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<h1>DataRepresentation/Mesh/PointSetWithVectors.cxx</h1><div class="fragment"><pre class="fragment"><span class="comment">/*=========================================================================</span>
<span class="comment"></span>
<span class="comment">  Program:   Insight Segmentation &amp; Registration Toolkit</span>
<span class="comment">  Module:    $RCSfile: PointSetWithVectors.cxx,v $</span>
<span class="comment">  Language:  C++</span>
<span class="comment">  Date:      $Date: 2005-11-19 16:31:49 $</span>
<span class="comment">  Version:   $Revision: 1.17 $</span>
<span class="comment"></span>
<span class="comment">  Copyright (c) Insight Software Consortium. All rights reserved.</span>
<span class="comment">  See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details.</span>
<span class="comment"></span>
<span class="comment">     This software is distributed WITHOUT ANY WARRANTY; without even </span>
<span class="comment">     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR </span>
<span class="comment">     PURPOSE.  See the above copyright notices for more information.</span>
<span class="comment"></span>
<span class="comment">=========================================================================*/</span>
<span class="preprocessor">#if defined(_MSC_VER)</span>
<span class="preprocessor"></span><span class="preprocessor">#pragma warning ( disable : 4786 )</span>
<span class="preprocessor"></span><span class="preprocessor">#endif</span>
<span class="preprocessor"></span>
<span class="comment">//  Software Guide : BeginLatex</span>
<span class="comment">//</span>
<span class="comment">//  This example illustrates how a point set can be parameterized to manage a</span>
<span class="comment">//  particular pixel type. It is quite common to associate vector values with</span>
<span class="comment">//  points for producing geometric representations.  The following code shows</span>
<span class="comment">//  how vector values can be used as pixel type on the PointSet class.  The</span>
<span class="comment">//  \doxygen{Vector} class is used here as the pixel type. This class is</span>
<span class="comment">//  appropriate for representing the relative position between two points. It</span>
<span class="comment">//  could then be used to manage displacements, for example.</span>
<span class="comment">//  </span>
<span class="comment">//  \index{itk::PointSet!Vector pixels}</span>
<span class="comment">//  </span>
<span class="comment">//  In order to use the vector class it is necessary to include its header file</span>
<span class="comment">//  along with the header of the point set.</span>
<span class="comment">//</span>
<span class="comment">//  Software Guide : EndLatex </span>

<span class="comment">// Software Guide : BeginCodeSnippet</span>
<span class="preprocessor">#include "<a class="code" href="itkVector_8h.html">itkVector.h</a>"</span>
<span class="preprocessor">#include "<a class="code" href="itkPointSet_8h.html">itkPointSet.h</a>"</span>
<span class="comment">// Software Guide : EndCodeSnippet</span>


<span class="keywordtype">int</span> <a name="a0"></a><a class="code" href="itkTestMain_8h.html#dacbe0175a79dff748855d8c9839f82b">main</a>(<span class="keywordtype">int</span>, <span class="keywordtype">char</span> *[])
{
  <span class="comment">//  Software Guide : BeginLatex</span>
  <span class="comment">//</span>
  <span class="comment">//  \itkpiccaption[PointSet with Vectors as PixelType]{Vectors as PixelType.\label{fig:PointSetWithVectors}}</span>
  <span class="comment">//  \parpic(6cm,4cm)[r]{\includegraphics[width=4cm]{PointSetWithVectors.eps}}</span>
  <span class="comment">//</span>
  <span class="comment">//  The Vector class is templated over the type used to represent</span>
  <span class="comment">//  the spatial coordinates and over the space dimension.  Since the</span>
  <span class="comment">//  PixelType is independent of the PointType, we are free to select any</span>
  <span class="comment">//  dimension for the vectors to be used as pixel type. However, for the</span>
  <span class="comment">//  sake of producing an interesting example, we will use vectors that </span>
  <span class="comment">//  represent displacements of the points in the PointSet. Those vectors</span>
  <span class="comment">//  are then selected to be of the same dimension as the PointSet.</span>
  <span class="comment">//</span>
  <span class="comment">//  \index{itk::Vector!itk::PointSet}</span>
  <span class="comment">//</span>
  <span class="comment">//  Software Guide : EndLatex </span>

