Counting and representing intersections among triangles in three dimensions
From MaRDI portal
Publication:2571213
DOI10.1016/j.comgeo.2005.02.003zbMath1086.65506OpenAlexW2203294237MaRDI QIDQ2571213
Publication date: 1 November 2005
Published in: Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.comgeo.2005.02.003
arrangementsalgorithm3SUM-hard problemscounting intersectionscurve-sensitive cuttingstriangles in three dimensions
Related Items (5)
Cuttings for disks and axis-aligned rectangles in three-space ⋮ On the union of cylinders in three dimensions ⋮ Lines avoiding balls in three dimensions revisited ⋮ Constructive Polynomial Partitioning for Algebraic Curves in $\mathbb{R}^3$ with Applications ⋮ On regular vertices of the union of planar convex objects
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On counting pairs of intersecting segments and off-line triangle range searching
- Optimal slope selection via expanders
- A deterministic view of random sampling and its use in geometry
- Fast detection of polyhedral intersection
- Partitioning arrangements of lines. II: Applications
- \(\epsilon\)-nets and simplex range queries
- Cutting hyperplane arrangements
- Randomized optimal algorithm for slope selection
- On range searching with semialgebraic sets
- Optimal slope selection via cuttings
- New applications of random sampling in computational geometry
- Reporting and counting segment intersections
- Applications of random sampling in computational geometry. II
- Reporting intersecting pairs of convex polytopes in two and three dimensions
- On a class of \(O(n^ 2)\) problems in computational geometry
- Vertical decompositions for triangles in 3-space
- Efficient algorithms for approximating polygonal chains
- Algorithms for Reporting and Counting Geometric Intersections
- Counting Circular Arc Intersections
- Red-Blue Intersection Detection Algorithms, with Applications to Motion Planning and Collision Detection
- An Optimal-Time Algorithm for Slope Selection
- New Lower Bounds for Convex Hull Problems in Odd Dimensions
- An optimal algorithm for intersecting line segments in the plane
- Curve-Sensitive Cuttings
- A RANDOMIZED ALGORITHM FOR SLOPE SELECTION
This page was built for publication: Counting and representing intersections among triangles in three dimensions