Research on dynamic algorithms for geometric problems has received increasing attention in the last years and is motivated by many important applications in circuit layout, computer graphics, and computer-aided design. In this paper we survey dynamic algorithms and data structures in the area of computational geometry. Our work has a twofold purpose: it introduces the area to the nonspecialist and overviews the state-of-the-art for the specialist.
Cited By
- Katz M, Lev-Tov N and Morgenstern G (2012). Conflict-Free Coloring of points on a line with respect to a set of intervals, Computational Geometry: Theory and Applications, 45:9, (508-514), Online publication date: 1-Nov-2012.
- Nekrich Y A data structure for multi-dimensional range reporting Proceedings of the twenty-third annual symposium on Computational geometry, (344-353)
- Kohli P and Torr P Measuring uncertainty in graph cut solutions – efficiently computing min-marginal energies using dynamic graph cuts Proceedings of the 9th European conference on Computer Vision - Volume Part II, (30-43)
- Nekrich Y Space efficient dynamic orthogonal range reporting Proceedings of the twenty-first annual symposium on Computational geometry, (306-313)
- Mortensen C Fully-dynamic two dimensional orthogonal range and line segment intersection reporting in logarithmic time Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms, (618-627)
- Wang B, Zhang W and Kitsuregawa M Design of B+tree-based predicate index for efficient event matching Proceedings of the 5th Asia-Pacific web conference on Web technologies and applications, (548-559)
- Reif J and Tate S Dynamic algebraic algorithms Proceedings of the fifth annual ACM-SIAM symposium on Discrete algorithms, (290-301)
- Chiang Y and Tamassia R Dynamization of the trapezoid method for planar point location (extended abstract) Proceedings of the seventh annual symposium on Computational geometry, (61-70)
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