Title: Very Fast Algorithms for the Area of the Union of Many Circles Classic Reprint
Publisher: Forgotten Books
Publication Date: 2018
Language: English
ISBN 10: 1333725426
ISBN 13: 9781333725426
Binding: PAP
Condition: New
Weight: 127 grams

About this title

Synopsis

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.

"About this title" may belong to another edition of this title.

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