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 <span id="projectnumber">204.13.18</span>
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<p>Rotation a point/vector alone an axis with given angle in 3D world.
<a href="classmeow_1_1Rotation3D.html#details">More...</a></p>
<p><code>#include "<a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>"</code></p>
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Inheritance diagram for meow::Rotation3D< Scalar >:</div>
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<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a90c102c7f74e8a36ac0d24bef6b06337"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a90c102c7f74e8a36ac0d24bef6b06337">Rotation3D</a> ()</td></tr>
<tr class="separator:a90c102c7f74e8a36ac0d24bef6b06337"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab566bace2339705305d7e18c36116d2a"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#ab566bace2339705305d7e18c36116d2a">Rotation3D</a> (<a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> const &b)</td></tr>
<tr class="separator:ab566bace2339705305d7e18c36116d2a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa9ce2a9c913ea08ba7fb43aed4784a2b"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#aa9ce2a9c913ea08ba7fb43aed4784a2b">~Rotation3D</a> ()</td></tr>
<tr class="separator:aa9ce2a9c913ea08ba7fb43aed4784a2b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8ce437d591d81cc81be959d6f27e71c9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a8ce437d591d81cc81be959d6f27e71c9">copyFrom</a> (<a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> const &b)</td></tr>
<tr class="memdesc:a8ce437d591d81cc81be959d6f27e71c9"><td class="mdescLeft"> </td><td class="mdescRight">Copy data. <a href="#a8ce437d591d81cc81be959d6f27e71c9">More...</a><br/></td></tr>
<tr class="separator:a8ce437d591d81cc81be959d6f27e71c9"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac2919c38518ea677a85df8757bd8f0d9"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#ac2919c38518ea677a85df8757bd8f0d9">referenceFrom</a> (<a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> const &b)</td></tr>
<tr class="memdesc:ac2919c38518ea677a85df8757bd8f0d9"><td class="mdescLeft"> </td><td class="mdescRight">Reference data. <a href="#ac2919c38518ea677a85df8757bd8f0d9">More...</a><br/></td></tr>
<tr class="separator:ac2919c38518ea677a85df8757bd8f0d9"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac6488df50303b564262065350186549a"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#ac6488df50303b564262065350186549a">parameter</a> (size_t i) const </td></tr>
<tr class="memdesc:ac6488df50303b564262065350186549a"><td class="mdescLeft"> </td><td class="mdescRight">same as <code>theta(i)</code> <a href="#ac6488df50303b564262065350186549a">More...</a><br/></td></tr>
<tr class="separator:ac6488df50303b564262065350186549a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0a7c3b7f605caf7bc54f80b25b317972"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a0a7c3b7f605caf7bc54f80b25b317972">parameter</a> (size_t i, Scalar const &s)</td></tr>
<tr class="memdesc:a0a7c3b7f605caf7bc54f80b25b317972"><td class="mdescLeft"> </td><td class="mdescRight">same as <code>theta(i, s)</code> <a href="#a0a7c3b7f605caf7bc54f80b25b317972">More...</a><br/></td></tr>
<tr class="separator:a0a7c3b7f605caf7bc54f80b25b317972"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aeceaa78749d4bd9f5d638591298073dd"><td class="memItemLeft" align="right" valign="top">Scalar const & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#aeceaa78749d4bd9f5d638591298073dd">theta</a> (size_t i) const </td></tr>
<tr class="memdesc:aeceaa78749d4bd9f5d638591298073dd"><td class="mdescLeft"> </td><td class="mdescRight">Get the <code>i</code> -th theta. <a href="#aeceaa78749d4bd9f5d638591298073dd">More...</a><br/></td></tr>
<tr class="separator:aeceaa78749d4bd9f5d638591298073dd"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a77a863b230bcacdfaf5a534f17268170"><td class="memItemLeft" align="right" valign="top">Scalar const & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a77a863b230bcacdfaf5a534f17268170">theta</a> (size_t i, Scalar const &s)</td></tr>
<tr class="memdesc:a77a863b230bcacdfaf5a534f17268170"><td class="mdescLeft"> </td><td class="mdescRight">Set the <code>i</code> -th theta. <a href="#a77a863b230bcacdfaf5a534f17268170">More...</a><br/></td></tr>
<tr class="separator:a77a863b230bcacdfaf5a534f17268170"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a757a196f261a28693061c5e16be97ab6"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a757a196f261a28693061c5e16be97ab6">axisAngle</a> (<a class="el" href="classmeow_1_1Vector.html">Vector</a>< Scalar > const &axis, Scalar const &angle)</td></tr>
