Volume Queries in Polyhedra
نویسندگان
چکیده
We present a simple and practical data structure for storing a (not necessarily convex) polyhedron P which can, given a query surface S cutting the polyhedron, determine the volume and the area of the portion of the polyhedron above S. The queries are answered in a time linear in the size (complexity) of S. The space and preprocessing time for this data structure are linear in the size of P . We also present an intermediary data structure for planar graphs which is of independent interest.
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