mirror of https://github.com/CGAL/cgal
Changed file modes to be non-executable.
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#ifndef CGAL_CONIC_READER_H
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#define CGAL_CONIC_READER_H
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#ifndef CGAL_OVERLAY_FUNCTOR_H
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#define CGAL_OVERLAY_FUNCTOR_H
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// Copyright (c) 1997 Tel-Aviv University (Israel).
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// Copyright (c) 2005 Tel-Aviv University (Israel).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org); you may redistribute it under
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@ -1,4 +1,4 @@
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// Copyright (c) 1997 Tel-Aviv University (Israel).
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// Copyright (c) 2005 Tel-Aviv University (Israel).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org); you may redistribute it under
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@ -1,4 +1,4 @@
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// Copyright(c) 2003 Tel-Aviv University(Israel).
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// Copyright(c) 2005 Tel-Aviv University(Israel).
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// All rights reserved.
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//
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// This file is part of CGAL(www.cgal.org); you may redistribute it under
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@ -1,4 +1,4 @@
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// Copyright (c) 1997 Tel-Aviv University (Israel).
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// Copyright (c) 2005 Tel-Aviv University (Israel).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org); you may redistribute it under
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@ -3,13 +3,13 @@ subdivision of the plane into zero-dimensional, one-dimensional and
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two-dimensional cells, called vertices, edges and faces, respectively,
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induced by the curves in C. Arrangements are ubiquitous in the
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computational-geometry literature and have many applications
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see, e.g., [Pank,Halp]
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in fields like motion planning, computer-aided design, geographical
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information systems, etc.
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The curves in C can intersect each other (a single curve may also
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be self-intersecting or may be comprised of several disconnected
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branches) and are not necessarily $x$-monotone. We construct a
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collection C'' of weakly x-monotone subcurves (continuous x-monotone
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planar curves or vertical segments} that are pairwise disjoint in
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collection C'' of x-monotone subcurves that are pairwise disjoint in
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their interiors. We do it in two steps as follows. First, we decompose
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each curve in C into maximal x-monotone subcurves (and possibly
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isolated points), obtaining the collection C'. Note that an x-monotone
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@ -25,7 +25,7 @@ edge list} data-structure (DCEL for short), which consists of
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containers of vertices, edges, and faces and maintains the incidence
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relations among these objects.
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This package can be used to construct, maintain, alter, and present
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This package can be used to construct, maintain, alter, and display
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arrangements in the plane. Once an arrangement is constructed, the
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package can be used to obtain results of various queries on the
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arrangement, such as point location. The package also includes generic
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@ -34,16 +34,9 @@ zone of an arrangement, and line-sweeping the plane, the arrangements
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is embedded on. These frameworks are used in turn in the
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implementations of other operations on arrangements. Computing the
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overlay of two arrangements, for example, is based on the sweep-line
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framework. Arrangements and arrangement components can be extended to
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store additional data, and it is possible to obtain the originating
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curve of an arrangement subcurve.
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[Pank] Pankaj K. Agarwal and Micha Sharir, "Arrangements and Their
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Applications", J"org-R"udiger Sack and Jorge Urrutia, Handbook of
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Computational Geometry, Elsevier Science Publishers
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B.V. North-Holland, 2000, 49-119.
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[Halp] Dan Halperin, "Arrangements", 24, Jacob E. Goodman and Joseph
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O'Rourke, Handbook of Discrete and Computational Geometry, Chapman &
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Hall/CRC, 2nd edition, 2004, 529-562.
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framework.
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Arrangements and arrangement components can also be extended to store
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additional data. An important extension stores the construction
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history of the arrangement, such that it is possible to obtain the
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originating curve of an arrangement subcurve.
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@ -1,4 +1,3 @@
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Baruch Zukerman <baruchzu@post.tau.ac.il>
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Ron Wein<wein@post.tau.ac.il>
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Efi Fogel <efif@post.tau.ac.il>
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Idit Haran <haranidi@post.tau.ac.il>
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Baruch Zukerman <baruchzu@post.tau.ac.il>
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