <pre>
 cos(a) 0 sin(a)  0
   0    1    0    0
-sin(a) 0 cos(a)  0
   0    0    0    1
    </pre>
    <h4 id="threed-rotate-z-definition">1.2.6. 3D Rotation about Z</h4>
    <p>
      A 3D Rotation about the Z axis is equivalent to the matrix:
    </p>
    <pre>
cos(a) -sin(a) 0  0
sin(a)  cos(a) 0  0
  0      0     1  0
  0      0     0  1
    </pre>
  </div>
  <div id="sec-perspective-definitions" class="section">
    <h2 id="perspective-definitions">
      2. Perspective Definitions
    </h2>
    <p class="issue">
      The SVG Working Group is currently discussing how to give the author the
      ability to change the Z order of objects. One possible solution is to use
      the CSS <a href="http://dev.w3.org/csswg/css3-3d-transforms/#transform-style-property">'transform-style'</a>
      property on a group. When set to "preserve-3d", it allows child elements in
      the group to be re-ordered based on their Z position (rather than document
      order). A similar option is to introduce a container element 'layeredG' or
      'g3d' where the order of rendering the child elements is based on its Z
      position. Note that in either case I different tree traversal order may
      only be needed. This would help restrict the complexity when rendering
      3D Transforms in SVG. The SVG Working Group believes this is the most
      optimal solution without causing too many complexities to
      SVG Implementations. The SVG Working Group welcomes any comments or
      suggestions regarding this feature.
    </p>
    <h3 id="transform-origin">
      2.1. The <span class="prop-name">'transform-origin'</span> property
    </h3>
    <p>
      The <span class="prop-name">'transform-origin'</span> property establishes the transformation
      origin of an element in the element's <span class="svg-term"><a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermCurrentTransformationMatrix">
        CTM </a></span>.
    </p>
    <div class="propdef">
      <dl>
        <dt><span class="prop-name">'transform-origin'</span></dt>
        <dd>
          <table summary="transform-origin property" class="propinfo" cellspacing="0" cellpadding="0">
            <tr valign="baseline">
              <td>
                <em>Value:</em>
              </td>
              <td>
                &lt;list-of-lengths&gt; | none
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Initial:</em>
              </td>
              <td>
                0 0 0
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Applies to:</em>
              </td>
              <td>
                Renderable elements. For SVG container elements and graphics
                elements.
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Inherited:</em>
              </td>
              <td>
                no
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Percentages:</em>
              </td>
              <td>
                no
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Media:</em>
              </td>
              <td>
                visual
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em><a href="http://www.w3.org/TR/SVGTiny12/animate.html#Animatable">Animatable</a>:
                </em>&nbsp;&nbsp;
              </td>
              <td>
                yes
              </td>
            </tr>
          </table>
        </dd>
      </dl>
    </div>
    <div>
      <dl>
        <dt>
          <span class="attr-value">none</span>
        </dt>
        <dd>
          No new transformation origin is established. This is the
          <a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermLacunaValue">
            <span class="svg-term">lacuna value</span>.
          </a>
        </dd>
        <dt>
          <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeLength">
            <span class="attr-value">&lt;list-of-lengths&gt;</span>
          </a>
        </dt>
        <dd>
          A list of three <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeLength">
            <span class="attr-value">&lt;lengths&gt;</span></a>s (<span class="attr-value">&lt;ox&gt;</span>,
          <span class="attr-value">&lt;oy&gt;</span> and <span class="attr-value">&lt;oz&gt;</span>),
          separated by white space and or a comma, which specify the origin to transform the
          element about. The coordinate definitions are as follows:
          <ul>
            <li>
              <p>
                <span class="attr-value">&lt;ox&gt;</span> specifies the <em>x</em>
                <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeCoordinate">
                  <span class="attr-value">&lt;coordinate&gt;</span>
                </a>
                of the new origin of the element using one of the values:
                <span class="attr-value">left | center | right | &lt;percentage&gt;</span>.
                This coordinate is established using the
                <a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermBoundingBox"><span class="svg-term">bounding box</span></a>
                of the element to which the transform is applied
                (see <a href="http://www.w3.org/TR/SVGTiny12/coords.html#ObjectBoundingBoxUnits">Object bounding box units</a>).
              </p>
              <p>
                The value <span class="attr-value">left</span> means the left most edge of the object's bounding box.
              </p>
              <p>
                The value <span class="attr-value">center</span> means the horizontal center of the object's bounding box.
              </p>
              <p>
                The value <span class="attr-value">right</span> means the right most edge of the object's bounding box.
              </p>
            </li>
            <li>
              <p>
                <span class="attr-value">&lt;oy&gt;</span> specifies the <em>y</em>
                <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeCoordinate">
                  <span class="attr-value">&lt;coordinate&gt;</span>
                </a>
                of the new origin of the element using one of the values:
                <span class="attr-value">top | center | bottom | &lt;percentage&gt;</span>.
