Technique: Rounded Pockets

Here is one way to get smooth, rounded corners
on patch pockets like these

First, you'll want to baste around the edge of the pocket. 
Use a long stitch length and do not backstitch at the
beginning/end. The stitching should be the same distance
from the edge as the amount you need to fold under. 
So, if you want to fold under 1/2",  baste 1/2" from the edge. 

Because you didn't backstitch, you'll be able to pull on the loose
thread ends--just one of them--to create a slight gather. 
This is going to help create a smooth edge. 
The rounded edge of the pocket will naturally fold inward some.

Here's how the front is starting to shape up.  You'll want to
adjust the amount of gather until you get a smooth curve.

Here's what the pocket (the other one) looks like once it's
been ironed and is ready to be attached. 
It's got a much nicer curve than if I had just tried to fold the
edge under and iron it, and I burnt myself less in the process :)
While sewing the pocket on the garment, you can use your seam ripper
to poke in any bits that look pointy, to make them smooth.
Once the pocket is sewn, remove any basting stitches that sho.

I appreciate feedback, so if anything is unclear or incomplete please let me know and I will do my best to fix it!