diff --git a/wrapping/itkCudaImageRTK.wrap b/wrapping/itkCudaImageRTK.wrap
index 66573ed53..44b0d48d8 100644
--- a/wrapping/itkCudaImageRTK.wrap
+++ b/wrapping/itkCudaImageRTK.wrap
@@ -1,14 +1,31 @@
 if(RTK_USE_CUDA)
 
+  if(CudaCommon_SOURCE_DIR)
+    configure_file("${CudaCommon_SOURCE_DIR}/wrapping/CudaImage.i.init" "${CMAKE_CURRENT_BINARY_DIR}/CudaImageRTK.i" @ONLY)
+  endif()
+
+  function(wrap_CudaImage_swig_ext type px_type)
+    if(CudaCommon_SOURCE_DIR)
+      set(CudaImageTypes ${type})
+      set(PixelType ${px_type})
+      configure_file(${CudaCommon_SOURCE_DIR}/wrapping/CudaImage.i.in ${CMAKE_CURRENT_BINARY_DIR}/CudaImageRTK.i.temp @ONLY)
+      file(READ ${CMAKE_CURRENT_BINARY_DIR}/CudaImageRTK.i.temp CudaImageInterfaceTemp)
+      file(APPEND ${CMAKE_CURRENT_BINARY_DIR}/CudaImageRTK.i ${CudaImageInterfaceTemp})
+    endif()
+  endfunction()
+
   itk_wrap_class("itk::CudaImage" POINTER_WITH_CONST_POINTER)
 
     # Add all missing image with dim == 4
     list(FIND ITK_WRAP_IMAGE_DIMS "4" _index)
     if (${_index} EQUAL -1)
       itk_wrap_template("F4" "${ITKT_F}, 4")
-      foreach(c 2 3 4)
-        itk_wrap_template("${ITKM_VF${c}}4" "${ITKT_VF${c}}, 4")
-        itk_wrap_template("${ITKM_CVF${c}}4" "${ITKT_CVF${c}}, 4")
+      wrap_CudaImage_swig_ext(F4 F)
+      foreach(vector_type VF CVF)
+        foreach(c 2 3 4)
+          itk_wrap_template("${ITKM_${vector_type}${c}}4" "${ITKT_${vector_type}${c}}, 4")
+          wrap_CudaImage_swig_ext(${ITKM_${vector_type}${c}}4 F)
+        endforeach()
       endforeach()
     endif()
 
@@ -17,11 +34,33 @@ if(RTK_USE_CUDA)
     if(${_index} EQUAL -1)
       UNIQUE(imageDimensions "${ITK_WRAP_IMAGE_DIMS};2;3;4")
       foreach(d ${imageDimensions})
-        itk_wrap_template("${ITKM_VF5}${d}" "${ITKT_VF5}, ${d}")
-        itk_wrap_template("${ITKM_CVF5}${d}" "${ITKT_CVF5}, ${d}")
+        foreach(vector_type VF CVF)
+          itk_wrap_template("${ITKM_${vector_type}5}${d}" "${ITKT_${vector_type}5}, ${d}")
+          wrap_CudaImage_swig_ext(${ITKM_${vector_type}5}${d} F)
+        endforeach()
       endforeach()
     endif()
 
   itk_end_wrap_class()
 
+  if(CudaCommon_SOURCE_DIR)
+    # Add library files to be included at a submodule level and copy them into
+    # ITK's wrapping typedef directory.
+    # Another approach is to add CudaImage.i to the WRAPPER_SWIG_LIBRARY_FILES list
+    # but then the %pythoncode from CudaImage.i.init gets only included in
+    # itkCudaDataManagerPython.py even if the WRAPPER_SUBMODULE_ORDER is set.
+    # Prefer using ITK_WRAP_PYTHON_SWIG_EXT to make sure the block is included in
+    # the right file exclusively.
+    set(ITK_WRAP_PYTHON_SWIG_EXT
+      "%include CudaImageRTK.i\n${ITK_WRAP_PYTHON_SWIG_EXT}")
+
+    file(COPY "${CMAKE_CURRENT_BINARY_DIR}/CudaImageRTK.i"
+      DESTINATION "${WRAPPER_MASTER_INDEX_OUTPUT_DIR}")
+
+    # Make sure to rebuild the python file when CudaImage.i is modified.
+    # Touching CudaImage.i directly does not force a rebuild because it is just
+    # appended to the ITK_WRAP_PYTHON_SWIG_EXT variable
+    file(TOUCH ${WRAPPER_MASTER_INDEX_OUTPUT_DIR}/itkCudaImageRTK.i)
+  endif()
+
 endif()