Red-Blue Intersection Detection Algorithms, With Applications to Motion Planning and Collision Detection (Classic Reprint) - Softcover

Pankaj Agarwal

 
9781332937455: Red-Blue Intersection Detection Algorithms, With Applications to Motion Planning and Collision Detection (Classic Reprint)

Synopsis

This book is a technical report on the detection of intersections between sets of Jordan arcs. It presents several efficient algorithms for determining an intersection between a collection of red arcs and a collection of blue arcs, each set forming the boundary of a simply connected region. The problem of intersection detection is common in fields like motion planning, collision detection, and computer graphics. The book provides valuable insights for researchers in these areas, focusing on the efficiency of the presented algorithms. The algorithms avoid unnecessary computations by restricting the intersection problem to specific faces in the arrangement of the arcs, reducing the time complexity. The book explores the relationship between the number of faces computed and the efficiency of intersection detection, demonstrating that calculating only a small number of faces is sufficient for efficient intersection detection. Additionally, the book discusses applications of these algorithms to motion planning and collision detection, and it explores randomized algorithms for specific types of arcs, such as line segments and circles.

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