Thông tin tài liệu
Nhan đề : | Separating bichromatic point sets in the plane by restricted orientation convex hulls |
Tác giả : | Carlos, Alegría David, Orden Carlos, Seara |
Năm xuất bản : | 2022 |
Nhà xuất bản : | Springer |
Tóm tắt : | We explore the separability of point sets in the plane by a restricted-orientation convex hull, which is an orientation-dependent, possibly disconnected, and non-convex enclosing shape that generalizes the convex hull. Let R and B be two disjoint sets of red and blue points in the plane, and O be a set of k≥2 lines passing through the origin. We study the problem of computing the set of orientations of the lines of O for which the O-convex hull of R contains no points of B. For k=2 orthogonal lines we have the rectilinear convex hull. In optimal O(nlogn) time and O(n) space, n=|R|+|B|, we compute the set of rotation angles such that, after simultaneously rotating the lines of O around the origin in the same direction, the rectilinear convex hull of R contains no points of B. |
Mô tả: | CC By |
URI: | https://dlib.phenikaa-uni.edu.vn/handle/PNK/7427 |
Bộ sưu tập | OER - Khoa học Tự nhiên |
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