                This coordinate is established using the
                <a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermBoundingBox"><span class="svg-term">bounding box</span></a>
                of the element to which the transform is applied
                (see <a href="http://www.w3.org/TR/SVGTiny12/coords.html#ObjectBoundingBoxUnits">Object bounding box units</a>).
              </p>
              <p>
                The value <span class="attr-value">top</span> means the top most edge of the object's bounding box.
              </p>
              <p>
                The value <span class="attr-value">center</span> means the vertical center of the object's bounding box.
              </p>
              <p>
                The value <span class="attr-value">bottom</span> means the right most edge of the object's bounding box.
              </p>
            </li>
            <li>
              <span class="attr-value">&lt;oz&gt;</span> specifies the <em>z</em>
              <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeCoordinate">
                <span class="attr-value">&lt;coordinate&gt;</span>
              </a>
              of the new origin of the element. The value is in the current
              <a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermUserCoordinateSystem">
                <span class="svg-term">user coordinate system</span>
              </a>.
            </li>
          </ul>
        </dd>
      </dl>
    </div>
    <p>
      The <span class="prop-name">'transform-origin'</span> is the equivalent of the following
      specification: <span class="attr-value">translate(&lt;ox&gt;, &lt;oy&gt;, &lt;oz&gt;)
        <a href="http://www.w3.org/TR/SVGTiny12/coords.html#TransformList">&lt;transform&gt;
        </a>translate(-&lt;ox&gt;, -&lt;oy&gt;, -&lt;oz&gt;) </span>.
      If a <span class="attr-value"><a href="http://www.w3.org/TR/SVGTiny12/coords.html#TransformList">
        &lt;transform&gt;</a></span> already specifies a transformation origin the <span
          class="prop-name">'transform-origin'</span> is still applied as per the equivalent
      specification specified above.
    </p>
    <p class="note">
      This property is similar to property in the <a href="http://dev.w3.org/csswg/css3-3d-transforms">
        CSS 3D Transforms </a>specification.
    </p>
    <h3 id="perspective-property">
      2.2. The <span class="prop-name">'perspective'</span> Property
    </h3>
    <p>
      The <span class="prop-name">'perspective'</span> property specifies a projeciton
      matrix to apply to child elements contained within the current element. It effectively
      sets the viewpoint to project an element on the X-Y viewing plane (where z=0).
    </p>
    <div class="propdef">
      <dl>
        <dt><span class="prop-name">'perspective'</span></dt>
        <dd>
          <table summary="perspective property" class="propinfo" cellspacing="0" cellpadding="0">
            <tr valign="baseline">
              <td>
                <em>Value:</em>
              </td>
              <td>
                &lt;list-of-lengths&gt; | none
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Initial:</em>
              </td>
              <td>
                none
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Applies to:</em>
              </td>
              <td>
                Renderable elements. For SVG container elements and graphics
                elements.
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Inherited:</em>
              </td>
              <td>
                no
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Percentages:</em>
              </td>
              <td>
                N/A
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em>Media:</em>
              </td>
              <td>
                visual
              </td>
            </tr>
            <tr valign="baseline">
              <td>
                <em><a href="http://www.w3.org/TR/SVGTiny12/animate.html#Animatable">Animatable</a>:
                </em>&nbsp;&nbsp;
              </td>
              <td>
                yes
              </td>
            </tr>
          </table>
        </dd>
      </dl>
    </div>
    <div>
      <dl>
        <dt><span class="prop-value">none</span></dt>
        <dd>
          No perspective transformation is applied to the element. This is the
          <a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermLacunaValue">
            <span class="svg-term">lacuna value</span>.
          </a>
        </dd>
        <dt>
          <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeLength">
            <span class="attr-value">&lt;list-of-lengths&gt;</span>
          </a>
        </dt>
        <dd>
          A list of three <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeLength">
            <span class="attr-value">&lt;lengths&gt;</span></a>s (<span class="attr-value">&lt;px&gt;</span>,
          <span class="attr-value">&lt;py&gt;</span> and <span class="attr-value">&lt;pd&gt;</span>),
          separated by white space and or a comma, which specify the position and depth of the perspective projection matrix for
          an element. The coordinate definitions are as follows:
          <ul>
            <li>
              <p>
                <span class="attr-value">&lt;px&gt;</span> specifies the <em>x</em>
                <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeCoordinate">
                  <span class="attr-value">&lt;coordinate&gt;</span>
                </a>
                of the perspective viewpoint on the X-Y viewing plane. The value is in the current
                <a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermUserCoordinateSystem">
                  <span class="svg-term">user coordinate system</span>
                </a>.
