Computing the connected components of simple rectilinear geometrical objects in d -space

Herbert Edelsbrunner; Jan Van Leeuwen; Thomas Ottmann; Derick Wood

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1984)

  • Volume: 18, Issue: 2, page 171-183
  • ISSN: 0988-3754

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Edelsbrunner, Herbert, et al. "Computing the connected components of simple rectilinear geometrical objects in $d$-space." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 18.2 (1984): 171-183. <http://eudml.org/doc/92205>.

@article{Edelsbrunner1984,
author = {Edelsbrunner, Herbert, Van Leeuwen, Jan, Ottmann, Thomas, Wood, Derick},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
language = {eng},
number = {2},
pages = {171-183},
publisher = {EDP-Sciences},
title = {Computing the connected components of simple rectilinear geometrical objects in $d$-space},
url = {http://eudml.org/doc/92205},
volume = {18},
year = {1984},
}

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 - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1984
PB - EDP-Sciences
VL - 18
IS - 2
SP - 171
EP - 183
LA - eng
UR - http://eudml.org/doc/92205
ER -

References

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  2. 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. Zbl0409.68023MR525832
  3. 3. H. EDELSBRUNNER, Dynamic Data Structures for Orthogonal Intersection Queries, Technical University Graz, Institut für Informationsverarbeitung Report 59, 1980. 
  4. 4. H. EDELSBRUNNER, Reporting Intersections of Geometric Objects by Means of Covering Rectangles, Bulletin of the E.A.T.C.S., 1980. 
  5. 5. H. EDELSBRUNNER, and H. A. MAURER, On the Intersection of Orthogonal Objects, Information Processing Letters 13, 1981, pp. 177-181. MR651468
  6. 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. Zbl0585.68065
  7. 7. R. H. GÜTING, and D. WOOD, The Parenthesis Tree, Information Sciences 27, 1982, pp. 151-162. Zbl0498.68039MR678038
  8. 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. Zbl0548.68067
  9. 9. E. M. MCCREIGHT, Priority Search Trees, Xerox Palo Alto Research Centers Report CSL-81-5, 1982. 
  10. 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. Zbl0491.68075
  11. 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. Zbl0459.68026MR606295
  12. 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. MR455532
  13. 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. Zbl0477.68072MR648370

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