Computing the connected components of simple rectilinear geometrical objects in d-space
RAIRO. Informatique théorique, Volume 18 (1984) no. 2, pp. 171-183.
@article{ITA_1984__18_2_171_0,
     author = {Edelsbrunner, Herbert and Van Leeuwen, Jan and Ottmann, Thomas and Wood, Derick},
     title = {Computing the connected components of simple rectilinear geometrical objects in $d$-space},
     journal = {RAIRO. Informatique th\'eorique},
     pages = {171--183},
     publisher = {EDP-Sciences},
     volume = {18},
     number = {2},
     year = {1984},
     mrnumber = {761516},
     language = {en},
     url = {http://www.numdam.org/item/ITA_1984__18_2_171_0/}
}
TY  - JOUR
AU  - Edelsbrunner, Herbert
AU  - Van Leeuwen, Jan
AU  - Ottmann, Thomas
AU  - Wood, Derick
TI  - Computing the connected components of simple rectilinear geometrical objects in $d$-space
JO  - RAIRO. Informatique théorique
PY  - 1984
DA  - 1984///
SP  - 171
EP  - 183
VL  - 18
IS  - 2
PB  - EDP-Sciences
UR  - http://www.numdam.org/item/ITA_1984__18_2_171_0/
UR  - https://www.ams.org/mathscinet-getitem?mr=761516
LA  - en
ID  - ITA_1984__18_2_171_0
ER  - 
%0 Journal Article
%A Edelsbrunner, Herbert
%A Van Leeuwen, Jan
%A Ottmann, Thomas
%A Wood, Derick
%T Computing the connected components of simple rectilinear geometrical objects in $d$-space
%J RAIRO. Informatique théorique
%D 1984
%P 171-183
%V 18
%N 2
%I EDP-Sciences
%G en
%F ITA_1984__18_2_171_0
Edelsbrunner, Herbert; Van Leeuwen, Jan; Ottmann, Thomas; Wood, Derick. Computing the connected components of simple rectilinear geometrical objects in $d$-space. RAIRO. Informatique théorique, Volume 18 (1984) no. 2, pp. 171-183. http://www.numdam.org/item/ITA_1984__18_2_171_0/

1. A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley Publishing Co., Inc., Reading, Mass., 1974. | MR | Zbl

2. D. Dobkin, and R. Lipton, On the Complexity of Computations under Varying Sets of Primitives, Journal of Computer and System Sciences 18, 1979, pp. 86-91. | MR | Zbl

3. H. Edelsbrunner, Dynamic Data Structures for Orthogonal Intersection Queries, Technical University Graz, Institut für Informationsverarbeitung Report 59, 1980.

4. H. Edelsbrunner, Reporting Intersections of Geometric Objects by Means of Covering Rectangles, Bulletin of the E.A.T.C.S., 1980.

5. H. Edelsbrunner, and H. A. Maurer, On the Intersection of Orthogonal Objects, Information Processing Letters 13, 1981, pp. 177-181. | MR

6. G. H. Gonnet, J. I. Munro, and D. Wood, Direct Dynamic Data Structures for Some Line Segment Problems, Computer Graphics and Image Processing, 1983, pp. | Zbl

7. R. H. Güting, and D. Wood, The Parenthesis Tree, Information Sciences 27, 1982, pp. 151-162. | MR | Zbl

8. H. Imai, and T. Asano, Finding the Connected Components and a Maximum Clique of an Intersection Graph of Rectangles in the Plane, Technical Report, University of Tokyo, 1981.

9. E. M. Mccreight, Priority Search Trees, Xerox Palo Alto Research Centers Report CSL-81-5, 1982.

10. J. Nievergelt, and F. P. Preparata, Plane-Sweep Algorithms for Intersecting Geometric Figures, Communications of the A.C.M. 25, 1982, pp. 739-747. | Zbl

11. M. H. Overmars, and J. Van Leeuwen, Worst Case Optimal Insertion and Deletion Methods for Decomposable Searching Problems, Information Processing Letters 12, 1981, pp. 168-173. | MR | Zbl

12. M. I. Shamos, and D. Hoey, Geometric Intersection Problems, Proceedings of the 17th Annual I.E.E.E. F.O.C.S. Symposium, 1976, pp. 208-215. | MR

13. H.-W. Six, and D. Wood, Counting and Reporting Intersections of d-Ranges, I.E.E.E. Transactions on Computers C-31, 1982, pp. 181-18. | MR | Zbl