<tr class="memdesc:a757a196f261a28693061c5e16be97ab6"><td class="mdescLeft"> </td><td class="mdescRight">Setting. <a href="#a757a196f261a28693061c5e16be97ab6">More...</a><br/></td></tr>
<tr class="separator:a757a196f261a28693061c5e16be97ab6"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a29ca99627654b9d136c12f6e0e2c91c5"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a29ca99627654b9d136c12f6e0e2c91c5">add</a> (<a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> const &r)</td></tr>
<tr class="memdesc:a29ca99627654b9d136c12f6e0e2c91c5"><td class="mdescLeft"> </td><td class="mdescRight">Concat another rotation transformation. <a href="#a29ca99627654b9d136c12f6e0e2c91c5">More...</a><br/></td></tr>
<tr class="separator:a29ca99627654b9d136c12f6e0e2c91c5"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a566ebd46881ef0165aab55a4cf4ca169"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a566ebd46881ef0165aab55a4cf4ca169">transformate</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x) const </td></tr>
<tr class="memdesc:a566ebd46881ef0165aab55a4cf4ca169"><td class="mdescLeft"> </td><td class="mdescRight">Do the transformate. <a href="#a566ebd46881ef0165aab55a4cf4ca169">More...</a><br/></td></tr>
<tr class="separator:a566ebd46881ef0165aab55a4cf4ca169"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4846e5870c41f3694678d8acf032b8df"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a4846e5870c41f3694678d8acf032b8df">jacobian</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x) const </td></tr>
<tr class="memdesc:a4846e5870c41f3694678d8acf032b8df"><td class="mdescLeft"> </td><td class="mdescRight">Return the jacobian matrix (derivate by the input vector) of this transformate. <a href="#a4846e5870c41f3694678d8acf032b8df">More...</a><br/></td></tr>
<tr class="separator:a4846e5870c41f3694678d8acf032b8df"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a201c56debd6cc0f4e75cb06148197726"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a201c56debd6cc0f4e75cb06148197726">jacobian</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x, size_t i) const </td></tr>
<tr class="memdesc:a201c56debd6cc0f4e75cb06148197726"><td class="mdescLeft"> </td><td class="mdescRight">Return the jacobian matrix of this transformate. <a href="#a201c56debd6cc0f4e75cb06148197726">More...</a><br/></td></tr>
<tr class="separator:a201c56debd6cc0f4e75cb06148197726"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa872f44ce5b53faadddc9493697cfe13"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#aa872f44ce5b53faadddc9493697cfe13">transformateInv</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x) const </td></tr>
<tr class="memdesc:aa872f44ce5b53faadddc9493697cfe13"><td class="mdescLeft"> </td><td class="mdescRight">Do the inverse transformate. <a href="#aa872f44ce5b53faadddc9493697cfe13">More...</a><br/></td></tr>
<tr class="separator:aa872f44ce5b53faadddc9493697cfe13"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ae12a31cabc1260bd7256734f0e04acfb"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#ae12a31cabc1260bd7256734f0e04acfb">jacobianInv</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x) const </td></tr>
<tr class="memdesc:ae12a31cabc1260bd7256734f0e04acfb"><td class="mdescLeft"> </td><td class="mdescRight">Return the jacobian matrix of the inverse form of this transformate. <a href="#ae12a31cabc1260bd7256734f0e04acfb">More...</a><br/></td></tr>
<tr class="separator:ae12a31cabc1260bd7256734f0e04acfb"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:af2a38c66668f6dcc11005e8f42b81f2f"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#af2a38c66668f6dcc11005e8f42b81f2f">jacobianInv</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x, size_t i) const </td></tr>
<tr class="memdesc:af2a38c66668f6dcc11005e8f42b81f2f"><td class="mdescLeft"> </td><td class="mdescRight">Return the jacobian matrix of the inverse form of this transformate. <a href="#af2a38c66668f6dcc11005e8f42b81f2f">More...</a><br/></td></tr>
<tr class="separator:af2a38c66668f6dcc11005e8f42b81f2f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a513851c5d53274b76fd9511ba1aea484"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a513851c5d53274b76fd9511ba1aea484">matrixInv</a> () const </td></tr>
<tr class="memdesc:a513851c5d53274b76fd9511ba1aea484"><td class="mdescLeft"> </td><td class="mdescRight">Return the inverse matrix. <a href="#a513851c5d53274b76fd9511ba1aea484">More...</a><br/></td></tr>
<tr class="separator:a513851c5d53274b76fd9511ba1aea484"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3e0095d1f506d6f11c434d55e454aca6"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Rotation3D.html#a3e0095d1f506d6f11c434d55e454aca6">operator=</a> (<a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> const &b)</td></tr>
<tr class="memdesc:a3e0095d1f506d6f11c434d55e454aca6"><td class="mdescLeft"> </td><td class="mdescRight">same as <code>copyFrom(b)</code> <a href="#a3e0095d1f506d6f11c434d55e454aca6">More...</a><br/></td></tr>
