Synopsis
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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Intersection and Decomposition Algorithms for Planar Arrangements
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ISBN 10: 0521168473
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Intersection and Decomposition Algorithms for Planar Arrangements (Paperback)
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ISBN 10: 0521168473
ISBN 13: 9780521168472
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Paperback. Condition: new. Paperback. Several geometric problems can be formulated in terms of the arrangement of a collection of curves in a plane, which has made this one of the most widely studied topics in computational geometry. This book, first published in 1991, 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)-DavenportSchinzel 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. Researchers in computational and combinatorial geometry should find much to interest them in this book. 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 book, first published in 1991, presents a study of problems related to arrangements of lines or curves in the plane. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521168472
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Intersection and Decomposition Algorithms for Planar Arrangements
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Intersection and Decomposition Algorithms for Planar Arrangements (Paperback)
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ISBN 10: 0521168473
ISBN 13: 9780521168472
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Paperback. Condition: new. Paperback. Several geometric problems can be formulated in terms of the arrangement of a collection of curves in a plane, which has made this one of the most widely studied topics in computational geometry. This book, first published in 1991, 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)-DavenportSchinzel 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. Researchers in computational and combinatorial geometry should find much to interest them in this book. 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 book, first published in 1991, presents a study of problems related to arrangements of lines or curves in the plane. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521168472
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Intersection and Decomposition Algorithms for Planar Arrangements
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 book, first published in 1991, presents a study of problems rel. Seller Inventory # 446928488
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