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A projectively invariant intersection test for polyhedra

https://doi.org/10.1007/s003710100158
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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/bf01887590openalex-snapshot
Applications of the 4×4 determinant method and the POLYGON ENGINE
inferredcites →https://doi.org/10.1007/bf01900696openalex-snapshot
Homogeneous coordinates
inferredcites →https://doi.org/10.1007/pl00009330openalex-snapshot
The Nature and Meaning of Perturbations in Geometric Computing
inferredcites →https://doi.org/10.1007/s003710050087openalex-snapshot
Some basic geometric test conditions in terms of Plücker coordinates and Plücker coefficients
inferredcites →https://doi.org/10.1007/s003710050143openalex-snapshot
A shift of playground for geometric processing from euclidean to homogeneous
inferredcites →https://doi.org/10.1007/s004530010003openalex-snapshot
Efficient Exact Evaluation of Signs of Determinants
inferredcites →https://doi.org/10.1016/0146-664x(82)90019-3openalex-snapshot
Determining the spatial containment of a point in general polyhedra
inferredcites →https://doi.org/10.1016/0146-664x(82)90135-6openalex-snapshot
Determining the spatial containment of a point in general polyhedra
inferredcites →https://doi.org/10.1016/0734-189x(84)90133-6openalex-snapshot
An efficient point in polyhedron algorithm
inferredcites →https://doi.org/10.1016/b978-0-08-050753-8.50022-xopenalex-snapshot
A FAST 2D POINT-ON-LINE TEST
inferredcites →https://doi.org/10.1016/b978-0-08-050754-5.50012-8openalex-snapshot
INTERSECTION OF LINE SEGMENTS
inferredcites →https://doi.org/10.1016/b978-0-08-050754-5.50069-4openalex-snapshot
DECOMPOSING A MATRIX INTO SIMPLE TRANSFORMATIONS
inferredcites →https://doi.org/10.1016/b978-0-08-050754-5.50101-8openalex-snapshot
INTERSECTION OF LINE SEGMENTS
inferredcites →https://doi.org/10.1016/b978-0-08-050754-5.50121-3openalex-snapshot
DECOMPOSING A MATRIX INTO SIMPLE TRANSFORMATIONS
inferredcites →https://doi.org/10.1016/b978-0-08-050755-2.50045-2openalex-snapshot
FASTER LINE SEGMENT INTERSECTION
inferredcites →https://doi.org/10.1016/b978-0-12-336156-1.50013-6openalex-snapshot
Point in Polygon Strategies
inferredcites →https://doi.org/10.1016/b978-0-12-543457-7.50015-2openalex-snapshot
Point in Polyhedron Testing Using Spherical Polygons
inferredcites →https://doi.org/10.1016/s0010-4485(96)00041-3openalex-snapshot
Polyhedral modelling with multiprecision integer arithmetic
inferredcites →https://doi.org/10.1016/s0097-8493(00)00130-8openalex-snapshot
3D collision detection: a survey
inferredcites →https://doi.org/10.1080/10867651.1997.10487472openalex-snapshot
A Fast Triangle-Triangle Intersection Test
inferredcites →https://doi.org/10.1080/10867651.1997.10487482openalex-snapshot
ERIT—A Collection of Efficient and Reliable Intersection Tests
inferredcites →https://doi.org/10.1109/38.41469openalex-snapshot
Robust set operations on polyhedral solids
inferredcites →https://doi.org/10.1109/icsmc.2007.4414258openalex-snapshot
Collision detection: A survey
inferredcites →https://doi.org/10.1109/mcg.1982.1674149openalex-snapshot
Solid Modeling: A Historical Summary and Contemporary Assessment
inferredcites →https://doi.org/10.1109/robot.1994.351236openalex-snapshot
Interference detection between non-convex polyhedra revisited with a practical aim
inferredcites →https://doi.org/10.1142/s0218195996000137openalex-snapshot
ROBUST SET OPERATIONS ON POLYHEDRAL SOLIDS: A FIXED PRECISION APPROACH
inferredcites →https://doi.org/10.1145/142675.142694openalex-snapshot
An efficient approach to removing geometric degeneracies
inferredcites →https://doi.org/10.1145/359046.359048openalex-snapshot
Interference detection among solids and surfaces
inferredcites →https://doi.org/10.1145/77635.77639openalex-snapshot
Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms
inferredcites →https://doi.org/10.1201/9781420035315-38openalex-snapshot
Geometric Intersection
inferredcites →https://doi.org/10.1201/9781420035315.ch38openalex-snapshot
Geometric Intersection

What points at this work

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

inferred← citeshttps://doi.org/10.1002/rob.20148openalex-snapshot
Distance bound for nonconvex polyhedral models in close proximity
inferred← citeshttps://doi.org/10.1007/978-94-007-4620-6_20openalex-snapshot
Simplified Voronoi Diagrams for Motion Planning of Quadratically-Solvable Gough–Stewart Platforms
inferred← citeshttps://doi.org/10.1007/s00138-025-01743-3openalex-snapshot
An Efficient point-in-convex 3D polyhedron test using a projective algorithm with sub-linear expected complexity
inferred← citeshttps://doi.org/10.1007/s10711-008-9341-2openalex-snapshot
Stratifications of the Euclidean motion group with applications to robotics
inferred← citeshttps://doi.org/10.1007/s11806-011-0453-8openalex-snapshot
Point-in-polyhedra test with direct handling of degeneracies
inferred← citeshttps://doi.org/10.1016/j.cag.2007.09.007openalex-snapshot
Barycentric coordinates computation in homogeneous coordinates
inferred← citeshttps://doi.org/10.1016/s0010-4485(02)00099-4openalex-snapshot
Reducing feasible contacts between polyhedral models to red–blue intersections on the sphere
inferred← citeshttps://doi.org/10.1109/csit.2013.6588790openalex-snapshot
Projective rational arithmetic with floating point
inferred← citeshttps://doi.org/10.1109/tro.2005.858861openalex-snapshot
Stratifying the singularity loci of a class of parallel manipulators
inferred← citeshttps://doi.org/10.14288/1.0051703openalex-snapshot
CInDeR : collision and interference detection in real time using graphics hardware
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