Efficient Detection of Intersections Among Spheres
Efficient Detection of Intersections Among Spheres
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In our eReader you can find the full English version of the book. Read Efficient Detection of Intersections Among Spheres 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 Efficient Detection of Intersections Among Spheres
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V(r^. Z^- y-, . Y-^ ', ;) is handled in time 0(log-". — . ' ). Where : is the total number of spheres satiifying the query condi- tions.
This description of the data structure T completes the definition of our algorithm and the analysis of its complexity. We now turn to prove the correctness of the algorithm, h is plain that the algorithm never reports a spurious intersection. Keace »e only need to show that if any two spheres in S intersect each other, then at least one such intersection will ...be detected in at least one sweep performed by the algorithm. In fact we will show thai the intersection between the two spheres ^i. I^ ^°^ which min(ri. R-;) is maximal mtist be detected in at kast one sweep of the ;3t8 n? b'^MTi'jiZ&q ••asi -5- algorithm. Suppose that these two spheres s^, 3o 6 S intersect each other, and let their centers be Ci, Co and their radii be rj, r2 respectively, so that ri
What to read after Efficient Detection of Intersections Among Spheres?
You can find similar books in the "Read Also" column, or choose other free books by J E Hopcroft to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
V(r^. Z^- y-, . Y-^ ', ;) is handled in time 0(log-". — . ' ). Where : is the total number of spheres satiifying the query condi- tions.
This description of the data structure T completes the definition of our algorithm and the analysis of its complexity. We now turn to prove the correctness of the algorithm, h is plain that the algorithm never reports a spurious intersection. Keace »e only need to show that if any two spheres in S intersect each other, then at least one such intersection will ...be detected in at least one sweep performed by the algorithm. In fact we will show thai the intersection between the two spheres ^i. I^ ^°^ which min(ri. R-;) is maximal mtist be detected in at kast one sweep of the ;3t8 n? b'^MTi'jiZ&q ••asi -5- algorithm. Suppose that these two spheres s^, 3o 6 S intersect each other, and let their centers be Ci, Co and their radii be rj, r2 respectively, so that ri
What to read after Efficient Detection of Intersections Among Spheres?
You can find similar books in the "Read Also" column, or choose other free books by J E Hopcroft to read onlineMoreLess
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