              </p>
            </li>
            <li>
              <p>
                <span class="attr-value">&lt;py&gt;</span> specifies the <em>y</em>
                <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeCoordinate">
                  <span class="attr-value">&lt;coordinate&gt;</span>
                </a>
                of the perspective viewpoint on the X-Y viewing plane. The value is in the current
                <a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermUserCoordinateSystem">
                  <span class="svg-term">user coordinate system</span>
                </a>.
              </p>
            </li>
            <li>
              <p>
                <span class="attr-value">&lt;pd&gt;</span> specifies the
                <a href="http://www.w3.org/TR/SVGTiny12/types.html#DataTypeCoordinate">
                  <span class="attr-value">&lt;coordinate&gt;</span>
                </a>
                representing the viewpoint distance from the X, Y viewing plane. The value is in the current
                <a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermUserCoordinateSystem">
                  <span class="svg-term">user coordinate system</span>
                </a>.
              </p>
            </li>
          </ul>
        </dd>
      </dl>
    </div>
    <p class="note">
      This property is similar to property in the <a href="http://dev.w3.org/csswg/css3-3d-transforms">
        CSS 3D Transforms </a>specification.
    </p>
    <p class="issue">
      Consider adding "near" and "far" planes to the 'perspective'
      property. Could have a value like: perspective(&lt;px&gt; &lt;py&gt; &lt;pd&gt; [&lt;n&gt; &lt;f&gt;]).
      &lt;n&gt; and &lt;f&gt; define the Near and Far clipping planes for the
      perspective view.
    </p>
  </div>
  <div id="sec-transform-list-extensions" class="section">
    <h2 id="transform-list-extensions">
      3. TransformList Extensions
    </h2>
    <p>
      SVG Transforms extends the transform types availble in the SVG
      <a href="http://www.w3.org/TR/SVGTiny12/coords.html#TransformList">
        <span>TransformList</span>. </a>
    </p>
    <ul>
      <li>
        <p>
          <span class="attr-value">matrix(a b c d e f g h i j k m)</span>, which specifies a transformation in the
          form of a <a href="#threed-matrix-definition">3D transformation matrix</a> of 12 values.
          <span class="attr-value">matrix(a,b,c,d,e,f,g,h,i,j,k,m)</span> is equivalent
          to applying the transformation matrix <strong>[a b c d e f g h i j k m]</strong>.
        </p>
      </li>
      <li>
        <p>
          <span class="attr-value">translate(&lt;tx&gt; [&lt;ty&gt; [&lt;tz&gt;]])</span>, which
          specifies a <a href="#threed-translate-definition">3D translation</a> by
          <var>tx</var>, <var>ty</var> and <var>tz</var>. If <em>&lt;ty&gt;</em> and <em>&lt;tz&gt;</em>
          are not provided, it is assumed to be zero.
        </p>
      </li>
      <li>
        <p>
          <span class="attr-value">scale(&lt;sx&gt; [&lt;sy&gt; [&lt;sz&gt;]])</span>, which
          specifies a <a href="#threed-scale-definition">3D scale</a> operation by
          <var>sx</var>, <var>sy</var> and <var>sz</var>. If <em>&lt;sy&gt;</em> and <em>&lt;sz&gt;</em>
          are not provided, it is assumed to be equal to <em>&lt;sx&gt;</em>.
        </p>
      </li>
      <li>
        <p>
          <span class="attr-value">rotate(&lt;rotate-angle&gt; &lt;nx&gt; &lt;ny&gt; &lt;nz&gt; [&lt;cx&gt; &lt;cy&gt; &lt;cz&gt;])</span>,
          which specifies a <a href="#threed-rotate-definition">3D rotation</a> by <span class="attr-value">
          &lt;rotate-angle&gt;</span> degrees in the direction defined by the vector <span class="attr-value">&lt;nx&gt; &lt;ny&gt; &lt;nz&gt;</span>
          about a given point.
        </p>
        <p>
          If optional parameters <span class="attr-value">&lt;cx&gt;</span>, <span class="attr-value">&lt;cy&gt;</span> and
          <span class="attr-value">&lt;cz&gt;</span> are not supplied, the rotation is about the origin of the current user
          coordinate system.
        </p>
        <p>
          If optional parameters <span class="attr-value">&lt;cx&gt;</span>, <span class="attr-value">&lt;cy&gt;</span> and
          <span class="attr-value">&lt;cz&gt;</span> are supplied, the rotation
          is about the point (<var>cx</var>, <var>cy</var> and <var>cz</var>). The operation
          represents the equivalent of the following specification:
          <span class="attr-value">translate(&lt;cx&gt;, &lt;cy&gt;, &lt;cz&gt;)
            rotate(&lt;rotate-angle&gt; &lt;nx&gt; &lt;ny&gt; &lt;nz&gt;) translate(-&lt;cx&gt;, -&lt;cy&gt;, -&lt;cz&gt;)</span>.
