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Ray shooting on 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/10.1007/3-540-15198-2_9openalex-snapshot
Fast searching in a real algebraic manifold with applications to geometric complexity
inferredcites →https://doi.org/10.1007/978-3-642-61568-9openalex-snapshot
Algorithms in Combinatorial Geometry
inferredcites →https://doi.org/10.1007/978-3-642-83539-1_42openalex-snapshot
Ray Tracing Algorithms — Theory and Practice
inferredcites →https://doi.org/10.1007/978-3-642-99970-3openalex-snapshot
Analytic Inequalities
inferredcites →https://doi.org/10.1007/bf01377182openalex-snapshot
Efficient ray shooting and hidden surface removal
inferredcites →https://doi.org/10.1007/bf01934440openalex-snapshot
Stabbing line segments
inferredcites →https://doi.org/10.1007/bf02187805openalex-snapshot
Partitioning arrangements of lines I: An efficient deterministic algorithm
inferredcites →https://doi.org/10.1007/bf02187809openalex-snapshot
Partitioning arrangements of lines II: Applications
inferredcites →https://doi.org/10.1007/bf02187879openalex-snapshot
New applications of random sampling in computational geometry
inferredcites →https://doi.org/10.1007/bfb0028245openalex-snapshot
On the zone of a surface in a hyperplane arrangement
inferredcites →https://doi.org/10.1007/bfb0028246openalex-snapshot
Ray-shooting and isotopy classes of lines in 3-dimensional space
inferredcites →https://doi.org/10.1007/bfb0028277openalex-snapshot
Applications of a new space partitioning technique
inferredcites →https://doi.org/10.1007/bfb0028837openalex-snapshot
Intersecting two polyhedra one of which is convex
inferredcites →https://doi.org/10.1007/bfb0032047openalex-snapshot
Determining the separation of preprocessed polyhedra — A unified approach
inferredcites →https://doi.org/10.1016/0020-0190(88)90120-2openalex-snapshot
The shortest watchtower and related problems for polyhedral terrains
inferredcites →https://doi.org/10.1016/0146-664x(82)90169-1openalex-snapshot
Ray casting for modeling solids
inferredcites →https://doi.org/10.1016/0196-8858(83)90014-3openalex-snapshot
On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds
inferredcites →https://doi.org/10.1016/0304-3975(78)90051-8openalex-snapshot
Finding the intersection of two convex polyhedra
inferredcites →https://doi.org/10.1016/s0747-7171(08)80065-xopenalex-snapshot
An algorithm for generalized point location and its applications
inferredcites →https://doi.org/10.1016/s0747-7171(89)80003-3openalex-snapshot
Visibility problems for polyhedral terrains
inferredcites →https://doi.org/10.1038/133967a0openalex-snapshot
Analytical Geometry of Three Dimensions
inferredcites →https://doi.org/10.1109/sfcs.1988.21975openalex-snapshot
An optimal algorithm for intersecting line segments in the plane
inferredcites →https://doi.org/10.1109/sfcs.1989.63539openalex-snapshot
An optimal algorithm for intersecting three-dimensional convex polyhedra
inferredcites →https://doi.org/10.1109/sfcs.1989.63541openalex-snapshot
Output-sensitive hidden surface removal
inferredcites →https://doi.org/10.1109/sfcs.1991.185345openalex-snapshot
An optimal convex hull algorithm and new results on cuttings
inferredcites →https://doi.org/10.1137/0215024openalex-snapshot
Constructing Arrangements of Lines and Hyperplanes with Applications
inferredcites →https://doi.org/10.1137/0217052openalex-snapshot
A Randomized Algorithm for Closest-Point Queries
inferredcites →https://doi.org/10.1145/109648.109651openalex-snapshot
Efficient ray shooting and hidden surface removal
inferredcites →https://doi.org/10.1145/109648.109682openalex-snapshot
On the sum of squares of cell complexities in hyperplane arrangements
inferredcites →https://doi.org/10.1145/12130.12172openalex-snapshot
Constructing higher-dimensional convex hulls at logarithmic cost per face
inferredcites →https://doi.org/10.1145/15886.15916openalex-snapshot
