A sweepline algorithm for Voronoi diagrams
SCG '86 Proceedings of the second annual symposium on Computational geometry
Voronoi diagram for multiply-connected polygonal domains 1: algorithm
IBM Journal of Research and Development
Applications of spatial data structures: Computer graphics, image processing, and GIS
Applications of spatial data structures: Computer graphics, image processing, and GIS
The design and analysis of spatial data structures
The design and analysis of spatial data structures
Continuous Skeletons from Digitized Images
Journal of the ACM (JACM)
Solving polynomial systems for curve, surface and solid modeling
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Computation of the Medial Axis Transform of 3-D polyhedra
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Computing the medial surface of a solid from a domain Delaunay triangulation
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Proceedings of the fifth ACM symposium on Solid modeling and applications
Fast computation of generalized Voronoi diagrams using graphics hardware
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Skeletonization of Three-Dimensional Object Using Generalized Potential Field
IEEE Transactions on Pattern Analysis and Machine Intelligence
An Algorithm for the Medial Axis Transform of 3D Polyhedral Solids
IEEE Transactions on Visualization and Computer Graphics
Shape Description By Medial Surface Construction
IEEE Transactions on Visualization and Computer Graphics
Solving Systems of Polynomial Equations
IEEE Computer Graphics and Applications
Voronoi Diagrams for Planar Shapes
IEEE Computer Graphics and Applications
Towards efficient motion planning for manipulators with complex geometry
ISATP '95 Proceedings of the 1995 IEEE International Symposium on Assembly and Task Planning
Precise Voronoi cell extraction of free-form rational planar closed curves
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Voronoi diagram computations for planar NURBS curves
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Approximations of 2D and 3D generalized Voronoi diagrams
International Journal of Computer Mathematics
Dynamically maintaining a hierarchical planar Voronoi diagram approximation
ICCSA'03 Proceedings of the 2003 international conference on Computational science and its applications: PartIII
Interior Medial Axis Transform computation of 3D objects bound by free-form surfaces
Computer-Aided Design
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The definition of a Voronoi diagram is extended to arbitrary set-theoretic solid models. A method for approximating such diagrams using recursive subdivision is described. The method relies on octrees, which have been used for computing the distances between whole solid models. Two- and three-dimensional images generated using the algorithm are presented.