I was inspired by Woven Shibori by Catherine Ellis (Interweave Press, October 1, 2005, ISBN-13: 978-1931499675)  See also http://www.ellistextiles.com/woven_shibori/

She wrote that polyester could be steamed into pleats and I gave it a try with some painted 10/2 cotton warp and polyester weft.  The pleats (red threads in the draft) were created with fishing line taken from my son's fishing reel (he was not home).  Here are the results and one of the drafts.