  <span class="comment">// Software Guide : BeginCodeSnippet</span>
  <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Dimension = 3;
  <span class="keyword">typedef</span> <a name="_a1"></a><a class="code" href="classitk_1_1Vector.html" title="A templated class holding a n-Dimensional vector.">itk::Vector&lt; float, Dimension &gt;</a>    PixelType;
  <span class="comment">// Software Guide : EndCodeSnippet</span>


  <span class="comment">//  Software Guide : BeginLatex</span>
  <span class="comment">//</span>
  <span class="comment">//  Then we use the PixelType (which are actually Vectors) to instantiate the</span>
  <span class="comment">//  PointSet type and subsequently create a PointSet object.</span>
  <span class="comment">//</span>
  <span class="comment">//  Software Guide : EndLatex </span>

  <span class="comment">// Software Guide : BeginCodeSnippet</span>
  <span class="keyword">typedef</span> <a name="_a2"></a><a class="code" href="classitk_1_1PointSet.html" title="A superclass of the N-dimensional mesh structure; supports point (geometric coordinate...">itk::PointSet&lt; PixelType, Dimension &gt;</a> PointSetType;
  <a name="a3"></a><a class="code" href="itkFEMMacro_8h.html#539cce1a3282ba59952dedcbf9cdb23f">PointSetType::Pointer</a>  pointSet = <a name="a4"></a><a class="code" href="namespaceHardConnectedComponentImageFilter.html#870262f145e0b45206db74df8053b59c">PointSetType::New</a>();
  <span class="comment">// Software Guide : EndCodeSnippet</span>


  <span class="comment">//  Software Guide : BeginLatex</span>
  <span class="comment">//</span>
  <span class="comment">//  The following code is generating a sphere and assigning vector values</span>
  <span class="comment">//  to the points. The components of the vectors in this example are</span>
  <span class="comment">//  computed to represent the tangents to the circle as shown in</span>
  <span class="comment">//  Figure~\ref{fig:PointSetWithVectors}.</span>
  <span class="comment">//</span>
  <span class="comment">//  \index{itk::PointSet!SetPoint()}</span>
  <span class="comment">//  \index{itk::PointSet!SetPointData()}</span>
  <span class="comment">//</span>
  <span class="comment">//  Software Guide : EndLatex </span>

  <span class="comment">// Software Guide : BeginCodeSnippet</span>
  PointSetType::PixelType   tangent;
  PointSetType::PointType   point;

  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> pointId =  0;
  <span class="keyword">const</span> <span class="keywordtype">double</span> radius = 300.0;

  <span class="keywordflow">for</span>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i=0; i&lt;360; i++)
    {
    <span class="keyword">const</span> <span class="keywordtype">double</span> angle = i * atan(1.0) / 45.0;
    point[0] = radius * sin( angle );
    point[1] = radius * cos( angle );
    point[2] = 1.0;   <span class="comment">// flat on the Z plane</span>
    tangent[0] =  cos(angle);
    tangent[1] = -sin(angle);
    tangent[2] = 0.0;  <span class="comment">// flat on the Z plane</span>
    pointSet-&gt;SetPoint( pointId, point );   
    pointSet-&gt;SetPointData( pointId, tangent );   
    pointId++;
    }
  <span class="comment">// Software Guide : EndCodeSnippet</span>


  <span class="comment">//  Software Guide : BeginLatex</span>
  <span class="comment">//</span>
  <span class="comment">//  We can now visit all the points and use the vector on the pixel values to</span>
  <span class="comment">//  apply a displacement on the points. This is along the spirit of what a</span>
  <span class="comment">//  deformable model could do at each one of its iterations. </span>
  <span class="comment">//</span>
  <span class="comment">//  \index{itk::PointSet!PointIterator}</span>
  <span class="comment">//  \index{itk::PointSet!GetPoints()}</span>
  <span class="comment">//  \index{itk::PointSet!GetPointData()}</span>
  <span class="comment">//</span>
  <span class="comment">//  Software Guide : EndLatex </span>


