Bridges 2011 Regular Paper
Smooth Self-Similar Curves
(Proceedings pages 209–216)
I present a technique for constructing self-similar curves from
smooth base curves. The technique is similar to that used in Iterated
Function Systems like the Koch curve, except that it does not require
a piecewise linear path in order to induce a set of similarities.
I explain the mathematical machinery behind the technique, describe
a practical numerical approximation that can be implemented in
software, and show some results.