Dynamic Voronoi Diagram for Moving Disks
نویسندگان
چکیده
Voronoi diagrams are powerful for understanding spatial properties. However, few reports have been made moving generators despite their important applications. We present a topology-oriented event-increment (TOI-E) algorithm constructing diagram of circular disks in the plane over time horizon $[0, t^{\infty })$ . The proposed TOI-E computes event history entire notation="LaTeX">$O(k_F \log n + k_C n)$ with notation="LaTeX">$O(n preprocessing and k_F k_C)$ memory notation="LaTeX">$n$ disk generators, notation="LaTeX">$k_F$ edge flips, notation="LaTeX">$k_C$ collisions during horizon. Given an history, arbitrary moment notation="LaTeX">$t^{\ast}<t^{\infty }$ can be constructed notation="LaTeX">$O(k^{\ast} where notation="LaTeX">$k^{\ast}$ represents number events t^{\ast})$ An example collision avoidance problem among is given by predicting future conjunctions using algorithm. Dynamic will very useful as platform planning management traffics unmanned vehicles such cars on street, vessels surface, drones airplanes air, satellites geospace.
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ژورنال
عنوان ژورنال: IEEE Transactions on Visualization and Computer Graphics
سال: 2021
ISSN: ['1077-2626', '2160-9306', '1941-0506']
DOI: https://doi.org/10.1109/tvcg.2019.2959321