        </p>
      </li>
      <li>
        <p>
          <span class="attr-value">rotateX(&lt;rotate-angle&gt; [&lt;cy&gt; &lt;cz&gt;])</span>,
          which specifies a <a href="#threed-rotate-definition">rotation</a> by <span class="attr-value">
            &lt;rotate-angle&gt;</span> degrees about the X axis.
        </p>
        <p>
          If optional parameters <span class="attr-value">&lt;cy&gt;</span> and <span class="attr-value">
            &lt;cz&gt;</span> are supplied, the rotation is about the point (<var>cy</var>,
          <var>
            cz</var>). The operation represents the equivalent of the following specification:
          <span class="attr-value">translate(0, &lt;cy&gt;, &lt;cz&gt;) rotateX(&lt;rotate-angle&gt;)
            translate(0, -&lt;cy&gt;, -&lt;cz&gt;)</span>.
        </p>
      </li>
      <li>
        <p>
          <span class="attr-value">rotateY(&lt;rotate-angle&gt; [&lt;cx&gt; &lt;cz&gt;])</span>,
          which specifies a <a href="#threed-rotate-definition">rotation</a> by <span class="attr-value">
            &lt;rotate-angle&gt;</span> degrees about the Y axis.
        </p>
        <p>
          If optional parameters <span class="attr-value">&lt;cx&gt;</span> and <span class="attr-value">
            &lt;cz&gt;</span> are supplied, the rotation is about the point (<var>cx</var>,
          <var>
            cz</var>). The operation represents the equivalent of the following specification:
          <span class="attr-value">translate(&lt;cx&gt;, 0, &lt;cz&gt;) rotateX(&lt;rotate-angle&gt;)
            translate(-&lt;cx&gt;, 0, -&lt;cz&gt;)</span>.
        </p>
      </li>
      <li>
        <p>
          <span class="attr-value">rotateZ(&lt;rotate-angle&gt; [&lt;cx&gt; &lt;cy&gt;])</span>,
          which specifies a <a href="#threed-rotate-definition">rotation</a> by <span class="attr-value">
            &lt;rotate-angle&gt;</span> degrees about the Z axis.
        </p>
        <p>
          If optional parameters <span class="attr-value">&lt;cx&gt;</span> and <span class="attr-value">
            &lt;cy&gt;</span> are supplied, the rotation is about the point (<var>cx</var>,
          <var>
            cy</var>). The operation represents the equivalent of the following specification:
          <span class="attr-value">translate(&lt;cx&gt;, &lt;cy&gt;, 0) rotateX(&lt;rotate-angle&gt;)
            translate(-&lt;cx&gt;, -&lt;cy&gt;, 0)</span>.
        </p>
      </li>
    </ul>
  </div>
  <div id="sec-animate-transform-extensions" class="section">
    <h2 id="animate-transform-extensions">
      4. <span class="element-name">'animateTransform'</span> Extensions
    </h2>
    <p>
      SVG Transforms extends the <a href="http://www.w3.org/TR/SVGTiny12/animate.html#AnimateTransformElement"><span class="element-name">'animateTransform'</span></a>
      element <span class="adef">'type'</span> to include the <a href="#transform-list-extensions">TransformList</a>
      extensions.
    </p>

    <p><em>Attribute definition:</em></p>
      <dl class="definitions">
        <dt id="AnimateTransformElementTypeAttribute"><span class="adef">type</span> = <span class="attr-value">"translate" | "scale" | "rotate" | "rotateX" | "rotateY" | "rotateZ" | "skewX" | "skewY" </span></dt>

        <dd><p>Indicates the type of transformation which is to have
        its values change over time. If <a href="#AnimateTransformElementTypeAttribute"><span class="attr-name">'type'</span></a> has an <a href="http://www.w3.org/TR/SVGTiny12/intro.html#TermUnsupportedValue"><span class="svg-term">unsupported value</span></a> (e.g. <span class="attr-value">type="foo"</span> or <span class="attr-value">type="ref(svg)"</span>) the <a href="http://www.w3.org/TR/SVGTiny12/animate.html#AnimateTransformElement"><span class="element-name">'animateTransform'</span></a> element is ignored.</p>

        <p class="anim-target">
          <a href="http://www.w3.org/TR/SVGTiny12/animate.html#Animatable">Animatable</a>: no.</p>
        </dd>
      </dl>
    <p>The <a href="http://www.w3.org/TR/SVGTiny12/animate.html#FromAttribute"><span class="attr-name">'from'</span></a>, <a href="http://www.w3.org/TR/SVGTiny12/animate.html#ByAttribute"><span class="attr-name">'by'</span></a> and <a href="http://www.w3.org/TR/SVGTiny12/animate.html#ToAttribute"><span class="attr-name">'to'</span></a> attributes take a value
    expressed using the same syntax that is available for the given
    transformation type:</p>

    <ul>
      <li>
        For a <span class="attr-value">type="translate"</span>,
        each individual value is expressed as <span class="attr-value">&lt;tx&gt; [,&lt;ty&gt; [,&lt;tz&gt;]]</span>.
