Trapezopid shaped face to square UV coordinates has unfavourable skewing When I map a trapezoid shaped face to square shaped uv coordinates it doesnt skew how I would expect it to. I want it to go to from fat to slim pixels. Instead it seems to skew based on triangles maybe? 

(object scale is applied btw)
If you have a seam down one side and around the circumferences top and bottom, then you can:


Align the approximately cylindrical region in an orthographic view (minus the caps)
U unwrap the tube with 'Cylinder Projection'