The interface between computational and combinatorial geometry
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[1] Raimund Seidel,et al. Voronoi diagrams and arrangements , 1986, Discret. Comput. Geom..
[2] Kenneth L. Clarkson,et al. New applications of random sampling in computational geometry , 1987, Discret. Comput. Geom..
[3] R. Thom. Sur L'Homologie des Varietes Algebriques Réelles , 1965 .
[4] J. Schwartz,et al. On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds , 1983 .
[5] Micha Sharir,et al. 3-Dimensional Euclidean Voronoi Diagrams of Lines with a Fixed Number of Orientations , 2003, SIAM J. Comput..
[6] M. Sharir,et al. New bounds for lower envelopes in three dimensions, with applications to visibility in terrains , 1993, SCG '93.
[7] Vladlen Koltun. Almost tight upper bounds for lower envelopes in higher dimensions , 1993, Proceedings of 1993 IEEE 34th Annual Foundations of Computer Science.
[8] Mariette Yvinec,et al. Voronoi Diagrams in Higher Dimensions under Certain Polyhedral Distance Functions , 1998, Discret. Comput. Geom..
[9] Micha Sharir,et al. Efficient algorithms for geometric optimization , 1998, CSUR.
[10] S. LaValle,et al. Motion Planning , 2008, Springer Handbook of Robotics.
[11] Kenneth L. Clarkson,et al. Applications of random sampling in computational geometry, II , 1988, SCG '88.
[12] J. T. Shwartz,et al. On the Piano Movers' Problem : III , 1983 .
[13] Micha Sharir,et al. Polyhedral Voronoi Diagrams of Polyhedra in Three Dimensions , 2002, SCG '02.
[14] Micha Sharir,et al. On the complexity of the union of fat objects in the plane , 1997, SCG '97.
[15] Richard Pollack,et al. On the Number of k-Subsets of a Set of n Points in the Plane , 1984, J. Comb. Theory, Ser. A.
[16] Micha Sharir,et al. The Union of Congruent Cubes in Three Dimensions , 2003, Discret. Comput. Geom..
[17] Saugata Basu. The Combinatorial and Topological Complexity of a Single Cell , 2003, Discret. Comput. Geom..
[18] David Haussler,et al. ɛ-nets and simplex range queries , 1987, Discret. Comput. Geom..
[19] B. Faverjon,et al. Probabilistic Roadmaps for Path Planning in High-Dimensional Con(cid:12)guration Spaces , 1996 .
[20] J. Milnor. On the Betti numbers of real varieties , 1964 .
[21] Micha Sharir,et al. The upper envelope of voronoi surfaces and its applications , 1993, Discret. Comput. Geom..
[22] Timothy M. Chan. On Levels in Arrangements of Curves , 2003, Discret. Comput. Geom..
[23] Micha Sharir,et al. On the union of Jordan regions and collision-free translational motion amidst polygonal obstacles , 1986, Discret. Comput. Geom..
[24] J. Pach. Towards a Theory of Geometric Graphs , 2004 .
[25] Noga Alon,et al. The number of small semispaces of a finite set of points in the plane , 1986, J. Comb. Theory, Ser. A.
[26] Franz Aurenhammer,et al. Voronoi Diagrams , 2000, Handbook of Computational Geometry.
[27] R. Seidel. Backwards Analysis of Randomized Geometric Algorithms , 1993 .
[28] Marco Pellegrini. Ray Shooting and Lines in Space , 2004, Handbook of Discrete and Computational Geometry, 2nd Ed..
[29] Gert Vegter,et al. In handbook of discrete and computational geometry , 1997 .
[30] Bernard Chazelle,et al. A deterministic view of random sampling and its use in geometry , 1990, Comb..
[31] Micha Sharir,et al. Three dimensional euclidean Voronoi diagrams of lines with a fixed number of orientations , 2002, SCG '02.
[32] Micha Sharir,et al. Sharp upper and lower bounds on the length of general Davenport-Schinzel sequences , 2015, J. Comb. Theory, Ser. A.
[33] Rephael Wenger,et al. Helly-Type Theorems and Geometric Transversals , 2004, Handbook of Discrete and Computational Geometry, 2nd Ed..
[34] Micha Sharir,et al. Nonlinearity of davenport—Schinzel sequences and of generalized path compression schemes , 1986, FOCS.
[35] Leonidas J. Guibas,et al. A Singly Exponential Stratification Scheme for Real Semi-Algebraic Varieties and its Applications , 1991, Theor. Comput. Sci..
[36] Richard Cole,et al. On k-Hulls and Related Problems , 1987, SIAM J. Comput..
[37] Mark de Berg,et al. Computational geometry: algorithms and applications , 1997 .
[38] Micha Sharir,et al. Davenport-Schinzel sequences and their geometric applications , 1995, Handbook of Computational Geometry.
[39] Micha Sharir,et al. Almost tight upper bounds for the single cell and zone problems in three dimensions , 1994, SCG '94.
[40] Micha Sharir,et al. Fat Triangles Determine Linearly Many Holes , 1994, SIAM J. Comput..
[41] Géza Tóth,et al. Point Sets with Many k-Sets , 2000, SCG '00.
[42] Tamal K. Dey,et al. Improved Bounds for Planar k -Sets and Related Problems , 1998, Discret. Comput. Geom..
[43] Micha Sharir,et al. Arrangements of surfaces in higher dimensions , 1999 .
[44] Herbert Edelsbrunner,et al. Algorithms in Combinatorial Geometry , 1987, EATCS Monographs in Theoretical Computer Science.
[45] János Pach,et al. Combinatorial Geometry , 2012 .
[46] Jirí Matousek. Derandomization in Computational Geometry , 2000, Handbook of Computational Geometry.
[47] Michael Ian Shamos,et al. Computational geometry: an introduction , 1985 .
[48] Jirí Matousek,et al. Efficient partition trees , 1991, SCG '91.
[49] Micha Sharir. Almost tight upper bounds for lower envelopes in higher dimensions , 1994, Discret. Comput. Geom..
[50] Jiri Matousek,et al. Lectures on discrete geometry , 2002, Graduate texts in mathematics.
[51] Jirí Matousek,et al. Constructing levels in arrangements and higher order Voronoi diagrams , 1994, SCG '94.
[52] Franco P. Preparata,et al. Computational Geometry , 1985, Texts and Monographs in Computer Science.
[53] Endre Szemerédi,et al. Extremal problems in discrete geometry , 1983, Comb..
[54] P. Erdös,et al. Dissection Graphs of Planar Point Sets , 1973 .