      </li>
      <li>
        For a <span class="attr-value">type="scale"</span>, each
        individual value is expressed as <span class="attr-value">&lt;sx&gt; [,&lt;sy&gt;[,&lt;sz&gt;]]</span>.
      </li>
      <li>
        For a <span class="attr-value">type="rotate"</span>, each
        individual value is expressed as <span class="attr-value">
        rotate(&lt;rotate-angle&gt; &lt;nx&gt; &lt;ny&gt; &lt;nz&gt; [&lt;cx&gt; &lt;cy&gt; &lt;cz&gt;])
        </span>.
      </li>
      <li>
        For a <span class="attr-value">type="rotateX"</span>, each
        individual value is expressed as <span class="attr-value">
        rotateX(&lt;rotate-angle&gt; [&lt;cy&gt; &lt;cz&gt;])
        </span>.
      </li>
      <li>
        For a <span class="attr-value">type="rotateY"</span>, each
        individual value is expressed as <span class="attr-value">
        rotateY(&lt;rotate-angle&gt; [&lt;cx&gt; &lt;cz&gt;])
        </span>.
      </li>
      <li>
        For a <span class="attr-value">type="rotateZ"</span>, each
        individual value is expressed as <span class="attr-value">
        rotateZ(&lt;rotate-angle&gt; [&lt;cx&gt; &lt;cy&gt;])
        </span>.
      </li>
      <li>
        For a <span class="attr-value">type="skewX"</span> and
        <span class="attr-value">type="skewY"</span>, each individual
        value is expressed as <span class="attr-value">&lt;skew-angle&gt;</span>.
      </li>
    </ul>
  </div>
  <div id="sec-matrix-conversion" class="section">
    <h2 id="_4x4-to-3x3-conversion">
      5. Converting a 4x4 to a 3x3 matrix
    </h2>
    <p>
      A rectangle ABCD is given on plane X-Y. When a 3D affine transform and perspective
      projection are applied, a quadrangle A'B'C'D' will appear on the X-Y plane. Note the
      X-Y plane is the projection plane. Generally, this mapping is expressed as a 4x4 matrix.
    </p>
    <p>
      An affine <a href="#threed-matrix-definition">3D Transform Matrix</a> <em>T</em> is
      given as
    </p>
    <pre>
    | a11 a12 a13 a14 |
M = | a21 a22 a23 a24 |
    | a31 a32 a33 a34 |
    |  0   0   0   1  |
    </pre>
    <p>
      A <a href="#projection-matrix-definition">Perspective Projection Matrix</a>
      <em>P</em> is given as
    </p>
    <pre>
    | 1 0  0   0 |
P = | 0 1  0   0 |
    | 0 0  0   0 |
    | 0 0 1/d  1 |
    </pre>
    <p>
      The combined matrix <em>M</em>can be expressed as
    </p>
    <pre>
M = P.T

    | 1 0  0   0 | | a11 a12 a13 a14 |
  = | 0 1  0   0 |.| a21 a22 a23 a24 |
    | 0 0  0   0 | | a31 a32 a33 a34 |
    | 0 0 1/d  1 | |  0   0   0   1  |

    |  a11   a12   a13     a14    |
  = |  a21   a22   a23     a24    |
    |   0     0     0       0     |
    | a31/d a32/d a33/d (a34/d)+1 |

  = Expression 1
    </pre>
    <p>
      An arbitary point <em>K</em> can be expressed as (<em>kx</em>, <em>ky</em>, 0).
