Bezier curves
... what i learned today , math , cabri
wed 2005jan19 20:30:37 pst
... permalink
Yesterday I learned the math behind Bezier curves. Ever since I first
started playing with a vector graphics program (probably MacDraw or
SuperPaint, way back in the day), I always wondered what they were,
and how those little handles manipulate the shape of the curve. Turns
out the math is pretty cool.
Of course there's a whole lot of algrebra surrounding it  basically,
they're piecewise cubic polynomials. But what's most interesting is
the meaning of those little handles in the drawing programs. In
particular, there turns out to be this really elegant geometric
construction.
( the construction )
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