This is an interesting study.  The problem with all these studies of various treatment modalities is that the rate of success is extremely dependent on the skills of the practitioner. 

Here is a link to the study as discussed on Fox:
http://www.foxnews.com/health/2014/09/25/laser-treatment-best-option-for-varicose-veins/?utm_source=feedburner&utm_medium=feed&utm_campaign=Feed:+foxnews/health+(Internal+-+Health+-+Text)