Arrangements of Curves in the Plane Topology Combinatorics And Algorithms
Arrangements of Curves in the Plane Topology Combinatorics And Algorithms
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In our eReader you can find the full English version of the book. Read Arrangements of Curves in the Plane Topology Combinatorics And Algorithms Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Arrangements of Curves in the Plane Topology Combinatorics And Algorithms
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Note that in this case 7, 7^7^ intersect in at most 5 =2 points if we assume general position (see [KLPS] for a more precise statement of this condition and for a proof of this property). -3- Many other problems can be reduced to the analysis of an arrangement of curves. This is the case, for example, when the objects under consideration can be parametrized as points in the plane, and certain properties of such an object vary discontinuously as it crosses certain "critical curves". The arrangem...ent of these curves partitions the plane into "non-critical regions", and construction of these regions is often required to obtain a discrete combinatorial representation of all possi- ble problem states. Such examples, involving motion planning problems, can be found in [SSl], [KO], [MO], [GSS]. A special case of arrangements "which has been studied extensively in the past is that of lines. An important property of such arrangements is the so-called "Zone Theorem" (see [CGL], [EOS], [Ed]) which states the following.
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To quickly assess the difficulty of the text, read a short excerpt:
Note that in this case 7, 7^7^ intersect in at most 5 =2 points if we assume general position (see [KLPS] for a more precise statement of this condition and for a proof of this property). -3- Many other problems can be reduced to the analysis of an arrangement of curves. This is the case, for example, when the objects under consideration can be parametrized as points in the plane, and certain properties of such an object vary discontinuously as it crosses certain "critical curves". The arrangem...ent of these curves partitions the plane into "non-critical regions", and construction of these regions is often required to obtain a discrete combinatorial representation of all possi- ble problem states. Such examples, involving motion planning problems, can be found in [SSl], [KO], [MO], [GSS]. A special case of arrangements "which has been studied extensively in the past is that of lines. An important property of such arrangements is the so-called "Zone Theorem" (see [CGL], [EOS], [Ed]) which states the following.
What to read after Arrangements of Curves in the Plane Topology Combinatorics And Algorithms?
You can find similar books in the "Read Also" column, or choose other free books by Herbert Edelsbrunner to read onlineMoreLess
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