Refinishing what I think is a rosewood tabletop, help!  

I believe that is teak. Dark teak that has seen very little sunlight. But I could be wrong. A sharp closeup of the grain would answer the question.
That VM mark you posted in the last acquired thread is Vildbjerg Møbelfabrik. I have never even any evidence that Kai Kristiansen designed for the company at all, although I have seen it stated here and there on the Internet. I would not believe it until I saw some actual proof.

Thanks Lief! Whoever designed it, it's a piece of art in the way it works! I've added some close up photos, let me know what you think!

Teak

Thanks Leif! Any recommendations for refinishing it?

It looks like it has a thicker film finish on it that was used later. (Most Vildbjerg stuff seems to be later). So perhaps strip it, and oil it with teak oil. If there are any scratches in the wood, you could address them after stripping it.
Looks pretty straightforward.

Thanks Leif, I'm going to attempt it this weekend. I assumed it was rosewood as I have never seen teak with that lovely patterning before. I've never worked on rosewood so I was apprehensive, but I have worked with teak so feeling reassured!

Some teak is darker than others. Also the dark stripes are the first to be bleached out by UV light as dark colors absorb more UV, and UV is the strongest most bleaching frequency in light. My point being that most teak furniture bought second hand has seen more than enough UV to have bleached out the dark stripes.
It is interesting to realize that hat the first buyers were not buying teak in the warm orange tone we usually see, but rather in the dark striped tones of this table.
(Rio rosewood starts out very dark nearly black sometimes, so the fascinating grain we associate with it is not much visible until UV has lightened it a bit.)

I agree, the other ones of this table I've seen have been in that warm orange tone. I really like the tiger like quality to my table, and can wait to see how it looks with the years of gunk sanded off and oiled. I can live with the scratches, if they come out as I sand all well and good.