Transformations on a 2D view's indices?

Is there a way to take a view on a 2D matrix, and do things like translate the indices, or even rotate the view? Say, something like this.

using ColorTypes, ImageView
x = zeros(RGBA, 1000, 1000)
v = view(x, 400:600, 400:600) #view to a square in the middle

rotate!(v, pi/3)           #rotate the view indices 60º
translate!(v, (100, -10))  #translate the view indices in x by +100, y by -1

v .= RGBA(1.0, 0.0, 0.0, 1.0) #set the elements in the view to red

display(x) 
#shows a transparent image with a red square to the 
#right and bottom of center, that's rotated by 60º

Rotation would require going for the nearest indices per element.