You're using 'tessellation' in a weird way. Anyway, if you want to calculate optimal knot positions to approximate a curve using some fixed number of straight (

You're using 'tessellation' in a weird way. Anyway, if you want to calculate optimal knot positions to approximate a curve using some fixed number of straight (or polynomial) spline segments, there are a bunch of papers about that, or I think there's a relevant chapter in De Boor's book.