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 <span id="projectnumber">1.1.2</span>
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<div class="title">meow::BallProjection< Scalar > Class Template Reference</div> </div>
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<p>A ball projection is to project the given vector to a hyper-sphere.
<a href="classmeow_1_1BallProjection.html#details">More...</a></p>
<p><code>#include "<a class="el" href="Transformations_8h_source.html">Transformations.h</a>"</code></p>
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Inheritance diagram for meow::BallProjection< 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:a1efa5c200a9d5605453b47e3856ccf28"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#a1efa5c200a9d5605453b47e3856ccf28">BallProjection</a> (<a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> const &b)</td></tr>
<tr class="separator:a1efa5c200a9d5605453b47e3856ccf28"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:af7e722b66c6bbc7245726902b6849850"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#af7e722b66c6bbc7245726902b6849850">BallProjection</a> (size_t d)</td></tr>
<tr class="separator:af7e722b66c6bbc7245726902b6849850"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a9d9d151e138e50c2bb4cd3d039fb0808"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#a9d9d151e138e50c2bb4cd3d039fb0808">BallProjection</a> (size_t d, Scalar const &r)</td></tr>
<tr class="separator:a9d9d151e138e50c2bb4cd3d039fb0808"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aec71a15af880bdaea8042986c11e2187"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#aec71a15af880bdaea8042986c11e2187">copyFrom</a> (<a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> const &b)</td></tr>
<tr class="memdesc:aec71a15af880bdaea8042986c11e2187"><td class="mdescLeft"> </td><td class="mdescRight">Copy settings from another one. <a href="#aec71a15af880bdaea8042986c11e2187">More...</a><br/></td></tr>
<tr class="separator:aec71a15af880bdaea8042986c11e2187"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:adaf8d494c1177664f49bb63a5d2f36b0"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#adaf8d494c1177664f49bb63a5d2f36b0">referenceFrom</a> (<a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> const &b)</td></tr>
<tr class="memdesc:adaf8d494c1177664f49bb63a5d2f36b0"><td class="mdescLeft"> </td><td class="mdescRight">Reference settings from another one. <a href="#adaf8d494c1177664f49bb63a5d2f36b0">More...</a><br/></td></tr>
<tr class="separator:adaf8d494c1177664f49bb63a5d2f36b0"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:adf2bcb2f82e9f7e2136b187317ba3211"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#adf2bcb2f82e9f7e2136b187317ba3211">parameter</a> (size_t i) const </td></tr>
<tr class="memdesc:adf2bcb2f82e9f7e2136b187317ba3211"><td class="mdescLeft"> </td><td class="mdescRight">same as <code><a class="el" href="classmeow_1_1BallProjection.html#a82416bac8768d0f40fc09e8cd3896bc8" title="Return the value of the radius.">radius()</a></code> <a href="#adf2bcb2f82e9f7e2136b187317ba3211">More...</a><br/></td></tr>
<tr class="separator:adf2bcb2f82e9f7e2136b187317ba3211"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a288814dc861482dd70129a698b1a2d7e"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#a288814dc861482dd70129a698b1a2d7e">parameter</a> (size_t i, Scalar const &s)</td></tr>
<tr class="memdesc:a288814dc861482dd70129a698b1a2d7e"><td class="mdescLeft"> </td><td class="mdescRight">same as <code>radius(s)</code> <a href="#a288814dc861482dd70129a698b1a2d7e">More...</a><br/></td></tr>
<tr class="separator:a288814dc861482dd70129a698b1a2d7e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a82416bac8768d0f40fc09e8cd3896bc8"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#a82416bac8768d0f40fc09e8cd3896bc8">radius</a> () const </td></tr>
<tr class="memdesc:a82416bac8768d0f40fc09e8cd3896bc8"><td class="mdescLeft"> </td><td class="mdescRight">Return the value of the radius. <a href="#a82416bac8768d0f40fc09e8cd3896bc8">More...</a><br/></td></tr>
<tr class="separator:a82416bac8768d0f40fc09e8cd3896bc8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a5e4bbc9cf477002fab2dad6f37e2553c"><td class="memItemLeft" align="right" valign="top">Scalar </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#a5e4bbc9cf477002fab2dad6f37e2553c">radius</a> (Scalar const &r)</td></tr>
<tr class="memdesc:a5e4bbc9cf477002fab2dad6f37e2553c"><td class="mdescLeft"> </td><td class="mdescRight">Setup the radius. <a href="#a5e4bbc9cf477002fab2dad6f37e2553c">More...</a><br/></td></tr>
