Fully Dynamic Point Location in a Monotone Subdivision

In this paper a dynamic technique for locating a point in a monotone planar subdivision, whose current number of vertices is n, is presented. The (complete set of) update operations are insertion o...

[1]  Franco P. Preparata,et al.  A New Approach to Planar Point Location , 1981, SIAM J. Comput..

[2]  F. Frances Yao,et al.  Computational Geometry , 1991, Handbook of Theoretical Computer Science, Volume A: Algorithms and Complexity.

[3]  Kurt Mehlhorn,et al.  Data Structures and Algorithms 3: Multi-dimensional Searching and Computational Geometry , 2012, EATCS Monographs on Theoretical Computer Science.

[4]  Kurt Mehlhorn,et al.  Dynamization of geometric data structures , 1985, SCG '85.

[5]  Tiko Kameda,et al.  On the Vector Representation of the Reachability in Planar Directed Graphs , 1975, Inf. Process. Lett..

[6]  Leonidas J. Guibas,et al.  A dichromatic framework for balanced trees , 1978, 19th Annual Symposium on Foundations of Computer Science (sfcs 1978).

[7]  Franco P. Preparata,et al.  Planar Point Location Revisited (A Guided Tour of a Decade of Research) , 1988, FSTTCS.

[8]  Kurt Mehlhorn,et al.  Multi-dimensional searching and computational geometry , 1984 .

[9]  Mark H. Overmars,et al.  Range searching in a set of line segments , 1985, SCG '85.

[10]  Leonidas J. Guibas,et al.  Optimal Point Location in a Monotone Subdivision , 1986, SIAM J. Comput..

[11]  Richard J. Lipton,et al.  Multidimensional Searching Problems , 1976, SIAM J. Comput..

[12]  Robert E. Tarjan,et al.  Planar point location using persistent search trees , 1986, CACM.

[13]  D. T. Lee,et al.  Location of a point in a planar subdivision and its applications , 1976, STOC '76.

[14]  David G. Kirkpatrick,et al.  Optimal Search in Planar Subdivisions , 1983, SIAM J. Comput..

[15]  Takao Asano,et al.  A new point-location algorithm and its practical efficiency: comparison with existing algorithms , 1984, TOGS.

[16]  Robert E. Tarjan,et al.  Data structures and network algorithms , 1983, CBMS-NSF regional conference series in applied mathematics.

[17]  Robert E. Tarjan,et al.  Applications of a planar separator theorem , 1977, 18th Annual Symposium on Foundations of Computer Science (sfcs 1977).