Planning a Purely Translational Motion for a Convex Object in Two-dimensional Space Using Generalized Voronoi Diagrams

This technical work explores the problem of planning a purely translational motion for a convex object in two-dimensional space, employing generalized Voronoi diagrams as a key analytical tool. The study focuses on developing algorithmic approaches to navigate a convex object through a complex environment while avoiding collisions. By utilizing Voronoi diagrams, the research provides a structured method for mapping available pathways and optimizing the object's trajectory.

This research provides valuable insights for researchers and practitioners in robotics, computer graphics, and related fields. Its rigorous mathematical framework and practical applications make it a significant contribution to the field of motion planning.

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