  <span class="comment">// Software Guide : BeginCodeSnippet</span>
  <span class="keyword">typedef</span>  PointSetType::PointDataContainer::ConstIterator PointDataIterator;
  PointDataIterator pixelIterator = pointSet-&gt;GetPointData()-&gt;Begin();
  PointDataIterator pixelEnd      = pointSet-&gt;GetPointData()-&gt;End();

  <span class="keyword">typedef</span>  PointSetType::PointsContainer::Iterator     PointIterator;
  PointIterator pointIterator = pointSet-&gt;GetPoints()-&gt;Begin();
  PointIterator pointEnd      = pointSet-&gt;GetPoints()-&gt;End();

  <span class="keywordflow">while</span>( pixelIterator != pixelEnd  &amp;&amp; pointIterator != pointEnd ) 
    {
    pointIterator.Value() = pointIterator.Value() + pixelIterator.Value();
    ++pixelIterator;
    ++pointIterator;
    }
  <span class="comment">// Software Guide : EndCodeSnippet</span>


  <span class="comment">//  Software Guide : BeginLatex</span>
  <span class="comment">//</span>
  <span class="comment">//  Note that the \code{ConstIterator} was used here instead of the normal</span>
  <span class="comment">//  \code{Iterator} since the pixel values are only intended to be read and</span>
  <span class="comment">//  not modified. ITK supports const-correctness at the API level.</span>
  <span class="comment">//</span>
  <span class="comment">//  \index{ConstIterator}</span>
  <span class="comment">//  \index{const-correctness}</span>
  <span class="comment">//</span>
  <span class="comment">//  Software Guide : EndLatex </span>


  <span class="comment">//  Software Guide : BeginLatex</span>
  <span class="comment">//</span>
  <span class="comment">//  The \doxygen{Vector} class has overloaded the \code{+} operator with</span>
  <span class="comment">//  the \doxygen{Point}. In other words, vectors can be added to points in</span>
  <span class="comment">//  order to produce new points.  This property is exploited in the center</span>
  <span class="comment">//  of the loop in order to update the points positions with a single</span>
  <span class="comment">//  statement.</span>
  <span class="comment">//</span>
  <span class="comment">//  \index{itk::PointSet!PointIterator}</span>
  <span class="comment">//</span>
  <span class="comment">//  We can finally visit all the points and print out the new values</span>
  <span class="comment">//</span>
  <span class="comment">//  Software Guide : EndLatex </span>

  <span class="comment">// Software Guide : BeginCodeSnippet</span>
  pointIterator = pointSet-&gt;GetPoints()-&gt;Begin();
  pointEnd      = pointSet-&gt;GetPoints()-&gt;End();
  <span class="keywordflow">while</span>( pointIterator != pointEnd ) 
    {
    std::cout &lt;&lt; pointIterator.Value() &lt;&lt; std::endl;
    ++pointIterator;
    }
  <span class="comment">// Software Guide : EndCodeSnippet</span>


  <span class="comment">//  Software Guide : BeginLatex</span>
  <span class="comment">//</span>
  <span class="comment">//  Note that \doxygen{Vector} is not the appropriate class for</span>
  <span class="comment">//  representing normals to surfaces and gradients of functions. This is due</span>
  <span class="comment">//  to the way in which vectors behave under affine transforms. ITK has a</span>
  <span class="comment">//  specific class for representing normals and function gradients. This is</span>
  <span class="comment">//  the \doxygen{CovariantVector} class.</span>
  <span class="comment">//</span>
  <span class="comment">//  Software Guide : EndLatex </span>

  <span class="keywordflow">return</span> 0;
}




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