Very Fast Algorithms for the Area of the Union of Many Circles (Classic Reprint) - Softcover

Inhaltsangabe

Compute the exact area of unions of many circles with clear, step-by-step methods. This book presents algorithms that run in polynomial time and explain how circles interact to form a composite shape.

Structured for practical use, it covers both exact, deterministic approaches and probabilistic Monte Carlo techniques. You’ll find details on data structures, efficiency, and the geometry underlying the union of circles, plus guidance on implementing the methods in exact arithmetic or with careful numeric handling.

• Grounded, reachable explanations of 0(n^2) and 0(n) space algorithms for the union of circles


• Monte Carlo and linear-time Monte Carlo variants to estimate area with provable guarantees


• Techniques for handling intersections, boundary arcs, and the resulting partition of the plane


• Discussion of preprocessing ideas like Voronoi diagrams to accelerate queries

Ideal for readers of computational geometry, algorithm design, and anyone needing practical methods for area calculations of circle unions.

Very Fast Algorithms for the Area of the Union of Many Circles offers a focused, hands-on resource for applying these concepts to real problems.

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