      If the point <em>K</em> is transformed to point <em>K'</em>(<em>k'x</em>,<em>k'y</em>,0),
      the eqation is derived
    </p>
    <pre>
| k'x |     | kx |
| k'y | = M.| ky |
|  0  |     | 0  |
| k'w |     | 1  |

          |  a11   a12   a13     a14    | | kx |
        = |  a21   a22   a23     a24    |.| ky |
          |   0     0     0       0     | | 0  |
          | a31/d a32/d a33/d (a34/d)+1 | | 1  |

          | a11.kx + a12.ky + a14               |
        = | a21.kx + a22.ky + a24               |
          | 0                                   |
          | (a31/d).kx + (a32/d).ky + (a34/d)+1 |

        = Expression 2
    </pre>
    <p>
      A non-affine 3x3 matrix (<em>F</em>) can be expressed as a 4x4 where the components that
      make up the Z axis are set to 0 as shown below
    </p>
    <pre>
    | b11 b12  0  b14 |
F = | b21 b22  0  b24 |
    |  0   0   0   0  |
    | b41 b42  0   1  |
    </pre>
    <p>
      If matrix <em>F</em> can be used to map point <em>K</em> to point <em>K'</em> as
      shown below
    </p>
    <pre>
| k'x |     | kx |
| k'y | = F.| ky |
|  0  |     | 0  |
| k'w |     | 1  |

          | b11 b12  0  b14 | | kx |
        = | b21 b22  0  b24 |.| ky |
          |  0   0   0   0  | | 0  |
          | b41 b42  0   1  | | 1  |

          | b11.kx + b12.ky + b14 |
        = | b21.kx + b22.ky + b24 |
          | 0                     |
          | b41.kx + b42.ky + 1   |

        = Expression 3
    </pre>
    <p>
      <em>Expression 2</em> can be shown to be related to <em>Expression 3</em>
      for any arbitary point <em>kx</em>, <em>ky</em> by a constant <em>m</em>
    </p>
    <pre>
| a11.kx + a12.ky + a14               |   | m.(b11.kx + b12.ky + b14) |
| a21.kx + a22.ky + a24               | = | m.(b21.kx + b22.ky + b24) |
| 0                                   |   |    0                      |
| (a31/d).kx + (a32/d).ky + (a34/d)+1 |   | m.(b41.kx + b42.ky + 1)   |
    </pre>
    <p>
      Thus it can be said from the above relationship
    </p>
    <pre>
        a11 = m.b11
        a12 = m.b12
        a14 = m.b14
        a21 = m.b21
        a22 = m.b22
        a24 = m.b24
      a31/d = m.b41
      a32/d = m.b42
(a34/d) + 1 = m
    </pre>
    <p>
      Therefore, the combination of An affine <a href="#threed-matrix-definition">3D Transform Matrix</a>
      and a <a href="#projection-matrix-definition">Perspective Projection Matrix</a> can be expressed
      by using a 3x3 matirx as follows
    </p>
    <pre>
| a11     a12        a14    |
| a21     a22        a24    |
| a31/d  a32/d  (a34/d) + 1 |
    </pre>
  </div>
  <div id="sec-schema" class="section">
    <h2 id="RelaxNG">
      6. RelaxNG Schema for SVG Transforms 1.0</h2>
    <p>
      The schema for SVG Transforms 1.0 is written in <a href="http://www.y12.doe.gov/sgml/sc34/document/0362_files/relaxng-is.pdf">
        RelaxNG</a> [<a href="#ref-RNG">RelaxNG</a>], a namespace-aware schema language
      that uses the datatypes from <a href="http://www.w3.org/TR/2004/REC-xmlschema-2-20041028/">
        XML Schema Part 2</a> [<a href="#ref-Schema2">Schema2</a>]. This allows namespaces
      and modularity to be much more naturally expressed than using DTD syntax. The RelaxNG
      schema for SVG Transforms 1.0 may be imported by other RelaxNG schemas, or combined
      with other schemas in other languages into a multi-namespace, multi-grammar schema
      using <a href="http://www.asahi-net.or.jp/~eb2m-mrt/dsdl/">Namespace-based Validation
        Dispatching Language</a> [<a href="#ref-NVDL">NVDL</a>].</p>
    <p>
      Unlike a DTD, the schema used for validation is not hardcoded into the document
      instance. There is no equivalent to the DOCTYPE declaration. Simply point your editor
      or other validation tool to the IRI of the schema (or your local cached copy, as
      you prefer).</p>
    <p>
      The RNG is under construction, and only the individual RNG snippets are available
      at this time. They have not yet been integrated into a functional schema. The individual
      RNG files will be available soon. <!-- are available <a href="rng">here</a>. -->
    </p>
  </div>
  <div id="sec-DOMInterfaces">
    <h2 id="DOMInterfaces">
      7. DOM interfaces</h2>
    <div class="note">
      The interfaces below will be made available in a IDL file for an upcoming draft.
    </div>
    <br />
    <br />
    <h3 id="SVGMatrix">
      7.1. Interface <span class="DOMInterfaceName">SVGMatrix</span>
    </h3>
    <p>
      The <span class="DOMInterfaceName">SVGMatrix</span> interface corresponds to setting the equivalent
      matrix values of a component from the <span class="attr-name"> transform</span> attribute specification.
    </p>
    <dl>
      <dt>
        <br />
        <br />
        <b>IDL Definition</b> </dt>
      <dd>
        <div class="idl-code">
          <pre>
interface SVGMatrix
{
  float getComponent(in unsigned long index)
      raises(DOMException);
  SVGMatrix multiply(in SVGMatrix secondMatrix);
  SVGMatrix inverse()
      raises(SVGException);
  SVGMatrix translate(in float x, in float y, in float z);
  SVGMatrix scale(in float scaleFactor-x, in float scaleFactor-y, in scaleFactor-y);
  SVGMatrix rotate(in float angle);
  SVGMatrix rotateX(in float angle);
  SVGMatrix rotateY(in float angle);
  SVGMatrix rotateZ(in float angle);
};
          </pre>
        </div>
        <br />
        <br />
      </dd>
      <dt><b>Methods</b></dt>
      <dd>
        <dl>
          <dt><span class="dom-method-name">getComponent3D</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">multiply3D</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">inverse</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">translate</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">scale</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">rotateX</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">rotateY</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">rotateZ</span> </dt>
          <dd>
          </dd>
        </dl>
      </dd>
    </dl>
    <h3 id="SVGPerspective">
      7.2. Interface <span class="DOMInterfaceName">SVGPerspective</span>
    </h3>
    <p>
      The <span class="DOMInterfaceName">SVGPerspective</span> interface corresponds
      to the <span class="attr-name">'perspective'</span> attribute.
