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Vertical decompositions for triangles in 3-space

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What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4612-1098-6openalex-snapshot
Computational Geometry
inferredcites →https://doi.org/10.1007/bf01377182openalex-snapshot
Efficient ray shooting and hidden surface removal
inferredcites →https://doi.org/10.1007/bf01840440openalex-snapshot
Fractional cascading: I. A data structuring technique
inferredcites →https://doi.org/10.1007/bf02122778openalex-snapshot
A deterministic view of random sampling and its use in geometry
inferredcites →https://doi.org/10.1007/bf02123007openalex-snapshot
Triangles in space or building (and analyzing) castles in the air
inferredcites →https://doi.org/10.1007/bf02187734openalex-snapshot
The upper envelope of piecewise linear functions: Tight bounds on the number of faces
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/bf02187876openalex-snapshot
ɛ-nets and simplex range queries
inferredcites →https://doi.org/10.1007/bf02187894openalex-snapshot
Planar realizations of nonlinear davenport-schinzel sequences by segments
inferredcites →https://doi.org/10.1007/bf02189314openalex-snapshot
Cutting hyperplanes for divide-and-conquer
inferredcites →https://doi.org/10.1007/bf02573972openalex-snapshot
Range searching with efficient hierarchical cuttings
inferredcites →https://doi.org/10.1007/bf02574015openalex-snapshot
On range searching with semialgebraic sets
inferredcites →https://doi.org/10.1007/bf02574371openalex-snapshot
Castles in the air revisited
inferredcites →https://doi.org/10.1007/bf02574384openalex-snapshot
Almost tight upper bounds for lower envelopes in higher dimensions
inferredcites →https://doi.org/10.1007/bf02579170openalex-snapshot
Nonlinearity of davenport—Schinzel sequences and of generalized path compression schemes
inferredcites →https://doi.org/10.1007/bfb0029813openalex-snapshot
Ray Shooting, Depth Orders and Hidden Surface Removal
inferredcites →https://doi.org/10.1007/bfb0035760openalex-snapshot
A singly-exponential stratification scheme for real semi-algebraic varieties and its applications
inferredcites →https://doi.org/10.1016/0020-0190(89)90136-1openalex-snapshot
Finding the upper envelope of n line segments in O(n log n) time
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/10.1090/dimacs/006/08openalex-snapshot
Algorithms in real algebraic geometry and applications to computational geometry
inferredcites →https://doi.org/10.1108/ir.1999.04926fae.001openalex-snapshot
Lecture Notes in Computer Science 1205
inferredcites →https://doi.org/10.1109/sfcs.1978.3openalex-snapshot
A dichromatic framework for balanced trees
inferredcites →https://doi.org/10.1109/sfcs.1989.63541openalex-snapshot
Output-sensitive hidden surface removal
inferredcites →https://doi.org/10.1109/sfcs.1991.185371openalex-snapshot
Randomized multidimensional search trees: further results in dynamic sampling
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/10.1109/tc.1979.1675432openalex-snapshot
Algorithms for Reporting and Counting Geometric Intersections
inferredcites →https://doi.org/10.1137/0213031openalex-snapshot
Convex Partitions of Polyhedra: A Lower Bound and Worst-Case Optimal Algorithm
inferredcites →https://doi.org/10.1137/0217052openalex-snapshot
A Randomized Algorithm for Closest-Point Queries
inferredcites →https://doi.org/10.1137/0221020openalex-snapshot
Efficient Point Location in a Convex Spatial Cell-Complex
inferredcites →https://doi.org/10.1137/0222051openalex-snapshot
Ray Shooting and Parametric Search
inferredcites →https://doi.org/10.1137/1.9781611970265openalex-snapshot
Data Structures and Network Algorithms
inferredcites →https://doi.org/10.1145/103418.103471openalex-snapshot
Hidden surface removal with respect to a moving view point
inferredcites →https://doi.org/10.1145/103418.103472openalex-snapshot
Dynamic trees and dynamic point location
inferredcites →https://doi.org/10.1145/147508.147511openalex-snapshot
An optimal algorithm for intersecting line segments in the plane
inferredcites →https://doi.org/10.1145/177424.177427openalex-snapshot
Vertical decompositions for triangles in 3-space
inferredcites →https://doi.org/10.1145/195058.195113openalex-snapshot
On lazy randomized incremental construction
inferredcites →https://doi.org/10.1145/73007.73044openalex-snapshot
Lines in space-combinators, algorithms and applications
inferredcites →https://doi.org/10.1145/73393.73394openalex-snapshot
Applications of random sampling in computational geometry, II
inferredcites →https://doi.org/10.2307/2008200openalex-snapshot
Computational Geometry--An Introduction.