<tr class="separator:a3e0095d1f506d6f11c434d55e454aca6"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="inherit_header pub_methods_classmeow_1_1LinearTransformation"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classmeow_1_1LinearTransformation')"><img src="closed.png" alt="-"/> Public Member Functions inherited from <a class="el" href="classmeow_1_1LinearTransformation.html">meow::LinearTransformation< Scalar ></a></td></tr>
<tr class="memitem:ad21d0eb275d3ac9ce780e4ccf2c78bcb inherit pub_methods_classmeow_1_1LinearTransformation"><td class="memItemLeft" align="right" valign="top">virtual </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1LinearTransformation.html#ad21d0eb275d3ac9ce780e4ccf2c78bcb">~LinearTransformation</a> ()</td></tr>
<tr class="separator:ad21d0eb275d3ac9ce780e4ccf2c78bcb inherit pub_methods_classmeow_1_1LinearTransformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aeab1cf88fc67a1857504bd2fb18519f5 inherit pub_methods_classmeow_1_1LinearTransformation"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1LinearTransformation.html#aeab1cf88fc67a1857504bd2fb18519f5">matrix</a> () const </td></tr>
<tr class="memdesc:aeab1cf88fc67a1857504bd2fb18519f5 inherit pub_methods_classmeow_1_1LinearTransformation"><td class="mdescLeft"> </td><td class="mdescRight">Return the matrix form of this transformation. <a href="#aeab1cf88fc67a1857504bd2fb18519f5">More...</a><br/></td></tr>
<tr class="separator:aeab1cf88fc67a1857504bd2fb18519f5 inherit pub_methods_classmeow_1_1LinearTransformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="inherit_header pub_methods_classmeow_1_1Transformation"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_classmeow_1_1Transformation')"><img src="closed.png" alt="-"/> Public Member Functions inherited from <a class="el" href="classmeow_1_1Transformation.html">meow::Transformation< Scalar ></a></td></tr>
<tr class="memitem:a96471a49fe0b9737ad5b98b8e917385e inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">virtual </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a96471a49fe0b9737ad5b98b8e917385e">~Transformation</a> ()</td></tr>
<tr class="separator:a96471a49fe0b9737ad5b98b8e917385e inherit pub_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9c4d19fe8d95967596b06bc026bdf200 inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a9c4d19fe8d95967596b06bc026bdf200">inputRows</a> () const </td></tr>
<tr class="memdesc:a9c4d19fe8d95967596b06bc026bdf200 inherit pub_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Return the number of rows of the input matrix. <a href="#a9c4d19fe8d95967596b06bc026bdf200">More...</a><br/></td></tr>
<tr class="separator:a9c4d19fe8d95967596b06bc026bdf200 inherit pub_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1b556b6b0798d4e03cae5cdc474dca13 inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a1b556b6b0798d4e03cae5cdc474dca13">inputCols</a> () const </td></tr>
<tr class="memdesc:a1b556b6b0798d4e03cae5cdc474dca13 inherit pub_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Return the number of columns of the input matrix. <a href="#a1b556b6b0798d4e03cae5cdc474dca13">More...</a><br/></td></tr>
<tr class="separator:a1b556b6b0798d4e03cae5cdc474dca13 inherit pub_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aae50028aba551ad3459335299794f8af inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#aae50028aba551ad3459335299794f8af">outputRows</a> () const </td></tr>
<tr class="memdesc:aae50028aba551ad3459335299794f8af inherit pub_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Return the number of rows of the output matrix. <a href="#aae50028aba551ad3459335299794f8af">More...</a><br/></td></tr>
<tr class="separator:aae50028aba551ad3459335299794f8af inherit pub_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a45fb012c3276a37a71805590ab3d75a8 inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a45fb012c3276a37a71805590ab3d75a8">outputCols</a> () const </td></tr>
<tr class="memdesc:a45fb012c3276a37a71805590ab3d75a8 inherit pub_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Return the number of columns of the output matrix. <a href="#a45fb012c3276a37a71805590ab3d75a8">More...</a><br/></td></tr>
<tr class="separator:a45fb012c3276a37a71805590ab3d75a8 inherit pub_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2dedc054a656a962e8556472aa767dbb inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a2dedc054a656a962e8556472aa767dbb">parameterSize</a> () const </td></tr>
<tr class="memdesc:a2dedc054a656a962e8556472aa767dbb inherit pub_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Return the number of parameters. <a href="#a2dedc054a656a962e8556472aa767dbb">More...</a><br/></td></tr>
