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Intersection and Decomposition Algorithms for Planar Arrangements - Hardcover

 
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This book presents a study of various problems related to arrangements of lines, segments, or curves in the plane. The first problem is a proof of almost tight bounds on the length of (n,s)-Davenport-Schinzel sequences, a technique for obtaining optimal bounds for numerous algorithmic problems. Then the intersection problem is treated. The final problem is improving the efficiency of partitioning algorithms, particularly those used to construct spanning trees with low stabbing numbers, a very versatile tool in solving geometric problems. A number of applications are also discussed.

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Book Description

Several geometric problems can be formulated in terms of the arrangements of a collection of curves in a plane, making this one of the most widely studied topics in computational geometry. This 1991 book presents a study of problems related to arrangements of lines or curves in the plane.

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  • PublisherCambridge University Press
  • Publication date1991
  • ISBN 10 0521404460
  • ISBN 13 9780521404464
  • BindingHardcover
  • LanguageEnglish
  • Edition number1
  • Number of pages294

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Hardcover. Condition: new. Hardcover. This book presents a study of various problems related to arrangements of lines, segments, or curves in the plane. The first problem is a proof of almost tight bounds on the length of (n,s)-Davenport-Schinzel sequences, a technique for obtaining optimal bounds for numerous algorithmic problems. Then the intersection problem is treated. The final problem is improving the efficiency of partitioning algorithms, particularly those used to construct spanning trees with low stabbing numbers, a very versatile tool in solving geometric problems. A number of applications are also discussed. This book presents a study of various problems related to arrangements of lines, segments, or curves in the plane. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521404464

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