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Visibility Algorithms in the Plane

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By Subir Kumar Ghosh
ISBN_13 9781139463256, ISBN_10 113946325X

A human observer can effortlessly identify visible portions of geometric objects present in the environment. However, computations of visible portions of objects from a viewpoint involving thousands of objects is a time consuming task even for high speed computers. To solve such visibility problems, efficient algorithms have been designed. This book presents some of these visibility algorithms in two dimensions. Specifically, basic algorithms for point visibility, weak visibility, shortest paths, visibility graphs, link paths and visibility queries are all discussed. Several geometric properties are also established through lemmas and theorems. With over 300 figures and hundreds of exercises, this book is ideal for graduate students and researchers in the field of computational geometry. It will also be useful as a reference for researchers working in algorithms, robotics, computer graphics and geometric graph theory, and some algorithms from the book can be used in a first course in computational geometry.

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PROSENJIT KUNDU  

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BOOKS

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  • Algorithms and Data Structures
    Kurt Mehlhorn
  • Visibility Algorithms in the Plane
    Subir Kumar Ghosh
  • Computational Geometry
    Mark de Berg
  • Computational Geometry
    Franco P. Preparata
  • Randomized Algorithms
    Rajeev Motwani

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  • Lectures on Discrete Geometry
    Jiri Matousek
  • Computational Geometry
    Mark de Berg

  • The Discrepancy Method
    Bernard Chazelle
  • Introduction to Algorithms, third edition
    Thomas H. Cormen

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