Items related to Robotics Research Technical Report

Robotics Research Technical Report - Softcover

Boris Aronov

 
9781332172856: Robotics Research Technical Report

Synopsis

This book presents a novel algorithm for constructing the geodesic Voronoi diagram, a geometrical tool that finds applications in diverse fields such as facility location and proximity computations. While previous algorithms for this problem required quadratic time, the author presents a linear-time solution. This represents a significant improvement in efficiency and opens up the possibility of solving larger and more complex problems. Furthermore, the book explores the theoretical properties of the geodesic Voronoi diagram, providing insights into its structure and characteristics. The author's work extends the study of Voronoi diagrams using a new kind of metric, contributing to the broader body of knowledge in computational geometry and the optimization of algorithms for geometric computations.

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