diff --git a/modules/core/include/opencv2/core/core.hpp b/modules/core/include/opencv2/core/core.hpp
index 591d50ade6..0e8091a54d 100644
--- a/modules/core/include/opencv2/core/core.hpp
+++ b/modules/core/include/opencv2/core/core.hpp
@@ -910,8 +910,10 @@ public:
 
     //! returns 4 vertices of the rectangle
     void points(Point2f pts[]) const;
-    //! returns the minimal up-right rectangle containing the rotated rectangle
+    //! returns the minimal up-right integer rectangle containing the rotated rectangle
     Rect boundingRect() const;
+    //! returns the minimal (exact) floating point rectangle containing the rotated rectangle, not intended for use with images
+    Rect_<float> boundingRect2f() const;
     //! conversion to the old-style CvBox2D structure
     operator CvBox2D() const;
 
diff --git a/modules/core/src/matrix.cpp b/modules/core/src/matrix.cpp
index 57abffc3ca..aee377f665 100644
--- a/modules/core/src/matrix.cpp
+++ b/modules/core/src/matrix.cpp
@@ -4277,6 +4277,16 @@ Rect RotatedRect::boundingRect() const
     return r;
 }
 
+
+Rect_<float> RotatedRect::boundingRect2f() const
+{
+    Point2f pt[4];
+    points(pt);
+    Rect_<float> r(Point_<float>(min(min(min(pt[0].x, pt[1].x), pt[2].x), pt[3].x), min(min(min(pt[0].y, pt[1].y), pt[2].y), pt[3].y)),
+                   Point_<float>(max(max(max(pt[0].x, pt[1].x), pt[2].x), pt[3].x), max(max(max(pt[0].y, pt[1].y), pt[2].y), pt[3].y)));
+    return r;
+}
+
 }
 
 /* End of file. */