= Subdivision curve
A <subdivision curve> is the limit of repeated refinement of a <control polygon>, when that limit exists. Each finite stage still consists of <line segments>; the limiting <curve> can have a <continuous> <derivative>. Linear stationary rules, which use the same fixed weighted averages at every stage, can be studied through their <subdivision masks> and often represent <splines>. An <interpolation> rule retains the old <control points>, as in <binary linear interpolatory subdivision>; an approximating rule such as <Chaikin subdivision> generally moves away from them. Increasing the number of <control points> alone does not prove convergence or smoothness.
// Target: analysis.bigb
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