    </p>
    <dl>
      <dt>
        <br />
        <br />
        <b>IDL Definition</b> </dt>
      <dd>
        <div class="idl-code">
          <pre>
Interface SVGPerspective
{
  attribute float ex;
  attribute float ey;
  attribute float ez;
};
          </pre>
        </div>
        <br />
        <br />
      </dd>
      <dt><b>Attributes</b></dt>
      <dd>
        <dl>
          <dt><span class="dom-attr-type">float ex</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-attr-type">float ey</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-attr-type">float ez</span> </dt>
          <dd>
          </dd>
        </dl>
      </dd>
    </dl>
    <h3 id="SVGTransformOrigin">
      7.3. Interface <span class="DOMInterfaceName">SVGTransformOrigin</span>
    </h3>
    <p>
      The <span class="DOMInterfaceName">SVGTransformOrigin</span> interface corresponds
      to the <span class="attr-name">'transform-origin'</span> attribute.
    </p>
    <dl>
      <dt>
        <br />
        <br />
        <b>IDL Definition</b> </dt>
      <dd>
        <div class="idl-code">
          <pre>
Interface SVGTransformOrigin
{
  attribute float ox;
  attribute float oy;
  attribute float oz;
};
          </pre>
        </div>
        <br />
        <br />
      </dd>
      <dt><b>Attributes</b></dt>
      <dd>
        <dl>
          <dt><span class="dom-attr-type">float ox</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-attr-type">float oy</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-attr-type">float oz</span> </dt>
          <dd>
          </dd>
        </dl>
      </dd>
    </dl>
    <h3 id="SVGSVGElement">
      7.4. Interface <span class="DOMInterfaceName">SVGSVGElement</span>
    </h3>
    <p>
      The <span class="DOMInterfaceName">SVGMatrix</span> interface corresponds to creating
      a 3D Transformation Matrix.
    </p>
    <dl>
      <dt>
        <br />
        <br />
        <b>IDL Definition</b> </dt>
      <dd>
        <div class="idl-code">
          <pre>
interface SVGSVGElement : SVGLocatableElement, SVGTimedElement
{
  SVGMatrix createSVGMatrixComponents
  (
    in float m1, in float m2, in float m3, in float m4,
    in float m5, in float m6, in float m7, in float m8,
    in float m9, in float m10, in float m11, in float m12
  );
  SVGPerspective createSVGerspective
  (
    in float p1, in float p2, in float p3
  );
};
          </pre>
        </div>
        <br />
        <br />
      </dd>
      <dt><b>Methods</b></dt>
      <dd>
        <dl>
          <dt><span class="dom-method-name">createSVGMatrixComponents</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">createSVGerspective</span> </dt>
          <dd>
          </dd>
        </dl>
      </dd>
    </dl>
    <h3 id="SVGLocatable">
      Interface <span class="DOMInterfaceName">SVGLocatable</span>
    </h3>
    <p>
    </p>
    <dl>
      <dt>
        <br />
        <br />
        <b>IDL Definition</b> </dt>
      <dd>
        <div class="idl-code">
          <pre>
interface SVGLocatable
{
  SVGMatrix getScreenCTM();
  SVGPerspective getScreenPerspective();
};
          </pre>
        </div>
        <br />
        <br />
      </dd>
      <dt><b>Methods</b></dt>
      <dd>
        <dl>
          <dt><span class="dom-method-name">getScreenCTM</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">getScreenPerspective</span> </dt>
          <dd>
          </dd>
        </dl>
      </dd>
    </dl>
    <h3 id="TraitAccess">
      7.5. Interface <span class="DOMInterfaceName">TraitAccess</span>
    </h3>
    <p>
    </p>
    <dl>
      <dt>
        <br />
        <br />
        <b>IDL Definition</b> </dt>
      <dd>
        <div class="idl-code">
          <pre>
interface TraitAccess
{
  SVGMatrix getMatrixTrait(in DOMString name)
      raises(DOMException);
  SVGMatrix getMatrixPresentationTrait(in DOMString name)
      raises(DOMException);
  void setMatrixTrait(in DOMString name, in SVGMatrix matrix)
      raises(DOMException);
};
          </pre>
        </div>
        <br />
        <br />
      </dd>
      <dt><b>Methods</b></dt>
      <dd>
        <dl>
