Voronoi diagram of a circle set from Voronoi diagram of a point set: II. Geometry
From MaRDI portal
Publication:5941488
DOI10.1016/S0167-8396(01)00051-6zbMath0969.68162MaRDI QIDQ5941488
Donguk Kim, Deok-Soo Kim, Kōkichi Sugihara
Publication date: 20 August 2001
Published in: Computer Aided Geometric Design (Search for Journal in Brave)
circle set Voronoi diagramApollonius' 10th problemlinear fractional transformationpoint location problemrational quadratic Bézier curveVoronoi edgeVoronoi vertex
Related Items (19)
A parallel algorithm for computing Voronoi diagram of a set of circles using touching disc and topology matching ⋮ Euclidean Voronoi diagrams of 3D spheres and applications to protein structure analysis ⋮ Updating the topology of the dynamic Voronoi diagram for spheres in Euclidean \(d\)-dimensional space ⋮ Voronoi Diagram and Delaunay Triangulation with Independent and Dependent Geometric Uncertainties ⋮ Computing the Voronoi cells of planes, spheres and cylinders in \(\mathbb{R}^3\) ⋮ THE HEAVY LUGGAGE METRIC ⋮ Exact Voronoi diagram of smooth convex pseudo-circles: general predicates, and implementation for ellipses ⋮ A dynamic sampling approach towards computing Voronoi diagram of a set of circles ⋮ Disk packing for the estimation of the size of a wire bundle ⋮ Voronoi diagram of a circle set from Voronoi diagram of a point set: I. Topology ⋮ A sweep-line algorithm for the inclusion hierarchy among circles ⋮ Uncertain Voronoi diagram ⋮ An exact algorithm for a class of geometric set-cover problems ⋮ QuickhullDisk: a faster convex hull algorithm for disks ⋮ Near optimal minimal convex hulls of disks ⋮ Fuzzy Voronoi Diagram ⋮ Robust Construction of the Additively-Weighted Voronoi Diagram via Topology-Oriented Incremental Algorithm ⋮ The predicates of the Apollonius diagram: algorithmic analysis and implementation ⋮ Topology-Oriented Incremental Algorithm for the Robust Construction of the Voronoi Diagrams of Disks
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A sweepline algorithm for Voronoi diagrams
- On the computational geometry of pocket machining
- Pocket machining based on contour-parallel tool paths generated by means of proximity maps
- A cocktail algorithm for planar Bézier curve intersections.
- Polygon offsetting using a Voronoi diagram and two stacks.
- Representing the Voronoï diagram of a simple polygon using rational quadratic Bézier curves
- Intersection and Closest-Pair Problems for a Set of Planar Discs
- Generalization of Voronoi Diagrams in the Plane
- Voronoi diagram of a circle set from Voronoi diagram of a point set: I. Topology
This page was built for publication: Voronoi diagram of a circle set from Voronoi diagram of a point set: II. Geometry