English to Dutch Other Sports / Fitness / Recreation Falconry / Valkerij

Good evening. Im having a little trouble with some falconry terminology, could you please help me find an equivalent from English into Dutch for the above term?

In medieval times they would have used an aba or towel to restrain and inmobilise the bird, but now they use a sort of corset or jacket (see below). This is for holding the bird steady and not damaging its plumage when examining, putting on equipment etc

Thanks!

www.castingjacket.co.uk