Voronoi diagrams on the sphere
Computational Geometry: Theory and Applications
Stability and Finiteness Properties of Medial Axis and Skeleton
Journal of Dynamical and Control Systems
Curve-Skeleton Properties, Applications, and Algorithms
IEEE Transactions on Visualization and Computer Graphics
Medial Axis Transformation of a Planar Shape
IEEE Transactions on Pattern Analysis and Machine Intelligence
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In this paper, two-dimensional manifolds in three- dimensional Euclidian space are considered in order to single out surfaces whose skeletons fulfill the grass-fire concept. Among such surfaces we distinguish those ones that can be covered by finite number of adjacent patches. We name them multi-ribbon surfaces. We aim to calculate a multi-ribbon surface skeleton by constructing every patch Voronoi diagram in a surface parameter space and merging all Voronoi diagrams. Voronoi diagrams merging technique is proposed. The introduced approach can be applied to the problems of geographic information systems (for example, to street network modeling).