Andrew's Monotone Chain Convex Hull Algorithm. Andrew's Monotone Chain Scan A left-to-right variant of Graham's scan Discovered by Andrew in 1979 Using.

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Presentation transcript:

Andrew's Monotone Chain Convex Hull Algorithm

Andrew's Monotone Chain Scan A left-to-right variant of Graham's scan Discovered by Andrew in 1979 Using a linear lexigraphic sort of the point set by the x- and y-coordinates This may be an advantage if this order is already known for a set which is often the case.

The Chain Method Definition : A chain C = ( u 1, …, u p ) is a planar straight-line graph with vertex set { u 1, …, u p } and edge set { (u i, u i+1 ) : i = 1, …, p-1 }

The Monotone Chain Definition : A chain C = ( u 1, …, u p ) is said to be monotone with respect to a straight line L if a line orthogonal to L intersects C in exactly one point.