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Visibility Algorithms in the Plane
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  • Cited by 63
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    This (lowercase (translateProductType product.productType)) has been cited by the following publications. This list is generated based on data provided by CrossRef.

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    Nouri Bygi, M. and Ghodsi, M. 2017. Weak visibility queries of line segments in simple polygons and polygonal domains. International Journal of Computer Mathematics, p. 1.

    Emadi, Hamid Gao, Tianshuang and Bhattacharya, Sourabh 2017. Visibility-Based Target-Tracking Game: Bounds and Tracking Strategies. IEEE Robotics and Automation Letters, Vol. 2, Issue. 4, p. 1917.

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    Aichholzer, Oswin Kusters, Vincent Mulzer, Wolfgang Pilz, Alexander and Wettstein, Manuel 2017. An Optimal Algorithm for Reconstructing Point Set Order Types from Radial Orderings. International Journal of Computational Geometry & Applications, Vol. 27, Issue. 01n02, p. 57.

    Cardinal, Jean and Hoffmann, Udo 2017. Recognition and Complexity of Point Visibility Graphs. Discrete & Computational Geometry, Vol. 57, Issue. 1, p. 164.

    Fox-Epstein, Eli Tóth, Csaba D. and Winslow, Andrew 2016. Diffuse Reflection Radius in a Simple Polygon. Algorithmica, Vol. 76, Issue. 4, p. 910.

    Sergey, Ilya 2016. Experience report: growing and shrinking polygons for random testing of computational geometry algorithms. p. 193.

    Tozoni, Davi C. Rezende, Pedro J. De and Souza, Cid C. De 2016. Algorithm 966. ACM Transactions on Mathematical Software, Vol. 43, Issue. 2, p. 1.

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    Tsardoulias, E. G. Iliakopoulou, A. Kargakos, A. and Petrou, L. 2016. A Review of Global Path Planning Methods for Occupancy Grid Maps Regardless of Obstacle Density. Journal of Intelligent & Robotic Systems, Vol. 84, Issue. 1-4, p. 829.

    Maheshwari, Anil Nandy, Subhas C. Pattanayak, Drimit Roy, Sasanka and Smid, Michiel 2016. Geometric Path Problems with Violations. Algorithmica,

    Sergey, Ilya 2016. Experience report: growing and shrinking polygons for random testing of computational geometry algorithms. ACM SIGPLAN Notices, Vol. 51, Issue. 9, p. 193.

    Adiceam, Faustin 2016. How Far Can You See in a Forest?. International Mathematics Research Notices, Vol. 2016, Issue. 16, p. 4867.

    Roy, Bodhayan 2016. Point Visibility Graph Recognition is NP-Hard. International Journal of Computational Geometry & Applications, Vol. 26, Issue. 01, p. 1.

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    Visibility Algorithms in the Plane
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Book description

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.


'… the book gives a good overview of visibility algorithms in the plane, concentrating on basic algorithms but also covering the state of the art.'

Source: Mathematical Reviews

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