diff --git a/modules/imgproc/src/grabcut.cpp b/modules/imgproc/src/grabcut.cpp
index 2cf1e453b5..e16f9da84c 100644
--- a/modules/imgproc/src/grabcut.cpp
+++ b/modules/imgproc/src/grabcut.cpp
@@ -260,7 +260,11 @@ double calcBeta( const Mat& img )
             }
         }
     }
-    beta = 1.f / (2 * beta/(4*img.cols*img.rows - 3*img.cols - 3*img.rows + 2) );
+    if( beta <= std::numeric_limits<double>::epsilon() )
+        beta = 0;
+    else
+        beta = 1.f / (2 * beta/(4*img.cols*img.rows - 3*img.cols - 3*img.rows + 2) );
+
     return beta;
 }