diff --git a/Tests/test_image_filter.py b/Tests/test_image_filter.py
index 521551212..a7932a351 100644
--- a/Tests/test_image_filter.py
+++ b/Tests/test_image_filter.py
@@ -23,6 +23,7 @@ from .helper import assert_image_equal, hopper
         ImageFilter.MinFilter,
         ImageFilter.ModeFilter,
         ImageFilter.GaussianBlur,
+        ImageFilter.GaussianBlur(0),
         ImageFilter.GaussianBlur(5),
         ImageFilter.GaussianBlur((2, 5)),
         ImageFilter.BoxBlur(0),
diff --git a/src/PIL/ImageFilter.py b/src/PIL/ImageFilter.py
index 0d2fec9ee..57268b8f5 100644
--- a/src/PIL/ImageFilter.py
+++ b/src/PIL/ImageFilter.py
@@ -170,6 +170,8 @@ class GaussianBlur(MultibandFilter):
         xy = self.radius
         if not isinstance(xy, (tuple, list)):
             xy = (xy, xy)
+        if xy == (0, 0):
+            return image.copy()
         return image.gaussian_blur(xy)
 
 
@@ -202,6 +204,8 @@ class BoxBlur(MultibandFilter):
         xy = self.radius
         if not isinstance(xy, (tuple, list)):
             xy = (xy, xy)
+        if xy == (0, 0):
+            return image.copy()
         return image.box_blur(xy)
 
 
diff --git a/src/libImaging/BoxBlur.c b/src/libImaging/BoxBlur.c
index 41e9fbed9..adf425d0d 100644
--- a/src/libImaging/BoxBlur.c
+++ b/src/libImaging/BoxBlur.c
@@ -258,29 +258,39 @@ ImagingBoxBlur(Imaging imOut, Imaging imIn, float xradius, float yradius, int n)
         return ImagingError_ModeError();
     }
 
-    imTransposed = ImagingNewDirty(imIn->mode, imIn->ysize, imIn->xsize);
-    if (!imTransposed) {
-        return NULL;
-    }
-
     /* Apply blur in one dimension.
        Use imOut as a destination at first pass,
        then use imOut as a source too. */
-    ImagingHorizontalBoxBlur(imOut, imIn, xradius);
-    for (i = 1; i < n; i++) {
-        ImagingHorizontalBoxBlur(imOut, imOut, xradius);
-    }
-    /* Transpose result for blur in another direction. */
-    ImagingTranspose(imTransposed, imOut);
 
-    /* Reuse imTransposed as a source and destination there. */
-    for (i = 0; i < n; i++) {
-        ImagingHorizontalBoxBlur(imTransposed, imTransposed, yradius);
+    if (xradius != 0) {
+        ImagingHorizontalBoxBlur(imOut, imIn, xradius);
+        for (i = 1; i < n; i++) {
+            ImagingHorizontalBoxBlur(imOut, imOut, xradius);
+        }
     }
-    /* Restore original orientation. */
-    ImagingTranspose(imOut, imTransposed);
+    if (yradius != 0) {
+        imTransposed = ImagingNewDirty(imIn->mode, imIn->ysize, imIn->xsize);
+        if (!imTransposed) {
+            return NULL;
+        }
 
-    ImagingDelete(imTransposed);
+        /* Transpose result for blur in another direction. */
+        ImagingTranspose(imTransposed, xradius == 0 ? imIn : imOut);
+
+        /* Reuse imTransposed as a source and destination there. */
+        for (i = 0; i < n; i++) {
+            ImagingHorizontalBoxBlur(imTransposed, imTransposed, yradius);
+        }
+        /* Restore original orientation. */
+        ImagingTranspose(imOut, imTransposed);
+
+        ImagingDelete(imTransposed);
+    }
+    if (xradius == 0 && yradius == 0) {
+        if (!ImagingCopy2(imOut, imIn)) {
+            return NULL;
+        }
+    }
 
     return imOut;
 }