search - Convex hull with constant size or triangular form -
i know quickhull algorithm runs in theta(n), if convex hull triangular or has constant size.
what's means?
i'm not sure shape (if looks triangle), because algorithm uses 4 extreme points.
thanks
if number of vertices of convex hull, let h
, constant (doesn't depend on n
), quickhull takes time proportional n
(more precisely c1.n < t < c2.n
2 constants c1
, c2
).
when h=3
, hull triangle. regardless way algorithm works, has return triangle. careful implementations should work h=2
(a line segment) or h=1
(a single point).
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