An O(n Log N) Algorithm for the Voronoi Diagram of a Set of Simple Curve Segments: Preliminary Version (Classic Reprint) - Softcover

Chee K. Yap

 
9781333598174: An O(n Log N) Algorithm for the Voronoi Diagram of a Set of Simple Curve Segments: Preliminary Version (Classic Reprint)

Synopsis

This book introduces a groundbreaking algorithm that solves the Voronoi diagram problem, greatly improving on existing approaches. Voronoi diagrams are geometric structures used in fields such as biology, computer graphics, geographic optimization, and robotics. The author's novel technique enables the computation of these diagrams in O(nlogn) time, a significant advance over previous O(n^2) algorithms. This enhancement extends the applicability of Voronoi diagrams, facilitating their use in complex real-world scenarios. The book presents clear theoretical explanations and practical implementation details, empowering readers to utilize the algorithm effectively. The author's work expands the capabilities of Voronoi diagrams, offering new possibilities for problem-solving in various domains.

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