Valve had this problem solved since 2007. I'd argue this technique is a big part of what gave TF2 its impressive visual style. That game ran at 100+ fps on hardware like the 8800GT at the time.
In theory you could handle it however you want. You could make an SDF texture of a figure eight where the inside of the eight is purely zero and only the outside has a gradient. If you built a texture like this then your stroke with would only ever grow out of the shape.
This is an example of how SDF is very powerful.
If instead you're asking about the precision with regards to the infinitely small point of an intersection of two vectors it's actually not an issue at all. The technique uses the usual texture sampling pipeline such that the render will be as sharp as your SDF texture and as alias free as your mitmaping allows.