PerspectiveTransform

VTKExamples/Cxx/SimpleOperations/PerspectiveTransform

Description

The perspective transform automatically appends the "homogeneous 1" to the point before it is multiplied by the matrix. It then divides the first 3 coordinates of the result by the 4th coordinate of the result. For comparison, the standard projection vtkTransform) is also performed with the same matrix and the same point. Note that the results are much different.

Other Languages

See (Java), (CSharp)

Code

PerspectiveTransform.cxx

#include <vtkSmartPointer.h>
#include <vtkPerspectiveTransform.h>
#include <vtkTransform.h>
#include <vtkMatrix4x4.h>

int main(int, char *[])
{
  vtkSmartPointer<vtkMatrix4x4> m =
    vtkSmartPointer<vtkMatrix4x4>::New();
  m->SetElement(0,0,1);
  m->SetElement(0,1,2);
  m->SetElement(0,2,3);
  m->SetElement(0,3,4);
  m->SetElement(1,0,2);
  m->SetElement(1,1,2);
  m->SetElement(1,2,3);
  m->SetElement(1,3,4);
  m->SetElement(2,0,3);
  m->SetElement(2,1,2);
  m->SetElement(2,2,3);
  m->SetElement(2,3,4);
  m->SetElement(3,0,4);
  m->SetElement(3,1,2);
  m->SetElement(3,2,3);
  m->SetElement(3,3,4);

  vtkSmartPointer<vtkPerspectiveTransform> perspectiveTransform = 
      vtkSmartPointer<vtkPerspectiveTransform>::New();
  perspectiveTransform->SetMatrix(m);

  vtkSmartPointer<vtkTransform> transform =
      vtkSmartPointer<vtkTransform>::New();
  transform->SetMatrix(m);

  double p[3];
  p[0] = 1.0;
  p[1] = 2.0;
  p[2] = 3.0;

  double normalProjection[3];
  transform->TransformPoint(p, normalProjection);

  std::cout << "Standard projection: "
    << normalProjection[0] << " " 
    << normalProjection[1] << " " 
    << normalProjection[2] << std::endl;

  double perspectiveProjection[3];
  perspectiveTransform->TransformPoint(p, perspectiveProjection);
  std::cout << "Perspective projection: "
    << perspectiveProjection[0] 
    << " " << perspectiveProjection[1] << " " 
    << perspectiveProjection[2] << std::endl;

  return EXIT_SUCCESS;
}

CMakeLists.txt

cmake_minimum_required(VERSION 3.3 FATAL_ERROR)

project(PerspectiveTransform)

find_package(VTK COMPONENTS 
  vtkCommonCore
  vtkCommonMath
  vtkCommonTransforms QUIET)
if (NOT VTK_FOUND)
  message("Skipping PerspectiveTransform: ${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(PerspectiveTransform MACOSX_BUNDLE PerspectiveTransform.cxx )
  target_link_libraries(PerspectiveTransform PRIVATE ${VTK_LIBRARIES})
else ()
  # include all components
  add_executable(PerspectiveTransform MACOSX_BUNDLE PerspectiveTransform.cxx )
  target_link_libraries(PerspectiveTransform PRIVATE ${VTK_LIBRARIES})
  # vtk_module_autoinit is needed
  vtk_module_autoinit(
    TARGETS PerspectiveTransform
    MODULES ${VTK_LIBRARIES}
    )
endif () 

Download and Build PerspectiveTransform

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

cd PerspectiveTransform/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:

./PerspectiveTransform

WINDOWS USERS

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