<tr class="separator:a5e4bbc9cf477002fab2dad6f37e2553c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3eff2f36a83ba683da6bc9bb82699b30"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#a3eff2f36a83ba683da6bc9bb82699b30">dimension</a> () const </td></tr>
<tr class="memdesc:a3eff2f36a83ba683da6bc9bb82699b30"><td class="mdescLeft"> </td><td class="mdescRight">Get the dimension of this projection. <a href="#a3eff2f36a83ba683da6bc9bb82699b30">More...</a><br/></td></tr>
<tr class="separator:a3eff2f36a83ba683da6bc9bb82699b30"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2573c364dd1e0d7de32b1e2afc0bb1b5"><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_1BallProjection.html#a2573c364dd1e0d7de32b1e2afc0bb1b5">transformate</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x) const </td></tr>
<tr class="memdesc:a2573c364dd1e0d7de32b1e2afc0bb1b5"><td class="mdescLeft"> </td><td class="mdescRight">Project the input vector(s) onto the hyper-sphere and return it. <a href="#a2573c364dd1e0d7de32b1e2afc0bb1b5">More...</a><br/></td></tr>
<tr class="separator:a2573c364dd1e0d7de32b1e2afc0bb1b5"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4fb7773f5566e93435ba56defbb7efc6"><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_1BallProjection.html#a4fb7773f5566e93435ba56defbb7efc6">jacobian</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x) const </td></tr>
<tr class="memdesc:a4fb7773f5566e93435ba56defbb7efc6"><td class="mdescLeft"> </td><td class="mdescRight">Return the jacobian matrix (derivate by the input vector) of this projection. <a href="#a4fb7773f5566e93435ba56defbb7efc6">More...</a><br/></td></tr>
<tr class="separator:a4fb7773f5566e93435ba56defbb7efc6"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ad2d62da97dd4b527c254e62a1ec949d8"><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_1BallProjection.html#ad2d62da97dd4b527c254e62a1ec949d8">jacobian</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x, size_t i) const </td></tr>
<tr class="memdesc:ad2d62da97dd4b527c254e62a1ec949d8"><td class="mdescLeft"> </td><td class="mdescRight">Return the jacobian matrix (derivate by radius) of this projection. <a href="#ad2d62da97dd4b527c254e62a1ec949d8">More...</a><br/></td></tr>
<tr class="separator:ad2d62da97dd4b527c254e62a1ec949d8"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8e7e0ddd31c51bbaa934f77aee760f18"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1BallProjection.html#a8e7e0ddd31c51bbaa934f77aee760f18">operator=</a> (<a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> const &b)</td></tr>
<tr class="memdesc:a8e7e0ddd31c51bbaa934f77aee760f18"><td class="mdescLeft"> </td><td class="mdescRight">Same as <code>copyFrom(b)</code> <a href="#a8e7e0ddd31c51bbaa934f77aee760f18">More...</a><br/></td></tr>
<tr class="separator:a8e7e0ddd31c51bbaa934f77aee760f18"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4f2e133f911088b7e13cabc52b3e6b92"><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_1BallProjection.html#a4f2e133f911088b7e13cabc52b3e6b92">operator()</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &v) const </td></tr>
<tr class="memdesc:a4f2e133f911088b7e13cabc52b3e6b92"><td class="mdescLeft"> </td><td class="mdescRight">Same as <code>transformate(v)</code> <a href="#a4f2e133f911088b7e13cabc52b3e6b92">More...</a><br/></td></tr>
<tr class="separator:a4f2e133f911088b7e13cabc52b3e6b92"><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>
<tr class="memitem:aa9a476c677e7efc805c0fbdccfb48b38 inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#aa9a476c677e7efc805c0fbdccfb48b38">transformateInv</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x) const </td></tr>
<tr class="memdesc:aa9a476c677e7efc805c0fbdccfb48b38 inherit pub_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Do the inverse transformation. <a href="#aa9a476c677e7efc805c0fbdccfb48b38">More...</a><br/></td></tr>
<tr class="separator:aa9a476c677e7efc805c0fbdccfb48b38 inherit pub_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a0186764bb80869bd80b81efb5bb1ee95 inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a0186764bb80869bd80b81efb5bb1ee95">jacobianInv</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x) const </td></tr>
<tr class="memdesc:a0186764bb80869bd80b81efb5bb1ee95 inherit pub_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Return the jacobian matrix of the inverse transformation. <a href="#a0186764bb80869bd80b81efb5bb1ee95">More...</a><br/></td></tr>