Ray tracing complex scenes
inferredcites →https://doi.org/10.1145/37401.37409openalex-snapshot
Fast ray tracing by ray classification
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/10.1145/73393.73399openalex-snapshot
The complexity of many faces in arrangements of lines of segments
inferredcites →https://doi.org/10.1145/73393.73412openalex-snapshot
Hidden surface removal for rectangles
inferredcites →https://doi.org/10.1145/73393.73413openalex-snapshot
An efficient output-sensitive hidden surface removal algorithm and its parallelization
inferredcites →https://doi.org/10.1145/73393.73431openalex-snapshot
Arrangements of lines in 3-space: a data structure with applications
inferredcites →https://doi.org/10.1145/73833.73836openalex-snapshot
Binary partitions with applications to hidden surface removal and solid modelling
inferredcites →https://doi.org/10.1145/98524.98528openalex-snapshot
Cutting hyperplane arrangements
inferredcites →https://doi.org/10.1145/98524.98532openalex-snapshot
Quasi-optimal upper bounds for simplex range searching and new zone theorems
inferredcites →https://doi.org/10.1145/98524.98561openalex-snapshot
Merging visibility maps
inferredcites →https://doi.org/10.1145/98524.98563openalex-snapshot
Stabbing and ray shooting in 3 dimensional space
inferredcites →https://doi.org/10.2307/2325168openalex-snapshot
Algorithms in Combinatorial Geometry.
inferredcites →https://doi.org/10.5555/320176.320188openalex-snapshot
Visibility with a moving point of view

What points at this work

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

inferred← citeshttps://doi.org/10.1006/jagm.1996.0038openalex-snapshot
Repetitive Hidden Surface Removal for Polyhedra
inferred← citeshttps://doi.org/10.1007/3-540-57155-8_278openalex-snapshot
Repetitive hidden-surface-removal for polyhedral scenes
inferred← citeshttps://doi.org/10.1007/978-3-540-75520-3_27openalex-snapshot
Linear Data Structures for Fast Ray-Shooting Amidst Convex Polyhedra
inferred← citeshttps://doi.org/10.1007/bf02574015openalex-snapshot
On range searching with semialgebraic sets
inferred← citeshttps://doi.org/10.1007/bf02574376openalex-snapshot
On lines missing polyhedral sets in 3-space
inferred← citeshttps://doi.org/10.1007/bf02684409openalex-snapshot
Worst-case versus average case complexity of ray-shooting
inferred← citeshttps://doi.org/10.1007/pl00009297openalex-snapshot
Monte carlo approximation of form factors with error bounded a priori
inferred← citeshttps://doi.org/10.1007/pl00009427openalex-snapshot
Line Transversals of Balls and Smallest Enclosing Cylinders in Three Dimensions
inferred← citeshttps://doi.org/10.1007/s00453-008-9220-0openalex-snapshot
Linear Data Structures for Fast Ray-Shooting amidst Convex Polyhedra
inferred← citeshttps://doi.org/10.1007/s00453-024-01284-7openalex-snapshot
Line Intersection Searching Amid Unit Balls in 3-Space
inferred← citeshttps://doi.org/10.1007/s00454-024-00656-8openalex-snapshot
Intersection Searching amid Tetrahedra in Four Dimensions
inferred← citeshttps://doi.org/10.1007/s10589-010-9354-2openalex-snapshot
A local search algorithm for ray-convex polyhedron intersection
inferred← citeshttps://doi.org/10.1016/j.comgeo.2004.08.004openalex-snapshot
Local polyhedra and geometric graphs
inferred← citeshttps://doi.org/10.1016/j.comgeo.2007.10.006openalex-snapshot
Ray shooting and intersection searching amidst fat convex polyhedra in 3-space
inferred← citeshttps://doi.org/10.1016/j.comgeo.2012.02.001openalex-snapshot
Watchman tours for polygons with holes
inferred← citeshttps://doi.org/10.1016/j.tcs.2025.115461openalex-snapshot
Combinatorial characterizations and algorithms for trajectory planning of an articulated robotic probe in three dimensions
inferred← citeshttps://doi.org/10.1016/s0097-8493(99)00093-xopenalex-snapshot
Interactive ray tracing with the visibility complex
inferred← citeshttps://doi.org/10.1090/conm/223/03131openalex-snapshot
