| H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer, 1987. |
....2.2 An example: The slope selection problem As an illustration, consider the slope selection problem: Given a set of n points in the plane and an integer k , determine a segment connecting two input points that has the k th smallest slope among all such segments. Using the duality transform [108], we can formulate this problem as follows: We are given a set L of n nonvertical lines in the plane and an integer 1 k , and we wish to find an intersection point between two lines of L that has the k th smallest x coordinate. We assume, for simplicity, general position of the lines, so ....
....of L that has the k th smallest x coordinate. We assume, for simplicity, general position of the lines, so that no three lines are concurrent, and no two intersection points have the same x coordinate. We are thus seeking the k th leftmost vertex of the arrangement A(L) of the lines in L; see [108, 254] for more details concerning arrangements. We define P( to be true if the x coordinates of at most k vertices of A(L) are smaller than or equal to . Obviously, P( is monotone, and , the maximum value of for which P( is true, is the x coordinate of the desired vertex. After having ....
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, 1987.
....chordale of the two disks. It is defined for any pair of non concentric disks. If we partition the plane by assigning every point to the disk D i for which its power d(x, M i ) is minimal, we get the so called power diagram (cf. Aurenhammer [2] Imai, Iri, and Murota [12] or Edelsbrunner [7], section 13.6) It is known that the power diagram is a dissection of the plane into (at most) k convex polygonal regions, very much like in the case of Voronoi diagrams, which are a special case of power diagrams where all radii are equal. Since for each point p P , d(x, M i ) 0 for ....
H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer Verlag, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer, 1987.
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Edelsbrunner, H., Algorithms in Combinatorial Geometry, Springer-Verlag, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Berlin, 1987. 14
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Edelsbrunner, H. (1986). Algorithms in Combinatorial Geometry. Springer-Verlag.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Heidelberg, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, NY, 1987.
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Edelsbrunner, H., Algorithms in Combinatorial Geometry (1987), Springer -Verlag, New York, NY
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer Verlag, Heidelberg, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. SpringerVerlag, Berlin, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer Verlag, (1987). See pages 327--328.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. In EATCS Monographs on Theoretical Computer Science, Vol. 10. 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer, Berlin, 1987.
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H. Edelsbrunner. Algorithms in combinatorial geometry. Springer, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Berlin, (1987).
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Edelsbrunner H. Algorithms in Combinatorial geometry. Springer-verlag, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer Verlag, Heidelberg 1987.
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Edelsbrunner H. Algorithms in Combinatorial geometry. Springer-verlag, 1987. 50
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer Verlag, Heidelberg, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Spinger Verlag, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Heidelberg, 1987. 38
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Edelsbrunner H., Algorithms in Combinatorial Geometry, Springer-Verlag, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, 1987.
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Edelsbrunner, H.: Algorithms in combinatorial geometry. Springer-Verlag (1987)
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, Germany, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, Germany, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer, Heidelberg, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer Verlag, Heidelberg, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer, Berlin, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Berlin, 1987. 14
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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.
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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, 1987.
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Herbert Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, New York, 1987.
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Edelsbrunner, H., "Algorithms in Combinatorial Geometry," Springer-Verlag, 1987.
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