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New bounds for lower envelopes in three dimensions, with applications to visibility in terrains

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-642-83539-1_9openalex-snapshot
Davenport-Schinzel Sequences and their Geometric Applications
inferredcites →https://doi.org/10.1007/bf02187732openalex-snapshot
The upper envelope of piecewise linear functions and the boundary of a region enclosed by convex plates: Combinatorial analysis
inferredcites →https://doi.org/10.1007/bf02187740openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.1007/bf02187783openalex-snapshot
Combinatorial complexity bounds for arrangements of curves and spheres
inferredcites →https://doi.org/10.1007/bf02574373openalex-snapshot
On the number of views of polyhedral terrains
inferredcites →https://doi.org/10.1007/bf02574384openalex-snapshot
Almost tight upper bounds for lower envelopes in higher dimensions
inferredcites →https://doi.org/10.1007/bf02574706openalex-snapshot
Onk-sets in arrangements of curves and surfaces
inferredcites →https://doi.org/10.1007/bf02579170openalex-snapshot
Nonlinearity of davenport—Schinzel sequences and of generalized path compression schemes
inferredcites →https://doi.org/10.1016/0097-3165(89)90032-0openalex-snapshot
Sharp upper and lower bounds on the length of general Davenport-Schinzel sequences
inferredcites →https://doi.org/10.1016/0304-3975(91)90261-yopenalex-snapshot
A singly exponential stratification scheme for real semi-algebraic varieties and its applications
inferredcites →https://doi.org/10.1016/s0747-7171(08)80070-3openalex-snapshot
On the two-dimensional davenport-schinzel problem
inferredcites →https://doi.org/10.1016/s0747-7171(89)80003-3openalex-snapshot
Visibility problems for polyhedral terrains
inferredcites →https://doi.org/10.1080/00029890.1972.11993188openalex-snapshot
Schubert Calculus
inferredcites →https://doi.org/10.1109/sfcs.1993.366849openalex-snapshot
Near-quadratic bounds for the motion planning problem for a polygon in a polygonal environment
inferredcites →https://doi.org/10.1145/160985.160990openalex-snapshot
On lines missing polyhedral sets in 3-space
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Fly Cheaply: On the Minimum Fuel Consumption Problem
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Robust, Generic and Efficient Construction of Envelopes of Surfaces in Three-Dimensional Spaces
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Computing a Center-Transversal Line
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Arrangements in higher dimensions: Voronoi diagrams, motion planning, and other applications
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An Optimal Hidden-Surface Algorithm and Its Parallelization
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Davenport-Schinzel Sequences and their Geometric Applications
inferred← citeshttps://doi.org/10.1007/bf02570714openalex-snapshot
Almost tight upper bounds for the single cell and zone problems in three dimensions
inferred← citeshttps://doi.org/10.1007/bf02574384openalex-snapshot
Almost tight upper bounds for lower envelopes in higher dimensions
inferred← citeshttps://doi.org/10.1007/bf02712871openalex-snapshot
Efficient randomized algorithms for some geometric optimization problems
inferred← citeshttps://doi.org/10.1007/bf02712877openalex-snapshot
A new technique for analyzing substructures in arrangements of piecewise linear surfaces
inferred← citeshttps://doi.org/10.1007/bf02716576openalex-snapshot
The overlay of lower envelopes and its applications
inferred← citeshttps://doi.org/10.1007/bfb0009487openalex-snapshot
Computing fair and bottleneck matchings in geometric graphs
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Vertical Decomposition of a Single Cell in a Three-Dimensional Arrangement of Surfaces
inferred← citeshttps://doi.org/10.1007/pl00009383openalex-snapshot
