Sweeping Points

Given a set of points in the plane, and a sweep-line as a tool, what is best way to move the points to a target point using a sequence of sweeps? In a sweep, the sweep-line is placed at a start position somewhere in the plane, then moved orthogonally and continuously to another parallel end position, and then lifted from the plane. The cost of a sequence of sweeps is the total length of the sweeps. Another parameter of interest is the number of sweeps. Four variants are discussed, depending whether the target is a hole or a pile, and whether the target is specified

• Type: Conference
• Year: 2008
• Where: APPROX
• Authors: Adrian Dumitrescu, Minghui Jiang
• Keywords: Algorithms, APPROX 2008, Parallel End Position, Start Position, Target Point