<tr class="separator:a0186764bb80869bd80b81efb5bb1ee95 inherit pub_methods_classmeow_1_1Transformation"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a4e7e3b24d0879eddc53951dfb357db0b inherit pub_methods_classmeow_1_1Transformation"><td class="memItemLeft" align="right" valign="top">virtual <a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > </td><td class="memItemRight" valign="bottom"><a class="el" href="classmeow_1_1Transformation.html#a4e7e3b24d0879eddc53951dfb357db0b">jacobianInv</a> (<a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const &x, size_t i) const </td></tr>
<tr class="memdesc:a4e7e3b24d0879eddc53951dfb357db0b inherit pub_methods_classmeow_1_1Transformation"><td class="mdescLeft"> </td><td class="mdescRight">Return the jacobian matrix of the inverse transformation. <a href="#a4e7e3b24d0879eddc53951dfb357db0b">More...</a><br/></td></tr>
<tr class="separator:a4e7e3b24d0879eddc53951dfb357db0b 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_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">Ceference 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::BallProjection< Scalar ></h3>
<p>A ball projection is to project the given vector to a hyper-sphere. </p>
<p>Assume:</p>
<ul>
<li>The dimension of a ball projection is <img class="formulaInl" alt="$ N $" src="form_15.png"/></li>
<li>The radius of the hyper-sphere is <img class="formulaInl" alt="$ R $" src="form_38.png"/></li>
</ul>
<p>Then the transformation is like below: <br/>
</p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ \left[ \begin{array}{c} x_1 \\ x_2 \\ x_3 \\ . \\ . \\ . \\ x_N \\ \end{array} \right] \stackrel{transformate}{\rightarrow} \left[ \begin{array}{c} \frac{x_1 \times R}{L} \\ \frac{x_2 \times R}{L} \\ \frac{x_3 \times R}{L} \\ . \\ . \\ . \\ \frac{x_N \times R}{L} \\ \end{array} \right] \\ \]" src="form_39.png"/>
</p>
<p> where <img class="formulaInl" alt="$ L=\sqrt{x_1^2 + x_2^2 + x_3^2 + ... + x_N^2 } $" src="form_40.png"/> </p>
<dl class="section author"><dt>Author</dt><dd>cat_leopard </dd></dl>
</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
<a class="anchor" id="a1efa5c200a9d5605453b47e3856ccf28"></a>
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<td class="memname"><a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::<a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a>< Scalar > const & </td>
<td class="paramname"><em>b</em></td><td>)</td>
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<p>Constructor, copy settings from given <a class="el" href="classmeow_1_1BallProjection.html" title="A ball projection is to project the given vector to a hyper-sphere.">BallProjection</a> </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>another ball projection class </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<a class="anchor" id="af7e722b66c6bbc7245726902b6849850"></a>
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template<class Scalar > </div>
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<td class="memname"><a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::<a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> </td>
<td>(</td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>d</em></td><td>)</td>
<td></td>
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</td>
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<p>Constructor and setup, radius = 1 </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">d</td><td>Dimension of the input/output vector </td></tr>
</table>
</dd>
</dl>
</div>
</div>
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<td class="memname"><a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::<a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a> </td>
<td>(</td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>d</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Scalar const & </td>
<td class="paramname"><em>r</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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<p>Constructor and setup </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">d</td><td>Dimension of the input/output vector </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">r</td><td>Radius of the hyper-sphere </td></tr>
</table>
</dd>
</dl>
</div>
</div>
<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a>& <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::copyFrom </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a>< Scalar > const & </td>
<td class="paramname"><em>b</em></td><td>)</td>
<td></td>
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<p>Copy settings from another one. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>Another one </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>*this</code> </dd></dl>
