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AVNAIM F., BOISSONNAT J.D., Simultaneous containment of several polygons, 3rd ACM Symp. on Computational Geometry, Waterloo (June 1987).
AVNAIM F., BOISSONNAT J.D., B. FAVERJON, A practical exact motion planning algorithm for polygonal objects amidst polygonal obstacles, IEEE Conf. on Robotics and Automation, Philadelphia (1988).
BERGER M., Géométrie Volume 4: Formes quadratiques, coniques et quadriques, CEDIC/Fernand Nathan (1978).
CHAZELLE B., The polygon containment problem, in Advances in computer research, Vol. 1 (F.P. Preparata, ed.), JA Press, pp. 1–32.
FORTUNE S.J., Fast algorithms for polygon containment, Automata, Languages and Programming, in Lecture Notes in Computer Science 194,Springer Verlag, pp. 189–198
GUIBAS L., RAMSHAW L., STOLFI G., A kinematic framework for computational geometry, Proc. IEEE Symp. on Foudations of Comput. Sci. (1983), pp. 74–123.
KEDEM K., SHARIR M., 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).
LEVEN D., SHARIR M., 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.
OTTMAN T., WIDMAYER P., WOOD D., A fast algorithm for Boolean mask operations, Computer Vision, Graphics and Image Processing, Vol. 30, 1985, pp. 249–268.
PREPARATA F.P., SHAMOS M.I., Computational geometry: an introduction, Springer Verlag, 1985.
SCHWARTZ J.T., SHARIR M., On the piano mover's problem I. The case of a two dimensional rigid polygonal body moving amidst polygonal barriers, Comm. Pure Appl. Math., 36 (1983), pp. 345–398.
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© 1988 Springer-Verlag Berlin Heidelberg
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Avnaim, F., Boissonnat, J.D. (1988). Polygon placement under translation and rotation. In: Cori, R., Wirsing, M. (eds) STACS 88. STACS 1988. Lecture Notes in Computer Science, vol 294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035856
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DOI: https://doi.org/10.1007/BFb0035856
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