# ImplicitDataSet

VTKExamples/Python/ImplicitFunctions/ImplicitDataSet

### Code

ImplicitDataSet.py

    # Example in which a cube is used to define an implicit function (through vtkImplicitDataSet)
    # which is then used to clip a sphere

    import vtk

    sphere = vtk.vtkSphereSource()
    sphere.SetCenter(1, 1, 1)
    sphere.SetRadius(1)
    sphere.Update()

    cube = vtk.vtkCubeSource()
    cube.SetBounds(-1, 1, -1, 1, -1, 1)
    cube.Update()

    # Create 3D cells so vtkImplicitDataSet evaluates inside vs outside correctly
    tri = vtk.vtkDelaunay3D()
    tri.SetInputConnection(cube.GetOutputPort())
    tri.BoundingTriangulationOff()

    # vtkImplicitDataSet needs some scalars to interpolate to find inside/outside
    elev = vtk.vtkElevationFilter()
    elev.SetInputConnection(tri.GetOutputPort())

    implicit = vtk.vtkImplicitDataSet()
    implicit.SetDataSet(elev.GetOutput())

    clipper = vtk.vtkClipPolyData()
    clipper.SetClipFunction(implicit)
    clipper.SetInputConnection(sphere.GetOutputPort())
    clipper.InsideOutOn()
    clipper.Update()

    # Vis for clipped sphere
    mapper = vtk.vtkPolyDataMapper()
    mapper.SetInputConnection(clipper.GetOutputPort())
    actor = vtk.vtkActor()
    actor.SetMapper(mapper)

    # Vis for cube so can see it in relation to clipped sphere
    mapper2 = vtk.vtkDataSetMapper()
    mapper2.SetInputConnection(elev.GetOutputPort())
    actor2 = vtk.vtkActor()
    actor2.SetMapper(mapper2)
    actor2.GetProperty().SetRepresentationToWireframe()

    ren1 = vtk.vtkRenderer()
    ren1.AddActor(actor)
    ren1.AddActor(actor2)
    ren1.SetBackground(0.1, 0.2, 0.4)

    renWin = vtk.vtkRenderWindow()
    renWin.AddRenderer(ren1)

    iren = vtk.vtkRenderWindowInteractor()
    iren.SetRenderWindow(renWin)

    renWin.Render()
    iren.Start()