Thanks Eric, Paul!
I'd never try this free hand and at times it is still a struggle. You are a robo-artist Paul! 😬

Bently,
Yeah, I'd never think that would be possible without Paul or some way to machine cut the curves.

It's just some overlapping circles, quick to CAD draw out or use the Laserburn software tools.

Of course the laser does burn the edges, but not the surfaces. If the fit is good the line between the parts is hidden.
I do use a wipe-over with some clear filler (Aqua-Coat) to get a smooth surface in cross light.
The panel is assembled, veneered, then sanded flat up to 300 P(the veneers are always slightly different thickness).
It could be done on thicker woods but I haven't explored beyond my comfort zone yet.