Generalized Voronoi Diagrams for Moving a Ladder

This technical report explores the application of generalized Voronoi diagrams to the problem of moving a ladder in a constrained environment. Part I focuses on topological analysis, providing a theoretical foundation for understanding the configuration space and its representation using Voronoi diagrams. The report delves into the complexities of motion planning and offers insights into efficient algorithms for navigating obstacles. The research presented in "Generalized Voronoi Diagrams for Moving a Ladder, I. Topological Analysis" is relevant to researchers and practitioners in robotics, computational geometry, and related fields.

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