Why would you mention "a brief resurgence" following the first crusade but exclude any mention of the Makedonian dynasty, which was FAR more impactful?
EDIT: Here are some tools for ya
https://en.wikipedia.org/wiki/Macedonian_dynasty
https://en.wikipedia.org/wiki/Nikephoros_II_Phokas
https://en.wikipedia.org/wiki/John_I_Tzimiskes