Small veins under the skin that measure no more than a few millimeters or less are often referred to as spider veins. Smaller veins on the face are often referred to as telangiectasia. These veins often occur as a result of venous insufficiency.
Often when what one looks at the skin there is a pattern of multiple branches like off of a tree or multiple threads of veins heading off in multiple directions like spiderwebs. In and of themselves they are not harmful but more cosmetic in concern.
However to effectively eradicate spider veins one must look for feeder branches that supply the blood to these spider veins. One must try to eliminate these deeper feeder veins in order to prevent recurrence. The more superficial veins or spider veins can be treated at the same time as a feeder vein. Smaller veins such as feeder veins are usually treated with sclerotherapy or microphlebectomy. The finer veins can be treated with sclerotherapy and the very small veins with laser or ohmic ablation. Often times one or several of these techniques are used in a single sitting. If there is abnormality to the superficial larger veins, these may need to be ablated to prevent recurrence.
Telangiectasia on the face can usually be treated very effectively with ohmic ablation or laser therapy.