# PCADemo

VTKExamples/Cxx/Utilities/PCADemo

### Code

PCADemo.cxx

    #include <vtkSmartPointer.h>
    #include <vtkPCAStatistics.h>

    #include <vtkLine.h>
    #include <vtkLineSource.h>
    #include <vtkTransform.h>
    #include <vtkVertexGlyphFilter.h>
    #include <vtkMath.h>
    #include <vtkDoubleArray.h>
    #include <vtkTable.h>
    #include <vtkTransformPolyDataFilter.h>
    #include <vtkActor.h>
    #include <vtkPoints.h>
    #include <vtkPolyData.h>
    #include <vtkPolyDataMapper.h>
    #include <vtkProperty.h>
    #include <vtkRenderWindow.h>
    #include <vtkRenderWindowInteractor.h>
    #include <vtkRenderer.h>
    #include <vtkVertexGlyphFilter.h>

    #include <vtkNamedColors.h>

    int main(int, char*[])
    {
      vtkMath::RandomSeed(0);

      vtkSmartPointer<vtkPoints> points =
        vtkSmartPointer<vtkPoints>::New();
      for(unsigned int i = 0; i < 200; i++)
      {
        double x = vtkMath::Gaussian(0, 2);
        double y = vtkMath::Gaussian(0, 5);
        points->InsertNextPoint(x,y,0);
      }
      vtkSmartPointer<vtkPolyData> polydata =
        vtkSmartPointer<vtkPolyData>::New();
      polydata->SetPoints(points);

      vtkSmartPointer<vtkTransform> transform =
        vtkSmartPointer<vtkTransform>::New();
      transform->RotateZ(30);

      vtkSmartPointer<vtkTransformPolyDataFilter> transformFilter =
        vtkSmartPointer<vtkTransformPolyDataFilter>::New();
      transformFilter->SetTransform(transform);
      transformFilter->SetInputData(polydata);
      transformFilter->Update();

      // These would be all of your "x" values.
      vtkSmartPointer<vtkDoubleArray> xArray =
        vtkSmartPointer<vtkDoubleArray>::New();
      xArray->SetNumberOfComponents(1);
      xArray->SetName("x");

      // These would be all of your "y" values.
      vtkSmartPointer<vtkDoubleArray> yArray =
        vtkSmartPointer<vtkDoubleArray>::New();
      yArray->SetNumberOfComponents(1);
      yArray->SetName("y");

      for(vtkIdType i = 0; i < polydata->GetNumberOfPoints(); i++)
      {
        double p[3];
        transformFilter->GetOutput()->GetPoint(i,p);
        xArray->InsertNextValue(p[0]);
        yArray->InsertNextValue(p[1]);
      }

      vtkSmartPointer<vtkTable> datasetTable =
        vtkSmartPointer<vtkTable>::New();
      datasetTable->AddColumn(xArray);
      datasetTable->AddColumn(yArray);

      vtkSmartPointer<vtkPCAStatistics> pcaStatistics =
        vtkSmartPointer<vtkPCAStatistics>::New();
      pcaStatistics->SetInputData( vtkStatisticsAlgorithm::INPUT_DATA, datasetTable );

      pcaStatistics->SetColumnStatus("x", 1 );
      pcaStatistics->SetColumnStatus("y", 1 );

      pcaStatistics->RequestSelectedColumns();
      pcaStatistics->SetDeriveOption(true);
      pcaStatistics->Update();

      ///////// Eigenvalues ////////////
      vtkSmartPointer<vtkDoubleArray> eigenvalues =
        vtkSmartPointer<vtkDoubleArray>::New();
      pcaStatistics->GetEigenvalues(eigenvalues);
      for(vtkIdType i = 0; i < eigenvalues->GetNumberOfTuples(); i++)
      {
        std::cout << "Eigenvalue " << i << " = " << eigenvalues->GetValue(i) << std::endl;
      }