          <dt><span class="dom-method-name">getMatrixTrait</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">getMatrixPresentationTrait</span> </dt>
          <dd>
          </dd>
          <dt><span class="dom-method-name">setMatrixTrait</span> </dt>
          <dd>
          </dd>
        </dl>
      </dd>
    </dl>
  </div>
  <div id="sec-refs" class="section">
    <h2 id="refs">8. References</h2>
    <h3 id="normrefs">8.1. Normative References</h3>
    <dl>
      <dt id="ref-NVDL"><strong class="normref">[NVDL]</strong></dt>
      <dd>
        <strong>Document Schema Definition Languages (DSDL) — Part 4: Namespace-based Validation
          Dispatching Language — NVDL. ISO/IEC FCD 19757-4</strong>, See <a href="http://www.asahi-net.or.jp/~eb2m-mrt/dsdl/">
            http://www.asahi-net.or.jp/~eb2m-mrt/dsdl/</a></dd>
      <dt id="ref-RNG"><strong class="normref">[RelaxNG]</strong></dt>
      <dd>
        <strong>Document Schema Definition Languages (DSDL) — Part 2: Regular grammar- based
          validation — RELAX NG. ISO/IEC FDIS 19757-2:2002(E)</strong>, J. Clark, <span class="ruby">
            <span lang="ja" xml:lang="ja" class="rb">村田 真</span> <span class="rp">(</span><span
              class="rt"><span class="familyname">Murata</span> M.</span><span class="rp">)</span></span>,
        eds., 12 December 2002. See <a href="http://www.y12.doe.gov/sgml/sc34/document/0362_files/relaxng-is.pdf">
          http://www.y12.doe.gov/sgml/sc34/document/0362_files/relaxng-is.pdf</a></dd>
      <dt id="ref-Schema2"><strong class="normref">[Schema2]</strong></dt>
      <dd>
        <strong>XML Schema Part 2: Datatypes Second Edition</strong>, P. Biron, A. Malhotra,
        eds. W3C, 28 October 2004 (Recommendation). Latest version available at <a href="http://www.w3.org/TR/xmlschema-2/">
          http://www.w3.org/TR/xmlschema-2/</a>. See also <a href="http://www.w3.org/TR/2005/NOTE-xml11schema10-20050511/">
            Processing XML 1.1 documents with XML Schema 1.0 processors</a>.
      </dd>
      <dt id="ref-svgT12"><strong class="normref">[SVGT12]</strong></dt>
      <dd>
        <strong>Scalable Vector Graphics (SVG) Tiny 1.2 Specification</strong>, O. Andersson,
        R. Berjon, E. Dahlström, A. Emmons, J. Ferraiolo, A. Grasso, V. Hardy, S. Hayman,
        D. Jackson, C. Lilley, C. McCormack, A. Neumann, C. Northway, A. Quint, N. Ramani,
        D. Schepers, A. Shellshear, editors.
        W3C, 22 December 2008 (Recommendation). See <a href="http://www.w3.org/TR/2008/REC-SVGTiny12-20081222/">
          http://www.w3.org/TR/2008/REC-SVGTiny12-20081222/</a>
      </dd>
    </dl>
    <h3 id="informrefs">8.2. Informative References</h3>
    <dl>
      <dt id="ref-svgXformsReq"><strong class="informref">[SVGTransformsReqs]</strong></dt>
      <dd>
        <strong>SVG Transforms Requirements</strong>, Jun Fujisawa, Anthony Grasso, Canon Inc., (Working Draft).
         See <a href="http://dev.w3.org/SVG/modules/transforms/SVGTransformsReqs.html">http://dev.w3.org/SVG/modules/transforms/SVGTransformsReqs.html</a>
      </dd>
      <dt id="ref-openVG"><strong class="informref">[OpenVG11]</strong></dt>
      <dd>
        <strong>OpenVG 1.1 Specification</strong>, Daniel Rice, Google Inc.
        See <a href="http://www.khronos.org/registry/vg/specs/openvg_1_0_1.pdf">http://www.khronos.org/registry/vg/specs/openvg_1_0_1.pdf</a>
      </dd>
    </dl>
  </div>
  <div id="acknowledgements" class="section">
    <h2>9. Acknowledgements</h2>
    <p>
      The members of the SVG Working Group who contributed to this document
      include:
    </p>
    <ul>
      <li>Anthony Grasso, Canon Inc.</li>
      <li>Jun Fujisawa, Canon Inc.</li>
      <li><a href="http://mcc.id.au/">Cameron McCormack</a>, Invited Expert (<em>Working Group Co-Chair</em>)</li>
      <li><a href="http://www.w3.org/People/Schepers/">Doug Schepers</a>, W3C (<em>W3C Team Contact</em>)</li>
    </ul>
    <p>
      The editor would also like to thank the following people for contributing
      to this document: Shinya Takeichi, Richard Ling, Dean Jackson, Zack Rusin.
    </p>
  </div>
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