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Bibliography

[AT] S. G. Akl and G. T. Toussaint. A fast convex hull algorithm. Inform. Process. Lett., 7(5):219-222, 1978.

[As] K. R. Anderson. A reevaluation of an efficient algorithm for determining the convex hull of a finite planar set. Inform. Process. Lett., 7(1):53-55, 1978.

[Aw] A. M. Andrew. Another efficient algorithm for convex hulls in two dimensions. Inform. Process. Lett., 9(5):216-219, 1979.

[doubledouble] Keith Briggs. The doubledouble home page. http://epidem13.plantsci.cam.ac.uk/~kbriggs/doubledouble.html.

[BMFS] C. Burnikel, R. Fleischer, K. Mehlhorn, and S. Schirra. A strong and easily computable separation bound for arithmetic expressions involving square roots. In Proc. of the 8th ACM-SIAM Symp. on Discrete Algorithms, pages 702-709, 1997.

[BKMNSU] C. Burnikel, J. Könemann, K. Mehlhorn, S. Näher, S. Schirra, and C. Uhrig. Exact geometric computation in LEDA. In Proceedings of the 11th ACM Symposium on Computational Geometry, pages C18-C19, 1995.

[BMS] C. Burnikel, K. Mehlhorn, and S. Schirra. The LEDA class real number. Technical Report MPI-I-96-1-001, Max-Planck-Institut für Informatik, 1996.

[By] A. Bykat. Convex hull of a finite set of points in two dimensions. Inform. Process. Lett., 7:296-298, 1978.

[D] T. J. Dekker. A floating-point technique for extending the available precision. Numerische Mathematik, 18:224 - 242, 1971.

[Ey] W. F. Eddy. A new convex hull algorithm for planar sets. ACM Trans. Math. Softw., 3:398-403 and 411-412, 1977.

[FvW] S. Fortune and C. Van Wyk. Static analysis yields efficient exact integer arithmetic for computational geometry. ACM Transactions on Graphics, 15(3):223-248, 1996.

[G] R. L. Graham. An efficient algorithm for determining the convex hull of a finite planar set. Inform. Process. Lett., 1:132-133, 1972.

[gmp] T. Granlund. GNU MP, The GNU Multiple Precision Arithmetic Library, 2.0.2 edition, June 1996.

[Ha] C. C. Handley. Efficient planar convex hull algorithm. Image Vision Comput., 3:29-35, 1985.

[Ja] R. A. Jarvis. On the identification of the convex hull of a finite set of points in the plane. Inform. Process. Lett., 2:18-21, 1973.

[Me] K. Mehlhorn. Multi-dimensional Searching and Computational Geometry, volume 3 of Data Structures and Algorithms. Springer-Verlag, Heidelberg, Germany, 1984.

[OvL] M. H. Overmars and J. van Leeuwen. Further comments on Bykat's convex hull algorithm. Inform. Process. Lett., 10:209-212, 1980.

[P] D. M. Priest. On Properties of Floating-Point Arithmetic: Numerical Stability and the Cost of Accurate Computations. PhD thesis, Department of Mathematics, University of California at Berkeley, 1992.

[S] Jonathan Richard Shewchuk. Adaptive precision floating-point arithmetic and fast robust geometric predicates. Discrete & Computational Geometry, 18(3):305-363, October 1997.