Here's the file with the rebuilt object. If you are doing some type of reverse engineering/scanning operation that is creating these scrambled curves, and there is a need to "adhere" (you will see my result is slightly different than the original) then your only option would be to slowly go down each curve, looking for those little folds, and deleting the 1 point that creates the fold. Once all those are out, the original file would chamfer also.