diff --git a/modules/cudaimgproc/doc/cudaimgproc.bib b/modules/cudaimgproc/doc/cudaimgproc.bib
index cb36ade7f5..809c2c53f6 100644
--- a/modules/cudaimgproc/doc/cudaimgproc.bib
+++ b/modules/cudaimgproc/doc/cudaimgproc.bib
@@ -8,3 +8,12 @@ @article{Allegretti2019
   year={2019},
   publisher={IEEE}
 }
+
+@article{BT.709,
+  title={Recommendation ITU-R BT.709-6},
+  author={ITU},
+  pages={3},
+  year={2015},
+  publisher={ITU}
+  url={https://www.itu.int/dms_pubrec/itu-r/rec/bt/R-REC-BT.709-6-201506-I!!PDF-E.pdf}
+}
diff --git a/modules/cudaimgproc/doc/pics/gammacorrection.png b/modules/cudaimgproc/doc/pics/gammacorrection.png
new file mode 100644
index 0000000000..9dbd000961
Binary files /dev/null and b/modules/cudaimgproc/doc/pics/gammacorrection.png differ
diff --git a/modules/cudaimgproc/include/opencv2/cudaimgproc.hpp b/modules/cudaimgproc/include/opencv2/cudaimgproc.hpp
index 01e7c41ca9..cc39ebcd22 100644
--- a/modules/cudaimgproc/include/opencv2/cudaimgproc.hpp
+++ b/modules/cudaimgproc/include/opencv2/cudaimgproc.hpp
@@ -154,6 +154,19 @@ CV_EXPORTS void swapChannels(InputOutputArray image, const int dstOrder[4], Stre
 @param dst Destination image.
 @param forward true for forward gamma correction or false for inverse gamma correction.
 @param stream Stream for the asynchronous version.
+
+Gamma correction is conformant to BT.709 @cite BT.709 with γ=0.45.
+
+For the forward transform, RGB values are normalised to fit in the range L=[0..1], then:
+- For L < 0.018
+  + V = 4.5*L
+- For L >= 0.018
+  + V = 1.099 * L^0.45 - 0.099
+
+With V then being scaled back to [0..255].
+
+![image](pics/gammacorrection.png)
+
  */
 CV_EXPORTS_W void gammaCorrection(InputArray src, OutputArray dst, bool forward = true, Stream& stream = Stream::Null());