Very Fast Algorithms for the Area of the Union of Many Circles (Classic Reprint) - Couverture souple
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.
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Very Fast Algorithms for the Area of the Union of Many Circles
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
Paperback. Etat : New. Print on Demand. This book presents two novel algorithms for calculating the combined area of a group of circles on a two-dimensional plane. The first algorithm, deterministic in nature, has an algorithmic complexity of 0(n2), where n denotes the number of circles. The second algorithm is probabilistic, with a complexity of o(n), making it more efficient for larger sets of circles. The author employs recent developments in the field of reliability estimation to establish the fast convergence of the probabilistic method and extends the algorithm to calculate the volume of n-dimensional spheres with complexity 0(nk). The author situates this work within the broader discourse on estimating the area of unions of geometric shapes, providing a valuable resource for researchers and practitioners in computer science and related fields. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N° de réf. du vendeur 9781333725426_0
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Very Fast Algorithms for the Area of the Union of Many Circles Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333725426
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EUR 21,80
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Expédition nationale : Etats-Unis
Expédition nationale : Etats-Unis
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Very Fast Algorithms for the Area of the Union of Many Circles Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 4 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333725426
Acheter neuf
EUR 20,64
Expédition à EUR 3,81
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
Quantité disponible : 15 disponible(s)