The Complexity of Many Cells in Arrangements of Planes And Related Problems
The Complexity of Many Cells in Arrangements of Planes And Related Problems
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In our eReader you can find the full English version of the book. Read The Complexity of Many Cells in Arrangements of Planes And Related Problems 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 The Complexity of Many Cells in Arrangements of Planes And Related Problems
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To quickly assess the difficulty of the text, read a short excerpt:
For problem (a) we store, for each node v and for each point p, whose dual plane reaches v, the current candidate for the plane ttj lying immediately below p, -. The recursive algorithm can then proceed as follows.
(i) At a node v lying at the bottom of the recursion, we construct the full arrange- ment of the set Ilv of the n^ planes t7, - associated with v, and locate in it each of the wiv corresponding points pj, using the point location algorithm of [EOS] or [Ch]. This can be accomplished i...n time Oim^ log^/iv), and yields initial candidates for the planes lying below each of these points.
(ii) At each internal node v we process the set B^ of all points whose dual planes have reached the parent of v but have missed v, as follows. Let p, be a point in B^. Then the plane pf passes either above all the points ttj € Wt or below all of them. By duality, the point p. - lies either above all the planes tTj ^ Ilv or below all of them. In the latter case, no plane in Ilv can be the plane lying directly below p, -, so these points need not be further processed at v.
What to read after The Complexity of Many Cells in Arrangements of Planes And Related Problems?
You can find similar books in the "Read Also" column, or choose other free books by Herbert Edelsbrunner to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
For problem (a) we store, for each node v and for each point p, whose dual plane reaches v, the current candidate for the plane ttj lying immediately below p, -. The recursive algorithm can then proceed as follows.
(i) At a node v lying at the bottom of the recursion, we construct the full arrange- ment of the set Ilv of the n^ planes t7, - associated with v, and locate in it each of the wiv corresponding points pj, using the point location algorithm of [EOS] or [Ch]. This can be accomplished i...n time Oim^ log^/iv), and yields initial candidates for the planes lying below each of these points.
(ii) At each internal node v we process the set B^ of all points whose dual planes have reached the parent of v but have missed v, as follows. Let p, be a point in B^. Then the plane pf passes either above all the points ttj € Wt or below all of them. By duality, the point p. - lies either above all the planes tTj ^ Ilv or below all of them. In the latter case, no plane in Ilv can be the plane lying directly below p, -, so these points need not be further processed at v.
What to read after The Complexity of Many Cells in Arrangements of Planes And Related Problems?
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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