diff --git a/modules/core/include/opencv2/core/cuda_types.hpp b/modules/core/include/opencv2/core/cuda_types.hpp
index b33f06179d..ddee2f3d59 100644
--- a/modules/core/include/opencv2/core/cuda_types.hpp
+++ b/modules/core/include/opencv2/core/cuda_types.hpp
@@ -66,6 +66,9 @@
     #define __CV_CUDA_HOST_DEVICE__
 #endif
 
+#include "opencv2/core/cvdef.h"
+#include "opencv2/core.hpp"
+
 namespace cv
 {
     namespace cuda
@@ -124,6 +127,11 @@ namespace cv
 
             int cols;
             int rows;
+
+            CV_NODISCARD_STD __CV_CUDA_HOST_DEVICE__ Size size() const { return {cols, rows}; }
+            CV_NODISCARD_STD __CV_CUDA_HOST_DEVICE__ T& operator ()(const Point &pos)       { return (*this)(pos.y, pos.x); }
+            CV_NODISCARD_STD __CV_CUDA_HOST_DEVICE__ const T& operator ()(const Point &pos) const { return (*this)(pos.y, pos.x); }
+            using PtrStep<T>::operator();
         };
 
         typedef PtrStepSz<unsigned char> PtrStepSzb;
diff --git a/modules/core/include/opencv2/core/cvdef.h b/modules/core/include/opencv2/core/cvdef.h
index ff1a3d7a5f..a2154b2df2 100644
--- a/modules/core/include/opencv2/core/cvdef.h
+++ b/modules/core/include/opencv2/core/cvdef.h
@@ -747,7 +747,11 @@ __CV_ENUM_FLAGS_BITWISE_XOR_EQ   (EnumType, EnumType)
 #    define __has_cpp_attribute(__x) 0
 #  endif
 #  if __has_cpp_attribute(nodiscard)
-#    define CV_NODISCARD_STD [[nodiscard]]
+#    if defined(__NVCC__) && __CUDACC_VER_MAJOR__ < 12
+#       define CV_NODISCARD_STD
+#    else
+#       define CV_NODISCARD_STD [[nodiscard]]
+#    endif
 #  elif __cplusplus >= 201703L
 //   available when compiler is C++17 compliant
 #    define CV_NODISCARD_STD [[nodiscard]]