The display is introduced by an essay, "Why Vestments?" authored by a man who probably knows more about the topic than anybody else today: Warren Woodfin, author of a book noted on here several years ago and worth drawing to your attention again:
The Embodied Icon: Liturgical Vestments and Sacramental Power in Byzantium (Oxford, 2012), 384pp.
In spite of the Orthodox liturgy's reputation for resistance to change, Byzantine liturgical dress underwent a period of extraordinary elaboration from the end of the eleventh century onwards. As part of this development, embroideries depicting holy figures and scenes began to appear on the vestments of the clergy. Examining the surviving Byzantine vestments in conjunction with contemporary visual and textual evidence, Woodfin relates their embroidered imagery both to the program of images used in churches, and to the hierarchical code of dress prevailing in the imperial court. Both sets of visual cross-references serve to enforce a reading of the clergy as living icons of Christ. Finally, the book explores the competing configurations of the hierarchy of heaven as articulated in imperial and ecclesiastical art. It shows how the juxtaposition of real embroidered vestments with vestments depicted in paintings, allowed the Orthodox hierarchy to represent itself as a direct extension of the hierarchy of heaven.
Drawing on the best of recent scholarship in Byzantine liturgy, monumental painting, and textile studies, Woodfin's volume is the first major illustrated study of Byzantine embroidered vestments to appear in over forty years.