Polygon placement under translation and rotation

Francis Avnaim; Jean-Daniel Boissonnat

RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications (1989)

  • Volume: 23, Issue: 1, page 5-28
  • ISSN: 0988-3754

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Avnaim, Francis, and Boissonnat, Jean-Daniel. "Polygon placement under translation and rotation." RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications 23.1 (1989): 5-28. <http://eudml.org/doc/92325>.

@article{Avnaim1989,
author = {Avnaim, Francis, Boissonnat, Jean-Daniel},
journal = {RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications},
keywords = {computational geometry; polygon containment problem; translation; rotation},
language = {eng},
number = {1},
pages = {5-28},
publisher = {EDP-Sciences},
title = {Polygon placement under translation and rotation},
url = {http://eudml.org/doc/92325},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Avnaim, Francis
AU - Boissonnat, Jean-Daniel
TI - Polygon placement under translation and rotation
JO - RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
PY - 1989
PB - EDP-Sciences
VL - 23
IS - 1
SP - 5
EP - 28
LA - eng
KW - computational geometry; polygon containment problem; translation; rotation
UR - http://eudml.org/doc/92325
ER -

References

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  1. 1. F. AVNAIM and J. D. BOISSONNAT, Simultaneous Containment of Several Polygons, 3rd ACM Symp. on Computational Geometry, Waterloo, June 1987. 
  2. 2. F. AVNAIM, J. D. BOISSONNAT and B. FAVERJON, A Practical Exact Motion Planning Algorithm for Polygonal Objects Amidst Polygonal Obstacles, I.E.E.E. Conf. on Robotics and Automation, Philadelphia, 1988. 
  3. 3. A. ALBANO and G. SAPUPPO, Optimal Allocation of Two-Dimensional Irregular Shapes Using Heuristic Search Methods, I.E.E.E. Trans. on Systems, Man and Cybern., Vol. SMC-10, No. 5, May 1980. 
  4. 4. B. S. BAKER, S. J. FORTUNE and S. R. MAHANEY, Inspection by Polygon Containment, 22th Allerton Annual Conf. on Communications, Control and Computing, 1984, pp. 91-100. 
  5. 5. M. BERGER, Géométrie, Formes quadratiques, coniques et quadriques, CEDIC/Fernand Nathan, Vol. 4, 1978. Zbl0423.51002
  6. 6. B. CHAZELLE, The polygon containment problem, in Advances in computer research, Vol. 1, F. P. Preparata, ed., J. A. Press, pp. 1-32. 
  7. 7. S. J. FORTUNE, Fast Algorithms for Polygon Containment, Automata, Languages and Programming, in Lecture Notes in Computer Science, 194, Springer Verlag, pp. 189-198. Zbl0571.68029MR819254
  8. 8. L. GUIBAS, L. RAMSHAW and G. STOLFI, A Kinematic Framework for Computational Geometry, Proc. I.E.E.E. Symp. on Foundations of Comput. Sci., 1983, pp. 74-123. Zbl0586.68059
  9. 9. K. KEDEM and M. SHARIR, An Efficient Motion Planning Algorithm for a Convex Polygonal Object in 2-dimensional Polygonal Space, Tech. Rept. No. 253, Comp. Sci. Dept., Courant Institute, Oct. 1986. Zbl0688.68039
  10. 10. D. LEVEN and M. SHARIR, On the Number of Critical free Contacts of a Convex Polygonal Object Moving in 2-D Polygonal Space, Discrete and Computational Geometry, Vol. 2, No. 3, 1987. Zbl0616.52009MR892172
  11. 11. T. OTTMAN, P. WIDMAYER and D. WOOD, A fast Algorithm for Boolean Mask Operations, Computer Vision, Graphics and Image Processing, Vol. 30, 1985, pp. 249-268. Zbl0622.68045
  12. 12. F. P. PREPARATA and M. I. SHAMOS, Computational Geometry: an Introduction, Springer Verlag, 1985. Zbl0759.68037MR805539
  13. 13. J. T. SCHWARTZ and M. SHARIR, On the Piano Mover's Problem I. The Case of a two Dimensional Rigid Polygonal Body Moving Amidst Polygonal Barriers, Comm. Pure Appl. Math., Vol. 36, 1983, pp. 345-398. Zbl0554.51007MR697469
  14. 14. S. SIFRONY and M. SHARIR, A New Efficient Motion Planning Algorithm for a Rod in Two-Dimensional Polygonal Space, Algorithmica, Vol. 2, 1987, pp. 367-402. Zbl0643.68049MR918360

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