Notes on the complexity of exact view graph algorithms for piecewise smooth Algebraic Surfaces
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Geometry Helps in Bottleneck Matching and Related Problems
inferred← citeshttps://doi.org/10.1007/s00453-004-1107-0openalex-snapshot
Matching Polyhedral Terrains Using Overlays of Envelopes
inferred← citeshttps://doi.org/10.1007/s00454-003-2950-5openalex-snapshot
Polyhedral Voronoi Diagrams of Polyhedra in Three Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-006-1263-xopenalex-snapshot
On the Union of κ-Round Objects in Three and Four Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-006-1272-9openalex-snapshot
A Single Cell in an Arrangement of Convex Polyhedra in ${\Bbb R}^3$
inferred← citeshttps://doi.org/10.1007/s00454-006-1278-3openalex-snapshot
Lines Tangent to Four Triangles in Three-Dimensional Space
inferred← citeshttps://doi.org/10.1007/s00454-012-9414-8openalex-snapshot
On the Complexity of Sets of Free Lines and Line Segments Among Balls in Three Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-013-9512-2openalex-snapshot
On Topological Changes in the Delaunay Triangulation of Moving Points
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50002-4openalex-snapshot
Davenport–Schinzel Sequences and Their Geometric Applications**Both authors have been supported by a grant from the U.S.–Israeli Binational Science Foundation. Pankaj Agarwal has also been supported by a National Science Foundation Grant CCR-93–01259, by an Army Research Office MURI grant…
inferred← citeshttps://doi.org/10.1016/b978-044482537-7/50003-6openalex-snapshot
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…
inferred← citeshttps://doi.org/10.1016/j.comgeo.2015.10.009openalex-snapshot
Computing the geodesic centers of a polygonal domain
inferred← citeshttps://doi.org/10.1016/j.compenvurbsys.2013.09.004openalex-snapshot
Football analysis using spatio-temporal tools
inferred← citeshttps://doi.org/10.1016/j.dam.2013.10.013openalex-snapshot
Unreliable point facility location problems on networks
inferred← citeshttps://doi.org/10.1090/conm/453/08794openalex-snapshot
State of the union (of geometric objects)
inferred← citeshttps://doi.org/10.1090/conm/453/08808openalex-snapshot
Line problems in nonlinear computational geometry
inferred← citeshttps://doi.org/10.1109/focs.2013.62openalex-snapshot
On Kinetic Delaunay Triangulations: A Near Quadratic Bound for Unit Speed Motions
inferred← citeshttps://doi.org/10.1109/focs.2018.00030openalex-snapshot
An Improved Bound for Weak Epsilon-Nets in the Plane
inferred← citeshttps://doi.org/10.1109/isvd.2010.12openalex-snapshot
Planar Voronoi Diagrams for Sums of Convex Functions, Smoothed Distance and Dilation
inferred← citeshttps://doi.org/10.1109/sfcs.1993.366835openalex-snapshot
The union of convex polyhedra in three dimensions
inferred← citeshttps://doi.org/10.1109/sfcs.1993.366837openalex-snapshot
Almost tight upper bounds for lower envelopes in higher dimensions
inferred← citeshttps://doi.org/10.1109/sfcs.1997.646093openalex-snapshot
An improved algorithm for quantifier elimination over real closed fields
inferred← citeshttps://doi.org/10.1109/sfcs.2001.959880openalex-snapshot
Almost tight upper bounds for vertical decompositions in four dimensions
inferred← citeshttps://doi.org/10.1109/sfcs.2002.1181989openalex-snapshot
The partition technique for overlays of envelopes
inferred← citeshttps://doi.org/10.1137/s009753970240700xopenalex-snapshot
The Partition Technique for Overlays of Envelopes
inferred← citeshttps://doi.org/10.1137/s0097539702408387openalex-snapshot
3-Dimensional Euclidean Voronoi Diagrams of Lines with a Fixed Number of Orientations
inferred← citeshttps://doi.org/10.1137/s0097539705447116openalex-snapshot
Lines and Free Line Segments Tangent to Arbitrary Three-Dimensional Convex Polyhedra
inferred← citeshttps://doi.org/10.1137/s0097539793250755openalex-snapshot
The Union of Convex Polyhedra in Three Dimensions
