Math Is Fun Forum

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

normal displaced cubic bezier, what type of curve is it?

Given a 2d cubic bezier curve:

define a new curve:

for some constant x, aka the curve resulting from displacing the cubic bezier curve c a constant amount along it's normal.

I've determined that the derivative of the new curve is:

which is correct, and this is how i determined the curve 'd' isn't a cubic bezier, by the fact that attempting to render it as one given start end points and tangents results in a totally different curve from an approximation of d directly.

Is d perhaps a rational bezier curve?

Last edited by luca-deltodesco (2010-08-09 00:00:15)

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