The Rectilinear Convex Skull Problem

Cover The Rectilinear Convex Skull Problem
The Rectilinear Convex Skull Problem
Derick Wood
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Minima) then define r, ^^ = (resp. T^„ = 0). Lemma 2. i) /? is a rectangle iff t, ^ = iff t^„ = 0. ii) If /? is not rectangular then r^^^ > t^„ and the value of t„j^ - t^„ is a property of R that does not depend on the choice of vq. Proof. We only show non-trivial part ii). First we prove that t, ^, ^ > t^, ,. Qearly R has some local maxima and local minima. Furthermore, these maximas and minimas are alternating in the sense that if i\

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