Robotic Research Technical Report (Classic Reprint): On Vertical Visibility in Arrangements of Segments and the Queue Size in the Bentley-Ottman Line Sweeping Algorithm

This technical report by János Pach delves into the complexities of vertical visibility within arrangements of segments. Through rigorous analysis, it presents both the fundamental concepts and advanced nuances related to the challenges posed by visibility in geometric configurations. The report clarifies how segment arrangements can impact visibility and discusses their significance in various applications.

Further, the author explores the Bentley-Ottman line sweeping algorithm, shedding light on the intricacies of queue size in relation to this well-known computational method. By investigating a weaker variant of the problem, Pach opens up new avenues for understanding the algorithm’s efficiencies and potential limitations.

With clarity and precision, Pach provides insights that are invaluable for researchers and practitioners in the field of computational geometry and robotics. This reprint offers a comprehensive overview that encourages further exploration and innovation in algorithmic design and geometric problem-solving strategies.