Adding a skirt / border to object with sharp corners leaves gaps I have an SVG that i made into an outline of an object (shape of Texas), but when i go to add a skirt / border to it the shrink/fatten leaves gaps in the border. Is there a way to expand a face evenly to where I get a smooth border.

Here are the steps I have taken


Import SVG and create mesh object
extruded the object so it has height
selected the top faces so i can extrude again to have a smaller face
for the border
selected the smaller face from the step above and selected Shirnk/Fatten


Expected results:
I would like a smooth lip on the outside of the very top portion of an outline of an object
As you can see on sharp outside corners there are gaps and on sharp inside corners it expands into the interior of the shape.
Import the svg curve.

Scale it to some size that is workable.


SVGs are imported as curve objects. You don't need to convert them to mesh in order to extrude, you can do that in the geometry section>extrude.



(I changed the color for visibility to the blue state that Texas should be)

Then create a new curve object, I will name it "Lip Curve" that has the profile shape you are looking for. Make it small, much smaller than the other object. To make sharp angles select two control points, press V to access the handle type menu, and select "vector"





Use the "Lip Curve" as taper object for the Texas Outline.



You can clean up the object a bit by lowering the resolution for the curve (in this case I lowered the preview resolution for the curve from 16 to 1)



Note that I'm getting a double lip on the object because this particular curve was created thicker in the vector drawing program (inkscape, illustrator, etc) So when it is imported into blender that thickness will be made out of two parallel curves to give it thickness. 



To further refine the shape and do cleanup of overlapping segments convert to mesh and manually fix imperfections.