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Line Transversals of Balls and Smallest Enclosing Cylinders in Three Dimensions
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Geometric Transversal Theory
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Davenport-Schinzel Sequences and their Geometric Applications
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Upper bounds on geometric permutations for convex sets
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Polyhedral line transversals in space
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Helly-type theorems and Generalized Linear Programming
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Almost tight upper bounds for lower envelopes in higher dimensions
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Lower bounds for line stabbing
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The weighted euclidean 1-center problem
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Lower bounds on stabbing lines in 3-space
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Linear-time algorithms for linear programming in R3 and related problems
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Applying Parallel Computation Algorithms in the Design of Serial Algorithms
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Stabbing and ray shooting in 3 dimensional space
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Efficient Algorithms for the Smallest Enclosing Cylinder Problem
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Algebraic Methods for Computing Smallest Enclosing and Circumscribing Cylinders of Simplices
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Lines Tangent to Four Unit Spheres with Coplanar Centres
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Pinning a Line by Balls or Ovaloids in ℝ3
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On the Complexity of Sets of Free Lines and Line Segments Among Balls in Three Dimensions
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Pipes, Cigars, and Kreplach: the Union of Minkowski Sums in Three Dimensions
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Common Tangents to Four Unit Balls in R 3
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Fitting enclosing cylinders to data in R n
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Arrangements and Their Applications**Work by PA. was supported by Army Research Office MURI grant DAAH04-96-1-0013, by a Sloan fellowship, by an NYI award, and by a grant from the U.S.–Israeli Binational Science Foundation. Work by M.S. was supported by NSF Grants CCR-91-22103 and CCR-93-11127, by…
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Geometric permutations of higher dimensional spheres
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Truncated aggregate homotopy method for nonconvex nonlinear programming
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CYLINDRICAL HIERARCHY FOR DEFORMING NECKLACES
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On the complexity of sets of free lines and line segments among balls in three dimensions
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Sharp bounds on geometric permutations of pairwise disjoint balls in R d
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Approximating the diameter, width, smallest enclosing cylinder, and minimum-width annulus
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Homotopy techniques for real-time visualization of geometric tangent problems
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Distance function based algorithm for spatial straightness evaluation
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Geometric approach to string analysis for biosequence classification
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Time Windowed Data Structures
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The number of transversals to line segments in R^3
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Geometric permutations of high dimensional spheres
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