I'm trying to create a 'glow' effect using the Android Path class. However, the gradient is not being warped to fit around the path. Instead, it is simply being display 'above' it and clipped to the path's stroke. Using a square path, the image below shows what I mean:

Instead, that should look more like this:

In other words, the gradient follows the path, and in particular wraps around the corners according to the radius set in the CornerPathEffect.
Here is the relevant part of the code:
paint = new Paint();
paint.setStyle(Style.STROKE);
paint.setStrokeWidth(20);
paint.setAntiAlias(true);
LinearGradient gradient = new LinearGradient(30, 0, 50, 0,
new int[] {0x00000000, 0xFF0000FF, 0x00000000}, null, Shader.TileMode.MIRROR);
paint.setShader(gradient);
PathEffect cornerEffect = new CornerPathEffect(10);
paint.setPathEffect(cornerEffect);
canvas.drawPath(boxPath, paint);
Any ideas?
Another alternative is to get a 'soft-edged brush' effect when defining the stroke width. I've experimented with BlurMaskFilters, but those give a uniform blur rather than a transition from opaque to transparent. Does anyone know if that's possible?
The final result is: 