Geometric range searching and its relatives
inferred← citeshttps://doi.org/10.1109/2945.597797openalex-snapshot
The lazy sweep ray casting algorithm for rendering irregular grids
inferred← citeshttps://doi.org/10.1109/focs.2012.32openalex-snapshot
On Range Searching with Semialgebraic Sets II
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.1996.558038openalex-snapshot
Fast rendering of irregular grids
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/10.1137/060672261openalex-snapshot
Vertical Ray Shooting and Computing Depth Orders for Fat Objects
inferred← citeshttps://doi.org/10.1137/21m1408245openalex-snapshot
On Ray Shooting for Triangles in 3-Space and Related Problems
inferred← citeshttps://doi.org/10.1137/s0097539702419662openalex-snapshot
The Expected Number of 3D Visibility Events Is Linear
inferred← citeshttps://doi.org/10.1137/s0097539792229404openalex-snapshot
On Collision-Free Placements of Simplices and the Closest Pair of Lines in 3-Space
inferred← citeshttps://doi.org/10.1137/s0097539793244368openalex-snapshot
Ray Shooting Amidst Convex Polyhedra and Polyhedral Terrains in Three Dimensions
inferred← citeshttps://doi.org/10.1142/s0218195907002380openalex-snapshot
ON THE EXPECTED SIZE OF THE 2D VISIBILITY COMPLEX
inferred← citeshttps://doi.org/10.1142/s1793830910000899openalex-snapshot
A SUCCINCT 3D VISIBILITY SKELETON
inferred← citeshttps://doi.org/10.1145/1017460.1017461openalex-snapshot
Almost tight upper bounds for vertical decompositions in four dimensions
inferred← citeshttps://doi.org/10.1145/1064092.1064137openalex-snapshot
Vertical ray shooting for fat objects
inferred← citeshttps://doi.org/10.1145/1137856.1137872openalex-snapshot
Ray shooting and intersection searching amidst fat convex polyhedra in 3-space
inferred← citeshttps://doi.org/10.1145/1283900.1283910openalex-snapshot
Quadtree relief mapping
inferred← citeshttps://doi.org/10.1145/160985.160990openalex-snapshot
On lines missing polyhedral sets in 3-space
inferred← citeshttps://doi.org/10.1145/177424.178094openalex-snapshot
Query-sensitive ray shooting
inferred← citeshttps://doi.org/10.1145/195058.195110openalex-snapshot
Computational geometry
inferred← citeshttps://doi.org/10.1145/220279.220310openalex-snapshot
Monte Carlo approximation of form factors with error bounded a priori
inferred← citeshttps://doi.org/10.1145/288126.288170openalex-snapshot
An exact interactive time visibility ordering algorithm for polyhedral cell complexes
inferred← citeshttps://doi.org/10.1145/299917.299918openalex-snapshot
Efficient algorithms for geometric optimization
inferred← citeshttps://doi.org/10.1145/3721290openalex-snapshot
Intersection Queries for Flat Semi-Algebraic Objects in Three Dimensions and Related Problems
inferred← citeshttps://doi.org/10.1145/508357.508362openalex-snapshot
The 3D visibility complex
inferred← citeshttps://doi.org/10.1145/777792.777820openalex-snapshot
Local polyhedra and geometric graphs
inferred← citeshttps://doi.org/10.52843/cassyni.nglyd8openalex-snapshot
Recent Developments on Intersection Searching
inferred← citeshttps://doi.org/10.5555/1070432.1070502openalex-snapshot
Pianos are not flat: rigid motion planning in three dimensions
inferred← citeshttps://doi.org/10.5555/1109557.1109612openalex-snapshot
Vertical ray shooting and computing depth orders for fat objects
inferred← citeshttps://doi.org/10.5555/236226.236228openalex-snapshot
Fast rendering of irregular grids
inferred← citeshttps://doi.org/10.5555/314161.314368openalex-snapshot
Line transversals of balls and smallest enclosing cylinders in three dimensions
inferred← citeshttps://doi.org/10.70675/7e3f57f6z4175z4a22za02dzf83ca4e3ecfcopenalex-snapshot
Partition spatiale contrainte et convexe pour la simulation basée rayons
inferred← citeshttps://doi.org/10.82308/31561openalex-snapshot
On the three-dimensional visibility skeleton: implementation and analysis
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