Abstract
The problem of finding the shortest watchman route in a simple polygon P through a point s on its boundary is considered. A route is a watchman route if every point inside P can be seen from at least one point along the route. We present an incremental algorithm that constructs the shortest watchman route in O(n 3) time for a simple polygon with n edges. This improves the previous O(n 4) bound.
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© 1991 Springer-Verlag Berlin Heidelberg
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Tan, XH., Hirata, T., Inagaki, Y. (1991). An incremental algorithm for constructing shortest watchman routes. In: Hsu, WL., Lee, R.C.T. (eds) ISA'91 Algorithms. ISA 1991. Lecture Notes in Computer Science, vol 557. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-54945-5_60
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DOI: https://doi.org/10.1007/3-540-54945-5_60
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