Computational Geometry: Theory, Algorithms and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "B: Geometry and Topology".
Deadline for manuscript submissions: 31 March 2026 | Viewed by 11
Special Issue Editor
Interests: graph theory; combinatorial optimization; computational geometry; database systems; fuzzy modeling
Special Issue Information
Dear Colleagues,
Computational geometry has a history of more than 40 years and its applications span a wide range of disciplines, such as robotics (navigation), graph theory (minimum tree problems), operations research (location and search problems, closest pair, and all k nearest neighbours), economy (toxic waste dump problem), computational biology, geographic information systems, crystallography and spatial processes, chemistry, etc. For example, generalized Voronoi diagrams and rapidly exploring random trees may be used in robot motion planning in scenes with obstacles, including the area of unmanned maritime vehicles and agricultural machines. Delaunay triangulation may be applied in the solution of the minimum Euclidean spanning tree problem and Steiner minimum tree problem in the Euclidean plane, which can be combined with convex hulls. Delaunay meshes are used for finite element methods.
This Special Issue aims to present algorithms for efficient construction of geometric data structures in application tasks, theoretically describe their time complexity and limitations, and present possible connections with stochastic heuristic methods and artificial intelligence methods.
We look forward to your contributions.
Prof. Dr. Miloš Šeda
Guest Editor
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Keywords
- Voronoi diagrams
- Delaunay triangulation
- rapidly exploring random trees
- visibility graphs
- convex hulls
- binary space partitions
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