It was mentioned during lecture that these various subdivision algorithms each have pros and cons, and many were developed during a certain "renaissance" period in the 80's-90's when we finally had the compute to utilize them in practice. Is there still active research in this area to develop better (or simply more alternative) algorithms, or has it been explored fairly exhaustively?
@Kalecgos I came across a recently-published paper titled Old problems and new challenges in subdivision. As stated in the first couple sentences of the abstract, "subdivision has been an active research topic for about 40 years, and it has seen commercial exploitation in animated Computer Graphics; the question has to be asked: 'Is there anything left to do research-wise?'" Their answer is "yes", and while this topic is quite mature at this point, the authors suggest a few open problems potentially worth exploring.