<tr class="separator:a2dedc054a656a962e8556472aa767dbb inherit pub_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a71a1e75ebcf4d692cb9f0dcfeba1c1e4 inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">virtual bool </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a71a1e75ebcf4d692cb9f0dcfeba1c1e4">inversable</a> () const </td></tr>
<tr class="memdesc:a71a1e75ebcf4d692cb9f0dcfeba1c1e4 inherit pub_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Return whether this transformation is inversable or not. <a href="#a71a1e75ebcf4d692cb9f0dcfeba1c1e4">More...</a><br/></td></tr>
<tr class="separator:a71a1e75ebcf4d692cb9f0dcfeba1c1e4 inherit pub_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
Additional Inherited Members</h2></td></tr>
<tr class="inherit_header pro_methods_classmeow_1_1LinearTransformation"><td colspan="2" onclick="javascript:toggleInherit('pro_methods_classmeow_1_1LinearTransformation')"><img src="closed.png" alt="-"/> Protected Member Functions inherited from <a class="el" href="classmeow_1_1LinearTransformation.html">meow::LinearTransformation< Scalar ></a></td></tr>
<tr class="memitem:a2c5d98a8bf1dc09c9284d40db9534a6e inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1LinearTransformation.html#a2c5d98a8bf1dc09c9284d40db9534a6e">LinearTransformation</a> (size_t <a class="el" href="classmeow_1_1Transformation.html#a9c4d19fe8d95967596b06bc026bdf200">inputRows</a>, size_t <a class="el" href="classmeow_1_1Transformation.html#aae50028aba551ad3459335299794f8af">outputRows</a>, size_t psize)</td></tr>
<tr class="separator:a2c5d98a8bf1dc09c9284d40db9534a6e inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a799ed3fafc41010b87807b46e9b9c222 inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1LinearTransformation.html#a799ed3fafc41010b87807b46e9b9c222">LinearTransformation</a> (size_t <a class="el" href="classmeow_1_1Transformation.html#a9c4d19fe8d95967596b06bc026bdf200">inputRows</a>, size_t <a class="el" href="classmeow_1_1Transformation.html#aae50028aba551ad3459335299794f8af">outputRows</a>, size_t psize, <a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &m)</td></tr>
<tr class="separator:a799ed3fafc41010b87807b46e9b9c222 inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4d73d74510c76bdbe176a8d498be185e inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1LinearTransformation.html#a4d73d74510c76bdbe176a8d498be185e">LinearTransformation</a> (<a class="el" href="classmeow_1_1LinearTransformation.html">LinearTransformation</a> const &b)</td></tr>
<tr class="separator:a4d73d74510c76bdbe176a8d498be185e inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:afb3ea3e2653152b7b5a8bbad952d3f0e inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1LinearTransformation.html">LinearTransformation</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1LinearTransformation.html#afb3ea3e2653152b7b5a8bbad952d3f0e">copyFrom</a> (<a class="el" href="classmeow_1_1LinearTransformation.html">LinearTransformation</a> const &b)</td></tr>
<tr class="memdesc:afb3ea3e2653152b7b5a8bbad952d3f0e inherit pro_methods_classmeow_1_1LinearTransformation"><td class="mdescLeft"> </td><td class="mdescRight">Copy settings, matrix from another <a class="el" href="classmeow_1_1LinearTransformation.html" title="A base class for implementing kinds of linear transformations. ">LinearTransformation</a>. <a href="#afb3ea3e2653152b7b5a8bbad952d3f0e">More...</a><br/></td></tr>
<tr class="separator:afb3ea3e2653152b7b5a8bbad952d3f0e inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a573c034e179570f7a1c41f0c1de54c87 inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1LinearTransformation.html">LinearTransformation</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1LinearTransformation.html#a573c034e179570f7a1c41f0c1de54c87">referenceFrom</a> (<a class="el" href="classmeow_1_1LinearTransformation.html">LinearTransformation</a> const &b)</td></tr>
<tr class="memdesc:a573c034e179570f7a1c41f0c1de54c87 inherit pro_methods_classmeow_1_1LinearTransformation"><td class="mdescLeft"> </td><td class="mdescRight">Reference settings, matrix from another <a class="el" href="classmeow_1_1LinearTransformation.html" title="A base class for implementing kinds of linear transformations. ">LinearTransformation</a>. <a href="#a573c034e179570f7a1c41f0c1de54c87">More...</a><br/></td></tr>
<tr class="separator:a573c034e179570f7a1c41f0c1de54c87 inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1a22a48337340211bf0f052e52ff2139 inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1LinearTransformation.html#a1a22a48337340211bf0f052e52ff2139">matrix</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &m)</td></tr>
<tr class="memdesc:a1a22a48337340211bf0f052e52ff2139 inherit pro_methods_classmeow_1_1LinearTransformation"><td class="mdescLeft"> </td><td class="mdescRight">setup the matrix <a href="#a1a22a48337340211bf0f052e52ff2139">More...</a><br/></td></tr>
