We present data structures that can answer window queries for a sequence of geometric objects, such as points, line segments, triangles and convex c-gons. We first present data structures to solve windowed intersection decision problems using line segments, triangles and convex c-gons. We also present data structures to count points on maximal layer, to decide whether a given point belongs to a maximal layer, and to count k-dominant points for a fixed integer k for a sequence of points in Rd, d≥2. All data structures presented in this paper answer queries in polylogarithmic time and use subquadratic space.
CITATION STYLE
Chanchary, F., Maheshwari, A., & Smid, M. (2018). Window queries for problems on intersecting objects and maximal points. In Communications in Computer and Information Science (Vol. 10743 LNCS, pp. 199–213). Springer Verlag. https://doi.org/10.1007/978-3-319-74180-2_17
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