Try to get a stripe on my shirt texture to follow the curve of the collar I'm modeling a shirt and I want a nice even stripe around all the edges. I UV mapped the shirt and then made all the quads rectangular. I figured this would make it easy to draw a stripe with perfectly straight lines in Illustrator. However, back in Blender it's not mapping onto the collar the way I wanted. You can see the map on the left and the result on the right.
Any ideas how I can make that stripe follow the curve of that collar precisely?

EDIT: Guys, little update. Based on your suggestions I redid the UV map without rectangular quads, and then drew curvy lines in Illustrator. Back in Blender I adjusted some vertices in my UV map to try and get the edges lined up with the stripe. Results are pretty good, so thanks!
I would try laying out the UVs more organically, than just laying it out in quads. Since they are not displayed on the model that way in the end, I think it's giving it the appearance of being stretched around like that.
Could also be that since you've drawn in the corners on the UV map, that is it simply replicating those corners in your texture. So I would try to round out the lines.
These suggestions could be separate or work in tandem, but it's what I would try. Hope that helps. Good luck!