how to create lines between all consecutive notes?

[Rama Gottfried]

Dear lilypond-ers,

I've just joined the list, and am gearing up to seriously use lilypond for the 
first time in a large ensemble piece. In the past years, I have been making my 
scores by hand, and recently in Illustrator, but now need to be able to make 
parts quickly, so am going to take the plunge into the lilypond : )  Thanks for 
all your work!  I'm excited to dig in.

Question: 

I would like to notate bow position with bezier curves as "noteheads", where 
the noteheads mark the start and end points of the curve, and then ideally use 
some other parameter to control a handle on the curve.  The idea being that if 
the line is attached the the notehead point that I could still take advantage 
of line break rules, etc.

Any advice on how to implement this would be much appreciated!

I have successfully made some customized noteheads using markups with \override 
NoteHead #'text = #(...markup...), but I'm unclear on how to draw lines or 
curves between notes (i.e. anchoring on the following note).

I've also looked a little at the Scheme tutorial, and am starting to maybe see 
a way to iterate through the notheads and draw the curves this way using the 
notehead coordinates... but I'm still new to Scheme, so it's still not 
completely clear.

many thanks again for your work and advice --

with cheers,
rama