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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer, 1987.

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Efficient Algorithms for Geometric Optimization - Agarwal, Sharir (1998)   (9 citations)  (Correct)

....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.


Geometric Clusterings - Capoyleas, Rote, Woeginger (1991)   (15 citations)  (Correct)

....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.


Two Algorithms for Nearest-Neighbor Search in High Dimensions - Kleinberg (1997)   (91 citations)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer, 1987.


Computational Geometry and Facility Location - Jean-Marc Robert Godfried   (Correct)

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Edelsbrunner, H., Algorithms in Combinatorial Geometry, Springer-Verlag, 1987.


Algorithms for Bivariate Medians and a - Fermat-Torricelli Problem For   (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Berlin, 1987. 14


Combinatorial Properties of One-Dimensional Arrangements - Frederic Cazals Imagis-Imag (1997)   (Correct)

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Edelsbrunner, H. (1986). Algorithms in Combinatorial Geometry. Springer-Verlag.


Harmonic Functions for Quadrilateral Remeshing of.. - Dong, Kircher, Garland (2005)   (2 citations)  (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.


Regular Triangulations of Dynamic Sets of Points - Marc Vigo Uria   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Heidelberg, 1987.


Furthest Site Abstract Voronoi Diagrams - Mehlhorn, Meiser, Rasch   (4 citations)  (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, 1987.


Spectral Partitioning Works:Planar graphs and finite element.. - Spielman, Teng (1996)   (34 citations)  (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, NY, 1987.


On Simulated Annealing and the Construction of Linear Spline.. - Kreylos, Hamann (2001)   (3 citations)  (Correct)

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Edelsbrunner, H., Algorithms in Combinatorial Geometry (1987), Springer -Verlag, New York, NY


Unknown - Ist- Effective Computational   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer Verlag, Heidelberg, 1987.


Efficiency-Quality Tradeoffs for Vector Score Aggregation - Singitham, Mahabhashyam.. (2004)   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, 1987.


On the Number of Cells Defined by a Family of Polynomials.. - Basu, Pollack, Roy   (6 citations)  (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. SpringerVerlag, Berlin, 1987.


The Power Crust - Amenta, Choi, Kolluri (2001)   (11 citations)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer Verlag, (1987). See pages 327--328.


Indexing Constraint Databases by Using a Dual Representation - Bertino Catania.. (1999)   (1 citation)  (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. In EATCS Monographs on Theoretical Computer Science, Vol. 10. 1987.


Planning Algorithms - LaValle (2004)   (3 citations)  (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.


Discrete Applied Mathematics 92 (1999) 91--110 - Planet Software Package   (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer, Berlin, 1987.


Computing the Center of Planar Point Sets - Matousek (2000)   (21 citations)  (Correct)

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H. Edelsbrunner. Algorithms in combinatorial geometry. Springer, 1987.


Constructing Planar Cuttings in Theory and Practice - Har-Peled   (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, 1987.


Hierarchic Voronoi Skeletons - Ogniewicz, Kübler (1995)   (27 citations)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Berlin, (1987).


Computational Geometry Techniques for Point Cloud Processing, Part.. - Rao (2001)   (Correct)

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Edelsbrunner H. Algorithms in Combinatorial geometry. Springer-verlag, 1987.


Improved Bounds for Incidences and Complexity - Of Many Faces (2000)   (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer Verlag, Heidelberg 1987.


Computational Geometry Techniques for Point Cloud Processing, Part I .. - R (2001)   (Correct)

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Edelsbrunner H. Algorithms in Combinatorial geometry. Springer-verlag, 1987. 50


An Optimal Randomized Algorithm for Maximum Tukey Depth - Chan (2004)   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.


On Levels in Arrangements of Curves, II: A Simple Inequality and.. - Chan   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.


Lenses in Arrangements of Pseudo-circles and Their - Applications Pankaj Agarwal   (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer Verlag, Heidelberg, 1987.


Long Monotone Paths in Line Arrangements - Balogh, Regev, Smyth, Steiger.. (2003)   (1 citation)  (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.


Approximate Nearest Neighbor Algorithms for - Hausdorff Metrics Via   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Spinger Verlag, 1987.


The Complexity of Many Faces in the Overlay of Arrangements - Har-Peled (1995)   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Heidelberg, 1987. 38


A Survey of Aspect Graphs - Schiffenbauer (2001)   (Correct)

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Edelsbrunner H., Algorithms in Combinatorial Geometry, Springer-Verlag, 1987.


Monotone Paths in Line Arrangements - With Small Number   (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, 1987.


Cue Integration Using Affine Arithmetic and Gaussians - Goldenstein, Vogler, Metaxas   (Correct)

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Edelsbrunner, H.: Algorithms in combinatorial geometry. Springer-Verlag (1987)


Dynamic Planar Convex Hull Operations in Near-Logarithmic.. - Chan (2000)   (17 citations)  (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.


Efficient State Updates for Key Management - Pinkas (2001)   (2 citations)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, Germany, 1987.


Geometric Pattern Matching - In Dimensional Space   (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, Germany, 1987.


On the Number of Congruent Simplices in a Point Set - Agarwal, Sharir (2002)   (2 citations)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, 1987.


Algorithmic, Geometric and Graphs Issues in Wireless Networks - Li (2002)   (1 citation)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, 1987.


On the Complexity of One-shot Translational Separability - Fabian Schwarzer Achim (2001)   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer, Heidelberg, 1987.


On Levels in Arrangements of Lines, Segments, Planes.. - Agarwal, Aronov, Chan, .. (2001)   (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg 1987.


Smooth-Surface Reconstruction in Near-Linear Time - Funke, Ramos (2002)   (8 citations)  (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer Verlag, Heidelberg, 1987.


Metrika manuscript No. - Will Be Inserted   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.


A Multi-Resolution Topological Representation for.. - De Floriani.. (2002)   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.


Estimating The Number Of Vertices Of A Polyhedron - Avis, Devroye (2000)   (13 citations)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer, Berlin, 1987.


Coverage in Wireless Ad-hoc Sensor Networks - Li, Wan, Frieder (2002)   (5 citations)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, 1987.


Algorithms for Bivariate Medians and a.. - Aloupis.. (2002)   (1 citation)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Berlin, 1987. 14


Three-Dimensional Delaunay Mesh Generation - Cheng, Poon (2004)   (Correct)

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H. Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, Berlin, 1987.


Counting Circular Arc Intersections - Marco (1991)   (5 citations)  (Correct)

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H. Edelsbrunner, Algorithms in Combinatorial Geometry, Springer-Verlag, Heidelberg, 1987.


Noise-Tolerant Distribution-Free Learning of General.. - Bshouty, Goldman, al. (1996)   (12 citations)  (Correct)

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Herbert Edelsbrunner. Algorithms in Combinatorial Geometry. Springer-Verlag, New York, 1987.


Probing a Set of Hyperplanes by Lines and Related Problems - Aoki, Imai, Imai, Rappaport (1993)   (2 citations)  (Correct)

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Edelsbrunner, H., "Algorithms in Combinatorial Geometry," Springer-Verlag, 1987.

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