These are chat archives for non/algebra

30th
Oct 2017
Pascal GANAYE
@paganaye
Oct 30 2017 22:25
hi is there a mathematician in this plane?
I have a question about beziers surfaces.
The question is: Can I define a bezier surface with only 8 points?
I don't know how to position the center point
jeremyrsmith
@jeremyrsmith
Oct 30 2017 22:51
@paganaye not a mathematician, but if you have 4 corner points then you have 4 control points as well. You could take them in groups of 3, find midpoint of hypotenuse, and take the mean of those midpoints to form a control point for the center?
also take a look at Raph Levien’s PhD thesis (creator of Spiro, http://levien.com/phd/phd.html). I haven’t really, but he talks about lots of properties of curves including inference of bezier control points