<tr class="separator:a1a22a48337340211bf0f052e52ff2139 inherit pro_methods_classmeow_1_1LinearTransformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="inherit_header pro_methods_classmeow_1_1Transformation"><td colspan="2" onclick="javascript:toggleInherit('pro_methods_classmeow_1_1Transformation')"><img src="closed.png" alt="-"/> Protected Member Functions inherited from <a class="el" href="classmeow_1_1Transformation.html">meow::Transformation< Scalar ></a></td></tr>
<tr class="memitem:a129b2465033d0f6c8f57e4ee36c52b6c inherit pro_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a129b2465033d0f6c8f57e4ee36c52b6c">Transformation</a> (size_t <a class="el" href="classmeow_1_1Transformation.html#a9c4d19fe8d95967596b06bc026bdf200">inputRows</a>, size_t <a class="el" href="classmeow_1_1Transformation.html#a1b556b6b0798d4e03cae5cdc474dca13">inputCols</a>, size_t <a class="el" href="classmeow_1_1Transformation.html#aae50028aba551ad3459335299794f8af">outputRows</a>, size_t <a class="el" href="classmeow_1_1Transformation.html#a45fb012c3276a37a71805590ab3d75a8">outputCols</a>, size_t psize)</td></tr>
<tr class="separator:a129b2465033d0f6c8f57e4ee36c52b6c inherit pro_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac457f3968b21842afa72344e34e7ada2 inherit pro_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#ac457f3968b21842afa72344e34e7ada2">Transformation</a> (<a class="el" href="classmeow_1_1Transformation.html">Transformation</a> const &b)</td></tr>
<tr class="separator:ac457f3968b21842afa72344e34e7ada2 inherit pro_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:abe781169171fa3b8206a91e166779d74 inherit pro_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Transformation.html">Transformation</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#abe781169171fa3b8206a91e166779d74">copyFrom</a> (<a class="el" href="classmeow_1_1Transformation.html">Transformation</a> const &b)</td></tr>
<tr class="memdesc:abe781169171fa3b8206a91e166779d74 inherit pro_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Copy from the specified one. <a href="#abe781169171fa3b8206a91e166779d74">More...</a><br/></td></tr>
<tr class="separator:abe781169171fa3b8206a91e166779d74 inherit pro_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9b6ec99d8363742f77c63a49ba9467b5 inherit pro_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1Transformation.html">Transformation</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a9b6ec99d8363742f77c63a49ba9467b5">referenceFrom</a> (<a class="el" href="classmeow_1_1Transformation.html">Transformation</a> const &b)</td></tr>
<tr class="memdesc:a9b6ec99d8363742f77c63a49ba9467b5 inherit pro_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">reference from the specified one <a href="#a9b6ec99d8363742f77c63a49ba9467b5">More...</a><br/></td></tr>
<tr class="separator:a9b6ec99d8363742f77c63a49ba9467b5 inherit pro_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><h3>template<class Scalar><br/>
class meow::Rotation3D< Scalar ></h3>
<p>Rotation a point/vector alone an axis with given angle in 3D world. </p>
<dl class="section author"><dt>Author</dt><dd>cat_leopard </dd></dl>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00020">20</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
<a class="anchor" id="a90c102c7f74e8a36ac0d24bef6b06337"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template<class Scalar> </div>
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<td class="memname"><a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::<a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a> </td>
<td>(</td>
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<p>Constructor with no rotation </p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00069">69</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a>< Scalar > const & </td>
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<p>Constructor and copy data </p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00075">75</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<p>Destructor </p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00082">82</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a>& <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::add </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a>< Scalar > const & </td>
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<p>Concat another rotation transformation. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">r</td><td>another rotation transformation </td></tr>
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</dd>
</dl>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00171">171</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname">void <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::axisAngle </td>
