"These posters of The Beatles were created by American fashion and portrait photographer Richard Avedon. The applied graphics were done by British designer Richard Weigand; after a long career in publishing in New York, Richard Weigand is now Art Director of The New York Times." (http://dappledwithshadow.com/post/156399318423/these-posters-of-the-beatles-were-created-by)
The American photographer took a number of shots of the group in the August 1967 session, 4 of which were later adorned with psychedelic effects. They were first published in the 9 January 1968 edition of the US magazine Look, and were subsequently sold as posters. (http://wogew.blogspot.nl/2016/03/richard-avedons-beatles-portraits.html)