</div>
</div>
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<td class="memname">size_t <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::dimension </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
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<p>Get the dimension of this projection. </p>
</div>
</div>
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<td class="memname"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a><Scalar> <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::jacobian </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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</table>
</td>
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<p>Return the jacobian matrix (derivate by the input vector) of this projection. </p>
<p>This method only allow a vector-like matrix be input. Assume:</p>
<ul>
<li>The dimension of a ball projection is <img class="formulaInl" alt="$ N $" src="form_15.png"/></li>
<li>The length of the input vector is <img class="formulaInl" alt="$ L=\sqrt{x_1^2+x_2^2+...+x_N^2} $" src="form_45.png"/></li>
<li>The radius of the hyper-sphere is <img class="formulaInl" alt="$ R $" src="form_38.png"/></li>
</ul>
<p>Then the jacobian matrix is like below: <br/>
</p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ \frac{R}{L^3} \times \left[ \begin{array}{ccccc} L^2-x_1^2 & -x_1x_2 & -x_1x_3 & ... & -x_1x_N \\ -x_2x_1 & L^2-x_2^2 & -x_2x_3 & ... & -x_2x_N \\ -x_3x_1 & -x_3x_2 & L^2-x_3^2 & ... & -x_3x_N \\ . & . & . & & . \\ . & . & . & & . \\ . & . & . & & . \\ -x_Nx_1 & -x_Nx_2 & -x_Nx_3 & ... & L^2-x_N^2 \\ \end{array} \right] \]" src="form_46.png"/>
</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 matrix. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The output matrix. </dd></dl>
<p>Reimplemented from <a class="el" href="classmeow_1_1Transformation.html#a97b459877b4e508193071fa166a126c9">meow::Transformation< Scalar ></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_1BallProjection.html">meow::BallProjection</a>< Scalar >::jacobian </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>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>i</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
</tr>
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<p>Return the jacobian matrix (derivate by radius) of this projection. </p>
<p>This method only allow a vector-like matrix be input. Assume:</p>
<ul>
<li>The dimension of a ball projection is <img class="formulaInl" alt="$ N $" src="form_15.png"/></li>
<li>The length of the input vector is <img class="formulaInl" alt="$ L=\sqrt{x_1^2+x_2^2+...+x_N^2} $" src="form_45.png"/></li>
<li>The radius of the hyper-sphere is <img class="formulaInl" alt="$ R $" src="form_38.png"/></li>
</ul>
<p>Then the jacobian matrix is like below: <br/>
</p>
<p class="formulaDsp">
<img class="formulaDsp" alt="\[ R \times \left[ \begin{array}{c} \frac{x_1}{L} \\ \frac{x_2}{L} \\ \frac{x_3}{L} \\ . \\ . \\ . \\ \frac{x_N}{L} \\ \end{array} \right] \]" src="form_47.png"/>
</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 matrix. </td></tr>
<tr><td class="paramdir">[in]</td><td class="paramname">i</td><td>Useless parameter </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The output matrix. </dd></dl>
<p>Reimplemented from <a class="el" href="classmeow_1_1Transformation.html#a18590a4501b79a9ad38eb8fa3c966eb8">meow::Transformation< Scalar ></a>.</p>
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template<class Scalar > </div>
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<td class="memname"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a><Scalar> <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::operator() </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a>< Scalar > const & </td>
<td class="paramname"><em>v</em></td><td>)</td>
<td> const</td>
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<p>Same as <code>transformate(v)</code> </p>
</div>
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<a class="anchor" id="a8e7e0ddd31c51bbaa934f77aee760f18"></a>
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template<class Scalar > </div>
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<td class="memname"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a>& <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::operator= </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a>< Scalar > const & </td>
<td class="paramname"><em>b</em></td><td>)</td>
