NURBS curve can always be converted to piecewise Bézier by repeated knot-insertion. Having said that I too prefer spirals. Designing with piecewise Bézier cur

NURBS curve can always be converted to piecewise Bézier by repeated knot-insertion. Having said that I too prefer spirals. Designing with piecewise Bézier curves is just a bad idea. Piecewise Bézier is a fine representation format once the curve is immutably defined. Bézier curves and surfaces, and the Bernstein Polynomial basis have "excellent numerical stability properties" http://mae.engr.ucdavis.edu/~farouki/bernstein.pdf http://mae.engr.ucdavis.edu/~farouki/bernstein.pdf which is just what you need for downstream processing. For example, intersection algorithms in CAD systems. Edit: I just realised that we are talking about polynomial Bézier curves here (rather than rational Bézier), so what I suggested for converting from NURBS to piecewise Bézier isn't going to work in general.