Thông tin tài liệu
Nhan đề : | Deletion in Abstract Voronoi Diagrams in Expected Linear Time and Related Problems |
Tác giả : | Kolja, Junginger Evanthia, Papadopoulou |
Năm xuất bản : | 2023 |
Nhà xuất bản : | Springer |
Tóm tắt : | Updating an abstract Voronoi diagram in linear time, after deletion of one site, has been an open problem in a long time; similarly, for any concrete Voronoi diagram of generalized (non-point) sites. In this paper we present a simple, expected linear-time algorithm to update an abstract Voronoi diagram after deletion of one site. To achieve this result, we use the concept of a Voronoi-like diagram, a relaxed Voronoi structure of independent interest. Voronoi-like diagrams serve as intermediate structures, which are considerably simpler to compute, thus, making an expected linear-time construction possible. |
Mô tả: | CC BY |
URI: | https://link.springer.com/article/10.1007/s00454-022-00463-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7523 |
Bộ sưu tập | OER - Khoa học Tự nhiên |
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