Thanks for the responses,
I'm basically copying of one of the Alan Peters low tables/benches, with the scooped out top.
The top and legs will be made out of 2" sapele laminated together, and is 3 1/2" deep at the thickest and half that in the middle section of the top.
So to clarify, the lamination is to build up the width of the top, and the width of the two legs (just under that of the top)
I'm planning to stop mortise and tennon the legs into the top, as there's no apron to restrict anything, and effectively all the grain is running in the same direction, so movement should in the same plane on all components. I think.
All the planing has been done from rough sawn with a No 6 fore plane, with the 18" sole, and I made up some massive shooting boards to get the edges square. So seems pretty flat and square to me - but, yes I am new to this so I think I'll add splines for safety's sake.
I figure once the top is together, I'll have to plane/scrape everything flush anyway, so as long as the faces which butt up against one another are flat, flushing up should be easy enough except on the little bits of end grain in the concave curve on the top.