      ///////// Eigenvectors ////////////
      vtkSmartPointer<vtkDoubleArray> eigenvectors =
        vtkSmartPointer<vtkDoubleArray>::New();

      pcaStatistics->GetEigenvectors(eigenvectors);

      vtkSmartPointer<vtkDoubleArray> evec1 =
        vtkSmartPointer<vtkDoubleArray>::New();
      pcaStatistics->GetEigenvector(0, evec1);

      vtkSmartPointer<vtkDoubleArray> evec2 =
        vtkSmartPointer<vtkDoubleArray>::New();
      pcaStatistics->GetEigenvector(1, evec2);

      double scale = 3.0;
      vtkSmartPointer<vtkLineSource> vector1Source =
        vtkSmartPointer<vtkLineSource>::New();
      vector1Source->SetPoint1(0,0,0);
      vector1Source->SetPoint1(scale * evec1->GetValue(0), scale* evec1->GetValue(1),0);

      vtkSmartPointer<vtkPolyDataMapper> vec1Mapper =
        vtkSmartPointer<vtkPolyDataMapper>::New();
      vec1Mapper->SetInputConnection(vector1Source->GetOutputPort());

      vtkSmartPointer<vtkNamedColors> colors =
        vtkSmartPointer<vtkNamedColors>::New();

      vtkSmartPointer<vtkActor> vector1Actor =
        vtkSmartPointer<vtkActor>::New();
      vector1Actor->SetMapper(vec1Mapper);
      vector1Actor->GetProperty()->SetColor(colors->GetColor3d("LimeGreen").GetData());
      vector1Actor->GetProperty()->SetLineWidth(3);

      vtkSmartPointer<vtkLineSource> vector2Source =
        vtkSmartPointer<vtkLineSource>::New();
      vector2Source->SetPoint1(0,0,0);
      vector2Source->SetPoint1(scale* evec2->GetValue(0), scale*evec2->GetValue(1),0);

      vtkSmartPointer<vtkPolyDataMapper> vec2Mapper =
        vtkSmartPointer<vtkPolyDataMapper>::New();
      vec2Mapper->SetInputConnection(vector2Source->GetOutputPort());

      vtkSmartPointer<vtkActor> vector2Actor =
        vtkSmartPointer<vtkActor>::New();
      vector2Actor->SetMapper(vec2Mapper);
      vector2Actor->GetProperty()->SetColor(colors->GetColor3d("Crimson").GetData());
      vector2Actor->GetProperty()->SetLineWidth(3);

      // Project all of the points onto the eigenvector with
      // the largest eigenvalues
      double p0[2];
      p0[0] = -100*evec1->GetValue(0);
      p0[1] = -100*evec1->GetValue(1);
      double p1[2];
      p1[0] = 100*evec1->GetValue(0);
      p1[1] = 100*evec1->GetValue(1);

      vtkSmartPointer<vtkPoints> projectedPoints =
        vtkSmartPointer<vtkPoints>::New();
      for(vtkIdType i = 0; i < polydata->GetNumberOfPoints(); i++)
      {
        double p[3];
        transformFilter->GetOutput()->GetPoint(i,p);
        double t;
        double closestPoint[3];
        vtkLine::DistanceToLine(p, p0, p1, t, closestPoint);
        double newP[3];
        double v[3];
        vtkMath::Subtract(p1, p0, v);
        vtkMath::Normalize(v);
        vtkMath::MultiplyScalar(v, t);
        vtkMath::Add(p0, v, newP);
        projectedPoints->InsertNextPoint(t, 0, 0);
      }

      vtkSmartPointer<vtkPolyData> projectedPolyData =
        vtkSmartPointer<vtkPolyData>::New();
      projectedPolyData->SetPoints(projectedPoints);

      vtkSmartPointer<vtkVertexGlyphFilter> projectedGlyphFilter =
        vtkSmartPointer<vtkVertexGlyphFilter>::New();
      projectedGlyphFilter->SetInputData(projectedPolyData);
      projectedGlyphFilter->Update();

      vtkSmartPointer<vtkPolyDataMapper> projectedMapper =
        vtkSmartPointer<vtkPolyDataMapper>::New();
      projectedMapper->SetInputConnection(projectedGlyphFilter->GetOutputPort());
      vtkSmartPointer<vtkActor> projectedActor =
        vtkSmartPointer<vtkActor>::New();
      projectedActor->SetMapper(projectedMapper);
      projectedActor->GetProperty()->SetPointSize(3);