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<td class="paramtype">Scalar const & </td>
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<p>Setting. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">axis</td><td>axis </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">angle</td><td>angle </td></tr>
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<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00160">160</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a>& <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::copyFrom </td>
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<td class="paramtype"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a>< Scalar > const & </td>
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<p>Copy data. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>another <a class="el" href="classmeow_1_1Rotation3D.html" title="Rotation a point/vector alone an axis with given angle in 3D world. ">Rotation3D</a> class. </td></tr>
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<dl class="section return"><dt>Returns</dt><dd><code>*this</code> </dd></dl>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00091">91</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a><Scalar> <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::jacobian </td>
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<td class="paramtype"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const & </td>
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<p>Return the jacobian matrix (derivate by the input vector) of this transformate. </p>
<p>The matrix we return is: </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ \left[ \begin{array}{ccc} 2(n_x^2 - 1) \sin^2\phi + 1 & 2n_x n_y \sin^2\phi - 2n_z\cos \phi\sin \phi & 2n_x n_z \sin^2\phi + 2n_y\cos \phi\sin \phi \\ 2n_y n_x \sin^2\phi + 2n_z\cos \phi\sin \phi & 2(n_y^2 - 1) \sin^2\phi + 1 & 2n_y n_z \sin^2\phi - 2n_x\cos \phi\sin \phi \\ 2n_z n_x \sin^2\phi - 2n_y\cos \phi\sin \phi & 2n_z n_y \sin^2\phi + 2n_x\cos \phi\sin \phi & 2(n_z^2 - 1) \sin^2\phi + 1 \\ \end{array} \right] \]" src="form_9.png"/>
</p>
<p> Where the definition of <img class="formulaInl" alt="$ \vec{n} $" src="form_7.png"/> and <img class="formulaInl" alt="$ \phi $" src="form_4.png"/> is the same as the definition in the description of the method <b><a class="el" href="classmeow_1_1Rotation3D.html#a566ebd46881ef0165aab55a4cf4ca169" title="Do the transformate. ">transformate()</a></b> .</p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>the input vector (in this case it is a useless parameter) </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>a matrix </dd></dl>
<p>Reimplemented from <a class="el" href="classmeow_1_1Transformation.html#a97b459877b4e508193071fa166a126c9">meow::Transformation< Scalar ></a>.</p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00243">243</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<p>Return the jacobian matrix of this transformate. </p>
<p>Here we need to discussion in three case:</p>
<ul>
<li><em>i</em> = 0, derivate by the x axis of the vector theta <p class="formulaDsp">
<img class="formulaDsp" alt="\[ \left[ \begin{array}{ccc} 0 & 0 & 0 \\ 0 & 0 & -1 \\ 0 & 1 & 0 \\ \end{array} \right] \left[ \begin{array}{ccc} 2(n_x^2 - 1) \sin^2\phi + 1 & 2n_x n_y \sin^2\phi - 2n_z\cos \phi\sin \phi & 2n_x n_z \sin^2\phi + 2n_y\cos \phi\sin \phi \\ 2n_y n_x \sin^2\phi + 2n_z\cos \phi\sin \phi & 2(n_y^2 - 1) \sin^2\phi + 1 & 2n_y n_z \sin^2\phi - 2n_x\cos \phi\sin \phi \\ 2n_z n_x \sin^2\phi - 2n_y\cos \phi\sin \phi & 2n_z n_y \sin^2\phi + 2n_x\cos \phi\sin \phi & 2(n_z^2 - 1) \sin^2\phi + 1 \\ \end{array} \right] \left[ \begin{array}{c} x \\ y \\ z \\ \end{array} \right] \]" src="form_10.png"/>
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<li><em>i</em> = 1, derivate by the y axis of the vector theta <p class="formulaDsp">
<img class="formulaDsp" alt="\[ \left[ \begin{array}{ccc} 0 & 0 & 1 \\ 0 & 0 & 0 \\ -1 & 0 & 0 \\ \end{array} \right] \left[ \begin{array}{ccc} 2(n_x^2 - 1) \sin^2\phi + 1 & 2n_x n_y \sin^2\phi - 2n_z\cos \phi\sin \phi & 2n_x n_z \sin^2\phi + 2n_y\cos \phi\sin \phi \\ 2n_y n_x \sin^2\phi + 2n_z\cos \phi\sin \phi & 2(n_y^2 - 1) \sin^2\phi + 1 & 2n_y n_z \sin^2\phi - 2n_x\cos \phi\sin \phi \\ 2n_z n_x \sin^2\phi - 2n_y\cos \phi\sin \phi & 2n_z n_y \sin^2\phi + 2n_x\cos \phi\sin \phi & 2(n_z^2 - 1) \sin^2\phi + 1 \\ \end{array} \right] \left[ \begin{array}{c} x \\ y \\ z \\ \end{array} \right] \]" src="form_11.png"/>
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</li>
<li><em>i</em> = 2, derivate by the z axis of the vector theta <p class="formulaDsp">