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<p>Same as <code>copyFrom(b)</code> </p>
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<td class="memname">Scalar <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::parameter </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>same as <code><a class="el" href="classmeow_1_1BallProjection.html#a82416bac8768d0f40fc09e8cd3896bc8" title="Return the value of the radius.">radius()</a></code> </p>
<p>Implements <a class="el" href="classmeow_1_1Transformation.html#a09e71e5af508d7c0e09fdbeaacbe4365">meow::Transformation< Scalar ></a>.</p>
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<td class="memname">Scalar <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::parameter </td>
<td>(</td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>i</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">Scalar const & </td>
<td class="paramname"><em>s</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>same as <code>radius(s)</code> </p>
<p>Implements <a class="el" href="classmeow_1_1Transformation.html#a2a90b93490712232b81a628b5057526f">meow::Transformation< Scalar ></a>.</p>
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template<class Scalar > </div>
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<td class="memname">Scalar <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::radius </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td> const</td>
</tr>
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<p>Return the value of the radius. </p>
</div>
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template<class Scalar > </div>
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<td class="memname">Scalar <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::radius </td>
<td>(</td>
<td class="paramtype">Scalar const & </td>
<td class="paramname"><em>r</em></td><td>)</td>
<td></td>
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<p>Setup the radius. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">r</td><td>New value of the radius </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>New radius </dd></dl>
</div>
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<a class="anchor" id="adaf8d494c1177664f49bb63a5d2f36b0"></a>
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template<class Scalar > </div>
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<td class="memname"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a>& <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</a>< Scalar >::referenceFrom </td>
<td>(</td>
<td class="paramtype"><a class="el" href="classmeow_1_1BallProjection.html">BallProjection</a>< Scalar > const & </td>
<td class="paramname"><em>b</em></td><td>)</td>
<td></td>
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<p>Reference settings from another one. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir">[in]</td><td class="paramname">b</td><td>Another one </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>*this</code> </dd></dl>
</div>
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<a class="anchor" id="a2573c364dd1e0d7de32b1e2afc0bb1b5"></a>
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<td class="memname"><a class="el" href="classmeow_1_1Matrix.html">Matrix</a><Scalar> <a class="el" href="classmeow_1_1BallProjection.html">meow::BallProjection</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>
<td> const</td>
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<p>Project the input vector(s) onto the hyper-sphere and return it. </p>
<p>If the number of columns of the input matrix is larger than 1, this method will think that you want to transform multiple vector once and the number of columns of the output matrix will be the same of the number of columns of the input one.</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 matrix. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The output matrix. </dd></dl>
<dl class="section note"><dt>Note</dt><dd>Take into account that too much safty checking will lead to inefficient, this method will not checking whether the dimension of the input vector/matrix is right. So be sure the data is valid before you call this method. </dd></dl>
<p>Implements <a class="el" href="classmeow_1_1Transformation.html#aa0c299b9ad13020a9eb460de01378ddc">meow::Transformation< Scalar ></a>.</p>
</div>
</div>
<hr/>The documentation for this class was generated from the following file:<ul>
<li>meowpp/math/<a class="el" href="Transformations_8h_source.html">Transformations.h</a></li>
</ul>
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