# OrientedArrow

VTKExamples/Python/GeometricObjects/OrientedArrow

### Description

This example illustrates how to create and display an arrow that passes through two points.

It demonstrates two different ways to apply the transform:

1. Use vtkTransformPolyDataFilter to create a new transformed polydata. This method is useful if the transformed polydata is needed later in the pipeline, e.g. vtkGlyph3DFilter.

2. Apply the transform directly to the actor using vtkProp3D's SetUserMatrix. No new data is produced.

Switch between the two methods by setting USER_MATRIX to either True or False as documented in the script.

### Code

OrientedArrow.py

    #!/usr/bin/env python

    import vtk
    import random

    '''
    There are two alternative ways to apply the transform.
     1) Use vtkTransformPolyDataFilter to create a new transformed polydata.
        This method is useful if the transformed polydata is needed
          later in the pipeline
        To do this, set USER_MATRIX = True
     2) Apply the transform directly to the actor using vtkProp3D's SetUserMatrix.
        No new data is produced.
        To do this, set USER_MATRIX = False
    '''
    USER_MATRIX = False

    #Create an arrow.
    arrowSource = vtk.vtkArrowSource()

    # Generate a random start and end point
    random.seed(8775070)
    startPoint = [0 for i in range(3)]
    startPoint[0] = random.uniform(-10,10)
    startPoint[1] = random.uniform(-10,10)
    startPoint[2] = random.uniform(-10,10)
    endPoint = [0 for i in range(3)]
    endPoint[0] = random.uniform(-10,10)
    endPoint[1] = random.uniform(-10,10)
    endPoint[2] = random.uniform(-10,10)

    # Compute a basis
    normalizedX = [0 for i in range(3)]
    normalizedY = [0 for i in range(3)]
    normalizedZ = [0 for i in range(3)]

    # The X axis is a vector from start to end
    math = vtk.vtkMath()
    math.Subtract(endPoint, startPoint, normalizedX)
    length = math.Norm(normalizedX)
    math.Normalize(normalizedX)

    # The Z axis is an arbitrary vector cross X
    arbitrary = [0 for i in range(3)]
    arbitrary[0] = random.uniform(-10,10)
    arbitrary[1] = random.uniform(-10,10)
    arbitrary[2] = random.uniform(-10,10)
    math.Cross(normalizedX, arbitrary, normalizedZ)
    math.Normalize(normalizedZ)

    # The Y axis is Z cross X
    math.Cross(normalizedZ, normalizedX, normalizedY)
    matrix = vtk.vtkMatrix4x4()

    # Create the direction cosine matrix
    matrix.Identity()
    for i in range(3):
      matrix.SetElement(i, 0, normalizedX[i])
      matrix.SetElement(i, 1, normalizedY[i])
      matrix.SetElement(i, 2, normalizedZ[i])

    # Apply the transforms
    transform = vtk.vtkTransform()
    transform.Translate(startPoint)
    transform.Concatenate(matrix)
    transform.Scale(length, length, length)

    # Transform the polydata
    transformPD = vtk.vtkTransformPolyDataFilter()
    transformPD.SetTransform(transform)
    transformPD.SetInputConnection(arrowSource.GetOutputPort())

    #Create a mapper and actor for the arrow
    mapper = vtk.vtkPolyDataMapper()
    actor = vtk.vtkActor()

    if USER_MATRIX:
        mapper.SetInputConnection(arrowSource.GetOutputPort())
        actor.SetUserMatrix(transform.GetMatrix())
    else:
        mapper.SetInputConnection(transformPD.GetOutputPort())

    actor.SetMapper(mapper)

    # Create spheres for start and end point
    sphereStartSource = vtk.vtkSphereSource()
    sphereStartSource.SetCenter(startPoint)
    sphereStartMapper = vtk.vtkPolyDataMapper()
    sphereStartMapper.SetInputConnection(sphereStartSource.GetOutputPort())
    sphereStart = vtk.vtkActor()
    sphereStart.SetMapper(sphereStartMapper)
    sphereStart.GetProperty().SetColor(1.0, 1.0, .3)

    sphereEndSource = vtk.vtkSphereSource()
    sphereEndSource.SetCenter(endPoint)
    sphereEndMapper = vtk.vtkPolyDataMapper()
    sphereEndMapper.SetInputConnection(sphereEndSource.GetOutputPort())
    sphereEnd = vtk.vtkActor()
    sphereEnd.SetMapper(sphereEndMapper)
    sphereEnd.GetProperty().SetColor(1.0, .3, .3)

    #Create a renderer, render window, and interactor
    renderer = vtk.vtkRenderer()
    renderWindow = vtk.vtkRenderWindow()
    renderWindow.AddRenderer(renderer)
    renderWindowInteractor = vtk.vtkRenderWindowInteractor()
    renderWindowInteractor.SetRenderWindow(renderWindow)

    #Add the actor to the scene
    renderer.AddActor(actor)
    renderer.AddActor(sphereStart)
    renderer.AddActor(sphereEnd)
    renderer.SetBackground(.1, .2, .3) # Background color dark blue

    #Render and interact
    renderWindow.Render()
    renderWindowInteractor.Start()