      // There will be one render window
      vtkSmartPointer<vtkRenderWindow> renderWindow =
        vtkSmartPointer<vtkRenderWindow>::New();
      renderWindow->SetSize(600, 300);

      // And one interactor
      vtkSmartPointer<vtkRenderWindowInteractor> interactor =
        vtkSmartPointer<vtkRenderWindowInteractor>::New();
      interactor->SetRenderWindow(renderWindow);

      // Define viewport ranges
      // (xmin, ymin, xmax, ymax)
      double leftViewport[4] = {0.0, 0.0, 0.5, 1.0};
      double rightViewport[4] = {0.5, 0.0, 1.0, 1.0};

      // Setup both renderers
      vtkSmartPointer<vtkRenderer> leftRenderer =
        vtkSmartPointer<vtkRenderer>::New();
      renderWindow->AddRenderer(leftRenderer);
      leftRenderer->SetViewport(leftViewport);
      leftRenderer->SetBackground(colors->GetColor3d("burlywood").GetData());

      vtkSmartPointer<vtkRenderer> rightRenderer =
        vtkSmartPointer<vtkRenderer>::New();
      renderWindow->AddRenderer(rightRenderer);
      rightRenderer->SetViewport(rightViewport);
      rightRenderer->SetBackground(colors->GetColor3d("slate_grey").GetData());

      vtkSmartPointer<vtkVertexGlyphFilter> glyphFilter =
        vtkSmartPointer<vtkVertexGlyphFilter>::New();
      glyphFilter->SetInputConnection(transformFilter->GetOutputPort());
      glyphFilter->Update();

      vtkSmartPointer<vtkPolyDataMapper> originalMapper =
        vtkSmartPointer<vtkPolyDataMapper>::New();
      originalMapper->SetInputConnection(glyphFilter->GetOutputPort());
      vtkSmartPointer<vtkActor> originalActor =
        vtkSmartPointer<vtkActor>::New();
      originalActor->SetMapper(originalMapper);
      originalActor->GetProperty()->SetPointSize(3);

      leftRenderer->AddActor(originalActor);
      leftRenderer->AddActor(vector1Actor);
      leftRenderer->AddActor(vector2Actor);

      rightRenderer->AddActor(projectedActor);

      leftRenderer->ResetCamera();
      rightRenderer->ResetCamera();

      renderWindow->Render();
      interactor->Start();

      return EXIT_SUCCESS;
    }

### CMakeLists.txt

    cmake_minimum_required(VERSION 2.8)

    PROJECT(PCADemo)

    find_package(VTK REQUIRED)
    include(${VTK_USE_FILE})

    add_executable(PCADemo MACOSX_BUNDLE PCADemo.cxx )

    target_link_libraries(PCADemo ${VTK_LIBRARIES})

### Download and Build PCADemo

Click here to download PCADemo and its CMakeLists.txt file. Once the tarball PCADemo.tar has been downloaded and extracted,

    cd PCADemo/build

If VTK is installed:

    cmake ..

If VTK is not installed but compiled on your system, you will need to specify the path to your VTK build:

    cmake -DVTK_DIR:PATH=/home/me/vtk_build ..

Build the project:

    make

and run it:

    ./PCADemo

WINDOWS USERS PLEASE NOTE: Be sure to add the VTK bin directory to your path. This will resolve the VTK dll's at run time.