inferred← citeshttps://doi.org/10.1137/s0097539793252080openalex-snapshot
Ray Shooting Amidst Spheres in Three Dimensions and Related Problems
inferred← citeshttps://doi.org/10.1137/s0097539794265724openalex-snapshot
Computing Envelopes in Four Dimensions with Applications
inferred← citeshttps://doi.org/10.1145/1017460.1017461openalex-snapshot
Almost tight upper bounds for vertical decompositions in four dimensions
inferred← citeshttps://doi.org/10.1145/1064092.1064099openalex-snapshot
Almost tight bound for a single cell in an arrangement of convex polyhedra in R 3
inferred← citeshttps://doi.org/10.1145/1174429.1174450openalex-snapshot
Oriented convex polyhedra for collision detection in 3D computer animation
inferred← citeshttps://doi.org/10.1145/177424.177436openalex-snapshot
Almost tight upper bounds for the single cell and zone problems in three dimensions
inferred← citeshttps://doi.org/10.1145/177424.178081openalex-snapshot
Computing envelopes in four dimensions with applications
inferred← citeshttps://doi.org/10.1145/1810959.1810969openalex-snapshot
On the complexity of sets of free lines and line segments among balls in three dimensions
inferred← citeshttps://doi.org/10.1145/197405.197408openalex-snapshot
Geometric range searching
inferred← citeshttps://doi.org/10.1145/203610.203613openalex-snapshot
Computational geometry
inferred← citeshttps://doi.org/10.1145/220279.220284openalex-snapshot
Vertical decomposition of shallow levels in 3-dimensional arrangements and its applications
inferred← citeshttps://doi.org/10.1145/220279.220288openalex-snapshot
Voronoi diagrams in higher dimensions under certain polyhedral distance functions
inferred← citeshttps://doi.org/10.1145/220279.220299openalex-snapshot
The overlay of lower envelopes in three dimensions and its applications
inferred← citeshttps://doi.org/10.1145/220279.220301openalex-snapshot
A new technique for analyzing substructures in arrangements
inferred← citeshttps://doi.org/10.1145/220279.220314openalex-snapshot
Efficient randomized algorithms for some geometric optimization problems
inferred← citeshttps://doi.org/10.1145/2261250.2261252openalex-snapshot
On topological changes in the delaunay triangulation of moving points
inferred← citeshttps://doi.org/10.1145/237218.237230openalex-snapshot
Vertical decomposition of a single cell in a three-dimensional arrangement of surfaces and its applications
inferred← citeshttps://doi.org/10.1145/2746228openalex-snapshot
On Kinetic Delaunay Triangulations
inferred← citeshttps://doi.org/10.1145/276884.276900openalex-snapshot
Fly cheaply
inferred← citeshttps://doi.org/10.1145/320211.320240openalex-snapshot
New results on quantifier elimination over real closed fields and applications to constraint databases
inferred← citeshttps://doi.org/10.1145/3555985openalex-snapshot
An Improved Bound for Weak Epsilon-nets in the Plane
inferred← citeshttps://doi.org/10.1145/513400.513427openalex-snapshot
Three dimensional euclidean Voronoi diagrams of lines with a fixed number of orientations
inferred← citeshttps://doi.org/10.1145/513400.513428openalex-snapshot
Polyhedral Voronoi diagrams of polyhedra in three dimensions
inferred← citeshttps://doi.org/10.1145/777792.777822openalex-snapshot
Anisotropic voronoi diagrams and guaranteed-quality anisotropic mesh generation
inferred← citeshttps://doi.org/10.1145/997817.997875openalex-snapshot
On the union of κ-round objects
inferred← citeshttps://doi.org/10.20382/jocg.v9i1a5openalex-snapshot
On the Geodesic Centers of Polygonal Domains
inferred← citeshttps://doi.org/10.48550/arxiv.0812.0607openalex-snapshot
Dilation, smoothed distance, and minimization diagrams of convex functions
inferred← citeshttps://doi.org/10.48550/arxiv.1509.07214openalex-snapshot
Computing the Geodesic Centers of a Polygonal Domain
inferred← citeshttps://doi.org/10.70675/cd706d0dz2107z46a2za552zb472e8e4f7f1openalex-snapshot
Analyse de maillages 3D par morphologie mathématique
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