We present a scheme to dynamically maintain a tooted shortest path tree in a simple polygon. Both insertion and deletion of vertices of the simple polygon are supported. Both operations require O(k log(n/k)) time where k is the number of changes in the shortest path tree. Only simple balanced binary trees are used in the data structure. O(n) space is required.
CITATION STYLE
Kapoor, S., & Singh, T. (1996). Dynamic maintenance of shortest path trees in simple polygons. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1180, pp. 123–134). Springer Verlag. https://doi.org/10.1007/3-540-62034-6_43
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