<img class="formulaDsp" alt="\[ \left[ \begin{array}{ccc} 0 & -1 & 0 \\ 1 & 0 & 0 \\ 0 & 0 & 0 \\ \end{array} \right] \left[ \begin{array}{ccc} 2(n_x^2 - 1) \sin^2\phi + 1 & 2n_x n_y \sin^2\phi - 2n_z\cos \phi\sin \phi & 2n_x n_z \sin^2\phi + 2n_y\cos \phi\sin \phi \\ 2n_y n_x \sin^2\phi + 2n_z\cos \phi\sin \phi & 2(n_y^2 - 1) \sin^2\phi + 1 & 2n_y n_z \sin^2\phi - 2n_x\cos \phi\sin \phi \\ 2n_z n_x \sin^2\phi - 2n_y\cos \phi\sin \phi & 2n_z n_y \sin^2\phi + 2n_x\cos \phi\sin \phi & 2(n_z^2 - 1) \sin^2\phi + 1 \\ \end{array} \right] \left[ \begin{array}{c} x \\ y \\ z \\ \end{array} \right] \]" src="form_12.png"/>
</p>
</li>
</ul>
<p>Where <img class="formulaInl" alt="$ (x,y,z) $" src="form_13.png"/> is the input vector, <img class="formulaInl" alt="$ \vec{n}, \phi $" src="form_14.png"/> is the same one in the description of <b><a class="el" href="classmeow_1_1Rotation3D.html#a566ebd46881ef0165aab55a4cf4ca169" title="Do the transformate. ">transformate()</a></b>.</p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>the index of the parameters(theta) to dervite </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>a matrix </dd></dl>
<p>Reimplemented from <a class="el" href="classmeow_1_1Transformation.html#a18590a4501b79a9ad38eb8fa3c966eb8">meow::Transformation< Scalar ></a>.</p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00320">320</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<p>Return the jacobian matrix of the inverse form of this transformate. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>the input vector </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>a matrix </dd></dl>
<p>Reimplemented from <a class="el" href="classmeow_1_1Transformation.html#a0186764bb80869bd80b81efb5bb1ee95">meow::Transformation< Scalar ></a>.</p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00354">354</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<p>Return the jacobian matrix of the inverse form of this transformate. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>the input vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>the index of the parameters(theta) to dervite </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>a matrix </dd></dl>
<p>Reimplemented from <a class="el" href="classmeow_1_1Transformation.html#a4e7e3b24d0879eddc53951dfb357db0b">meow::Transformation< Scalar ></a>.</p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00365">365</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<p>Return the inverse matrix. </p>
<p>In this case, the inverse matrix is equal to the transpose of the matrix</p>
<dl class="section return"><dt>Returns</dt><dd>a matrix </dd></dl>
<p>Reimplemented from <a class="el" href="classmeow_1_1LinearTransformation.html#a60ead2898f321c5d77d099e1dc3e103c">meow::LinearTransformation< Scalar ></a>.</p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00391">391</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a>& <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::operator= </td>
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<p>same as <code>copyFrom(b)</code> </p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00397">397</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname">Scalar <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::parameter </td>
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<td class="paramtype">size_t </td>
<td class="paramname"><em>i</em></td><td>)</td>
<td> const</td>
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<p>same as <code>theta(i)</code> </p>
<p>Implements <a class="el" href="classmeow_1_1Transformation.html#a09e71e5af508d7c0e09fdbeaacbe4365">meow::Transformation< Scalar ></a>.</p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00112">112</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname">Scalar <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::parameter </td>
<td>(</td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>i</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">Scalar const & </td>
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<p>same as <code>theta(i, s)</code> </p>
<p>Implements <a class="el" href="classmeow_1_1Transformation.html#a2a90b93490712232b81a628b5057526f">meow::Transformation< Scalar ></a>.</p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00119">119</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a>& <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::referenceFrom </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1Rotation3D.html">Rotation3D</a>< Scalar > const & </td>
<td class="paramname"><em>b</em></td><td>)</td>
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<p>Reference data. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>another <a class="el" href="classmeow_1_1Rotation3D.html" title="Rotation a point/vector alone an axis with given angle in 3D world. ">Rotation3D</a> class. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd><code>*this</code> </dd></dl>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00103">103</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname">Scalar const& <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::theta </td>
