
doi: 10.1007/bf01934440
An algorithm for the geometric problem of determining a line (called a stabbing line) which intersects each ofn given line segments in the plane is presented. As a matter of fact, the algorithm computes a description of all stabbing lines. A purely geometric fact is proved which infers that this description requiresO(n) space to be specified. Our algorithm computes it inO(n logn) time which is optimal in the worst case.
algorithm, Analysis of algorithms and problem complexity, geometric transform, 22, 274-281 (1982), plane-sweep, data structures, Discrete mathematics in relation to computer science, computational geometry, divide-and-conquer, dynamization
algorithm, Analysis of algorithms and problem complexity, geometric transform, 22, 274-281 (1982), plane-sweep, data structures, Discrete mathematics in relation to computer science, computational geometry, divide-and-conquer, dynamization
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