What points at this work

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

inferred← citeshttps://doi.org/10.1007/10705474_10openalex-snapshot
Realistic Environment Models and Their Impact on the Exact Solution of the Motion Planning Problem
inferred← citeshttps://doi.org/10.1007/3-540-46691-6_1openalex-snapshot
Recent Developments in the Theory of Arrangements of Surfaces
inferred← citeshttps://doi.org/10.1007/3-540-63307-3_44openalex-snapshot
Dynamic motion planning in low obstacle density environments
inferred← citeshttps://doi.org/10.1007/978-3-032-09970-9_22openalex-snapshot
Localization with Single or Antipodal Distance Measurements
inferred← citeshttps://doi.org/10.1007/978-3-540-27810-8_11openalex-snapshot
Matching Polyhedral Terrains Using Overlays of Envelopes
inferred← citeshttps://doi.org/10.1007/978-3-540-73951-7_41openalex-snapshot
Cuttings for Disks and Axis-Aligned Rectangles
inferred← citeshttps://doi.org/10.1007/978-3-642-45030-3_5openalex-snapshot
Structure and Computation of Straight Skeletons in 3-Space
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/s00453-004-1107-0openalex-snapshot
Matching Polyhedral Terrains Using Overlays of Envelopes
inferred← citeshttps://doi.org/10.1007/s00453-008-9219-6openalex-snapshot
Exact Minkowksi Sums of Polyhedra and Exact and Efficient Decomposition of Polyhedra into Convex Pieces
inferred← citeshttps://doi.org/10.1007/s004539910025openalex-snapshot
A General Framework for Assembly Planning: The Motion Space Approach
inferred← citeshttps://doi.org/10.1007/s00454-003-2871-3openalex-snapshot
Sharp Bounds for Vertical Decompositions of Linear Arrangements in Four Dimensions
inferred← citeshttps://doi.org/10.1007/s00454-009-9158-2openalex-snapshot
Cuttings for Disks and Axis-Aligned Rectangles in Three-Space
inferred← citeshttps://doi.org/10.1007/s00454-023-00572-3openalex-snapshot
Throwing a Sofa Through the Window
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.cad.2004.01.004openalex-snapshot
Fast swept volume approximation of complex polyhedral models
inferred← citeshttps://doi.org/10.1016/j.comgeo.2005.02.003openalex-snapshot
Counting and representing intersections among triangles in three dimensions
inferred← citeshttps://doi.org/10.1016/j.comgeo.2008.06.003openalex-snapshot
Translational packing of arbitrary polytopes
inferred← citeshttps://doi.org/10.1016/s0925-7721(98)00023-6openalex-snapshot
Spheres, molecules, and hidden surface removal
inferred← citeshttps://doi.org/10.1016/s0925-7721(98)00026-1openalex-snapshot
Dynamic motion planning in low obstacle density environments
inferred← citeshttps://doi.org/10.1090/conm/223/03131openalex-snapshot
Geometric range searching and its relatives
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/svv.1998.729589openalex-snapshot
An exact interactive time visibility ordering algorithm for polyhedral cell complexes
inferred← citeshttps://doi.org/10.1111/j.1467-8659.2010.01770.xopenalex-snapshot
Polygonal Boundary Evaluation of Minkowski Sums and Swept Volumes
inferred← citeshttps://doi.org/10.1137/s0097539703435686openalex-snapshot
Curve-Sensitive Cuttings
inferred← citeshttps://doi.org/10.1137/s0097539704444245openalex-snapshot
Output-Sensitive Construction of the Union of Triangles
inferred← citeshttps://doi.org/10.1137/s0097539795295936openalex-snapshot
Vertical Decomposition of Shallow Levels in 3-Dimensional Arrangements and Its Applications
inferred← citeshttps://doi.org/10.1145/1017460.1017461openalex-snapshot
Almost tight upper bounds for vertical decompositions in four dimensions
inferred← citeshttps://doi.org/10.1145/195058.195112openalex-snapshot
On point location and motion planning among simplices
inferred← citeshttps://doi.org/10.1145/203610.606409openalex-snapshot
Technical Report Column
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/10.1145/276884.276886openalex-snapshot
A general framework for assembly planning
inferred← citeshttps://doi.org/10.1145/288126.288170openalex-snapshot
An exact interactive time visibility ordering algorithm for polyhedral cell complexes
inferred← citeshttps://doi.org/10.1145/304893.304965openalex-snapshot
Controlled perturbation for arrangements of polyhedral surfaces with application to swept volumes
inferred← citeshttps://doi.org/10.1145/513400.513437openalex-snapshot
Improved construction of vertical decompositions of three-dimensional arrangements
inferred← citeshttps://doi.org/10.1145/777792.777814openalex-snapshot
Curve-sensitive cuttings
inferred← citeshttps://doi.org/10.1145/781606.781613openalex-snapshot
Fast swept volume approximation of complex polyhedral models
inferred← citeshttps://doi.org/10.1145/997817.997851openalex-snapshot
Counting and representing intersections among triangles in three dimensions
inferred← citeshttps://doi.org/10.1163/156855397x00281openalex-snapshot
Assembly partitioning along simple paths: the case of multiple translations
inferred← citeshttps://doi.org/10.1177/027836402320556412openalex-snapshot
Robust Geometric Computing in Motion
inferred← citeshttps://doi.org/10.1177/02783649922066222openalex-snapshot
Caging Planar Bodies by One-Parameter Two-Fingered Gripping Systems
inferred← citeshttps://doi.org/10.5555/982792.982852openalex-snapshot
Output-sensitive construction of the union of triangles
inferred← citeshttps://doi.org/10.70675/cd706d0dz2107z46a2za552zb472e8e4f7f1openalex-snapshot
Analyse de maillages 3D par morphologie mathématique
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