Illustrator Scripting :: Apply Blur To Script-generated Path?

I'm working on a scrpit for Illustrator which generates cycloidal curves (hypocycloid, epicycloid, rhodonea) and would like to explore my options for creating a blur across the path. The generated images will be saved as a PNG and then used in another program for an optical research application. So far, I have learned that it is not possible to access any of the effects through javascript. I also looked into applying a graphic style (as found in several other posts), however I need to have control over the amount of blur applied.
 
As an alternative, I've been working with applying a radial gradient across the path (whcih is possible using javascript). This achieves an effect which is 'close enough' however. Here is an image of the result generated using a 'rhodonea' curve:

My issue is: How do I blend the path at the intersections to get something like this (generated with the 'gaussian blur' effect):