# ParametricObjects

VTKExamples/Cxx/Deprecated/GeometricObjects/ParametricObjects

### Description¶

See Parametric Equations for Surfaces by Andrew Maclean for an excellent description of these beautiful parametric surfaces.

You can edit the following code by selecting any one of the functions and the corresponding object will be displayed.

Other Languages

See (Python)

Question

### Code¶

ParametricObjects.cxx

#include <vtkActor.h>
#include <vtkNamedColors.h>
#include <vtkParametricFunctionSource.h>
#include <vtkPolyDataMapper.h>
#include <vtkProperty.h>
#include <vtkRenderer.h>
#include <vtkRenderWindow.h>
#include <vtkRenderWindowInteractor.h>
#include <vtkSmartPointer.h>

// Uncomment one of the following includes that correspond
//  to the object that you have selected below:
// #include <vtkParametricBoy.h>
// #include <vtkParametricConicSpiral.h>
// #include <vtkParametricCrossCap.h>
// #include <vtkParametricDini.h>
// #include <vtkParametricEllipsoid.h>
// #include <vtkParametricEnneper.h>
#include <vtkParametricFigure8Klein.h>
// #include <vtkParametricKlein.h>
// #include <vtkParametricMobius.h>
// #include <vtkParametricRandomHills.h>
// #include <vtkParametricRoman.h>
// #include <vtkParametricSpline.h>
// #include <vtkParametricSuperEllipsoid.h>
// #include <vtkParametricSuperToroid.h>
// #include <vtkParametricTorus.h>

#include <array>

int main(int, char* [])
{
vtkSmartPointer<vtkNamedColors> colors =
vtkSmartPointer<vtkNamedColors>::New();

// Set the background color.
std::array<unsigned char , 4> bkg{{26, 51, 102, 255}};
colors->SetColor("BkgColor", bkg.data());

// Uncomment one of the following and
//   ensure the matching include (above) is umcommented).
// vtkSmartPointer<vtkParametricBoy> parametricObject =
// vtkSmartPointer<vtkParametricBoy>::New();
// vtkSmartPointer<vtkParametricConicSpiral> parametricObject =
// vtkSmartPointer<vtkParametricConicSpiral>::New();
// vtkSmartPointer<vtkParametricCrossCap> parametricObject =
// vtkSmartPointer<vtkParametricCrossCap>::New();
// vtkSmartPointer<vtkParametricDini> parametricObject =
// vtkSmartPointer<vtkParametricDini>::New();
// vtkSmartPointer<vtkParametricEllipsoid> parametricObject =
// vtkSmartPointer<vtkParametricEllipsoid>::New();
// vtkSmartPointer<vtkParametricEnneper> parametricObject =
// vtkSmartPointer<vtkParametricEnneper>::New();
vtkSmartPointer<vtkParametricFigure8Klein> parametricObject =
vtkSmartPointer<vtkParametricFigure8Klein>::New();
// vtkSmartPointer<vtkParametricKlein> parametricObject =
// vtkSmartPointer<vtkParametricKlein>::New();
// vtkSmartPointer<vtkParametricMobius> parametricObject =
// vtkSmartPointer<vtkParametricMobius>::New();
// vtkSmartPointer<vtkParametricRandomHills> parametricObject =
// vtkSmartPointer<vtkParametricRandomHills>::New();
// vtkSmartPointer<vtkParametricRoman> parametricObject =
// vtkSmartPointer<vtkParametricRoman>::New();
// vtkSmartPointer<vtkParametricSpline> parametricObject =
// vtkSmartPointer<vtkParametricSpline>::New();
// vtkSmartPointer<vtkParametricSuperEllipsoid> parametricObject =
// vtkSmartPointer<vtkParametricSuperEllipsoid>::New();
// vtkSmartPointer<vtkParametricSuperToroid> parametricObject =
// vtkSmartPointer<vtkParametricSuperToroid>::New();
// vtkSmartPointer<vtkParametricTorus> parametricObject =
// vtkSmartPointer<vtkParametricTorus>::New();

vtkSmartPointer<vtkParametricFunctionSource> parametricFunctionSource =
vtkSmartPointer<vtkParametricFunctionSource>::New();
parametricFunctionSource->SetParametricFunction(parametricObject);
parametricFunctionSource->Update();

// Visualize

vtkSmartPointer<vtkProperty> backProperty =
vtkSmartPointer<vtkProperty>::New();
backProperty->SetColor(colors->GetColor3d("Tomato").GetData());

vtkSmartPointer<vtkPolyDataMapper> mapper =
vtkSmartPointer<vtkPolyDataMapper>::New();
mapper->SetInputConnection(parametricFunctionSource->GetOutputPort());

// Create an actor for the contours
vtkSmartPointer<vtkActor> actor = vtkSmartPointer<vtkActor>::New();
actor->SetMapper(mapper);
actor->GetProperty()->SetDiffuseColor(
colors->GetColor3d("Banana").GetData());
actor->GetProperty()->SetSpecular(.5);
actor->GetProperty()->SetSpecularPower(20);
actor->SetBackfaceProperty(backProperty);
vtkSmartPointer<vtkRenderer> renderer = vtkSmartPointer<vtkRenderer>::New();
vtkSmartPointer<vtkRenderWindow> renderWindow =
vtkSmartPointer<vtkRenderWindow>::New();
renderWindow->SetWindowName("Parametric Objects");
vtkSmartPointer<vtkRenderWindowInteractor> interactor =
vtkSmartPointer<vtkRenderWindowInteractor>::New();
interactor->SetRenderWindow(renderWindow);

renderer->SetBackground(colors->GetColor3d("BkgColor").GetData());

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

return EXIT_SUCCESS;
}


### CMakeLists.txt¶

cmake_minimum_required(VERSION 3.3 FATAL_ERROR)

project(ParametricObjects)

find_package(VTK COMPONENTS
vtkCommonColor
vtkCommonComputationalGeometry
vtkCommonCore
vtkInteractionStyle
vtkRenderingContextOpenGL2
vtkRenderingCore
vtkRenderingFreeType
vtkRenderingGL2PSOpenGL2
vtkRenderingOpenGL2 QUIET)
if (NOT VTK_FOUND)
message("Skipping ParametricObjects: ${VTK_NOT_FOUND_MESSAGE}") return () endif() message (STATUS "VTK_VERSION:${VTK_VERSION}")
if (VTK_VERSION VERSION_LESS "8.90.0")
# old system
include(${VTK_USE_FILE}) add_executable(ParametricObjects MACOSX_BUNDLE ParametricObjects.cxx ) target_link_libraries(ParametricObjects PRIVATE${VTK_LIBRARIES})
else ()
# include all components
target_link_libraries(ParametricObjects PRIVATE ${VTK_LIBRARIES}) # vtk_module_autoinit is needed vtk_module_autoinit( TARGETS ParametricObjects MODULES${VTK_LIBRARIES}
)
endif ()


cd ParametricObjects/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:

./ParametricObjects


WINDOWS USERS

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