I am baking a simple displacement from several Bezier curves. The curves are beveled and set to full. Whenever I bake the displacement map, I get several small errors. Here is the baked .exr applied via a displace modifier to a heavily subdivided plane. Several of the baking errors are circled in the image below.

What is the cause of the errors? What can I do to get rid of them during the baking process? Because I can not edit the image externally with out compression artifacts.
The blend file, just open and press bake.