<td>(</td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>i</em></td><td>)</td>
<td> const</td>
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<p>Get the <code>i</code> -th theta. </p>
<p><code>i</code> can only be 1, 2 or 3</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>index </td></tr>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>i</code> -th theta </dd></dl>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00131">131</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname">Scalar const& <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::theta </td>
<td>(</td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>i</em>, </td>
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<td class="paramkey"></td>
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<td class="paramname"><em>s</em> </td>
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<p>Set the <code>i</code> -th theta. </p>
<p><code>i</code> can only be 1, 2 or 3</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>index </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">s</td><td>new theta value </td></tr>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>i</code> -th theta </dd></dl>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00144">144</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a><Scalar> <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::transformate </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const & </td>
<td class="paramname"><em>x</em></td><td>)</td>
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<p>Do the transformate. </p>
<p>Assume:</p>
<ul>
<li>The input vector is <img class="formulaInl" alt="$ (x ,y ,z ) $" src="form_0.png"/></li>
<li>The output vector is <img class="formulaInl" alt="$ (x',y',z') $" src="form_1.png"/></li>
<li>The parameters theta is <img class="formulaInl" alt="$ \vec{\theta}=(\theta_x,\theta_y,\theta_z) $" src="form_2.png"/></li>
</ul>
<p>Then we have: </p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ \left[ \begin{array}{c} x' \\ y' \\ z' \\ \end{array} \right] = \left[ \begin{array}{ccc} 2(n_x^2 - 1) \sin^2\phi + 1 & 2n_x n_y \sin^2\phi - 2n_z\cos \phi\sin \phi & 2n_x n_z \sin^2\phi + 2n_y\cos \phi\sin \phi \\ 2n_y n_x \sin^2\phi + 2n_z\cos \phi\sin \phi & 2(n_y^2 - 1) \sin^2\phi + 1 & 2n_y n_z \sin^2\phi - 2n_x\cos \phi\sin \phi \\ 2n_z n_x \sin^2\phi - 2n_y\cos \phi\sin \phi & 2n_z n_y \sin^2\phi + 2n_x\cos \phi\sin \phi & 2(n_z^2 - 1) \sin^2\phi + 1 \\ \end{array} \right] \left[ \begin{array}{c} x \\ y \\ z \\ \end{array} \right] \]" src="form_3.png"/>
</p>
<p> Where:</p>
<ul>
<li><img class="formulaInl" alt="$ \phi $" src="form_4.png"/> is the helf of length of <img class="formulaInl" alt="$ \vec{\theta} $" src="form_5.png"/> , which means <img class="formulaInl" alt="$ \phi = \frac{\left|\vec{\theta}\right|}{2} = \frac{1}{2}\sqrt{\theta_x^2 + \theta_y^2 + \theta_z^2} $" src="form_6.png"/></li>
<li><img class="formulaInl" alt="$ \vec{n} $" src="form_7.png"/> is the normalized form of <img class="formulaInl" alt="$ \vec{\theta} $" src="form_5.png"/> , which means <img class="formulaInl" alt="$ \vec{n} = (n_x,n_y,n_z) = \vec{\theta} / 2\phi $" src="form_8.png"/></li>
</ul>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>the input vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the output matrix </dd></dl>
<p>Implements <a class="el" href="classmeow_1_1Transformation.html#aa0c299b9ad13020a9eb460de01378ddc">meow::Transformation< Scalar ></a>.</p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00213">213</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<td class="memname"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a><Scalar> <a class="el" href="classmeow_1_1Rotation3D.html">meow::Rotation3D</a>< Scalar >::transformateInv </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const & </td>
<td class="paramname"><em>x</em></td><td>)</td>
<td> const</td>
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<p>Do the inverse transformate. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">x</td><td>the input vector </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the output vector </dd></dl>
<p>Reimplemented from <a class="el" href="classmeow_1_1Transformation.html#aa9a476c677e7efc805c0fbdccfb48b38">meow::Transformation< Scalar ></a>.</p>
<p>Definition at line <a class="el" href="LinearTransformations_8h_source.html#l00344">344</a> of file <a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a>.</p>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>meowpp/math/<a class="el" href="LinearTransformations_8h_source.html">LinearTransformations.h</a></li>
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