Tie-dye isn`t a western thing though. Tie-dye is the western name for shibori, a Japanese dying method which has been around since the 8th Century.
The Japanese have more technique than putting some dye on a wet piece of fabric though. (which can be recommended more than buying a fifty quid t-shirt from the High-street). They have developed methods such as Nui Shibori, a method involving a running stitch and a dowel, to tighten the fabric before they use the dye. Other methods invole poles, wood and furious sewing.