@article{g-wecsskafpa-91
, author = "David Goldberg"
, title = "What Every Computer Scientist Should Know About Floating-Point Arithmetic"
, journal = "ACM Computing Surveys"
, volume = "23"
, number = "1"
, pages = "5--48"
, year = "1991"
, url = "citeseer.nj.nec.com/goldberg91what.html"
}

@article{gw-ssl-00
, author = "Bernd Gartner and Emo Welzl"
, title = "On a simple sampling lemma"
, journal = "Electronic Notes in Theoretical Computer Science"
, volume = "31"
, year = "2000"
, url = "citeseer.nj.nec.com/gartner00simple.html"
}

@inproceedings{gs-eegqp-00
, author =      "Bernd G{\"a}rtner and Svend Sch{\"o}nherr"
, title =       "An Efficient, Exact, and Generic Quadratic Programming Solver for Geometric Optimization"
, booktitle =   "Proc. 16th Annu. ACM Sympos. Comput. Geom."
, year =        2000
, pages =       "110--118"
, update =      "00.11 jones"
}

@inproceedings{g-saaop-92
, author =      "Bernd G{\"a}rtner"
, title =       "A Subexponential Algorithm for Abstract Optimization Problems"
, booktitle =   "Proc. 33rd Annu. IEEE Sympos. Found. Comput. Sci."
, year =        1992
, pages =       "464--472"
, keywords =    "geometric optimization, randomized algorithm, smallest enclosing ball, distance of convex polyhedra"
, update =      "94.01 smid, 93.09 matousek+milone+mitchell"
, url = "http://www.inf.ethz.ch/personal/gaertner/publications.html"
}

@book{cg-gr-67
, author =      "H. S. M. Coxeter and S. L. Greitzer"
, title =       "Geometry Revisited"
, publisher =   "Mathematical Association of America"
, address =     "Washington, DC"
, year =        1967
}

@inproceedings{r-odtr-91
, author =      "V. T. Rajan"
, title =       "Optimality of the {Delaunay} triangulation in {$R^{d}$}"
, booktitle =   "Proc. 7th Annu. ACM Sympos. Comput. Geom."
, year =        1991
, pages =       "357--363"
, keywords =    "Delaunay triangulation"
, precedes =    "r-odtr-94"
, cites =       "a-vds-88, b-vdch-79, e-acg-87, es-vda-86, e-atccd-89, f-savd-87, gs-pmgsc-85, l-gtgac-72, ps-cgi-85, sh-cpp-75, s-cg-78, sntm-amgus-90, ZZZ"
, update =      "00.03 bibrelex, 97.11 bibrelex"
}

@techreport{e-was-92
, author =      "H. Edelsbrunner"
, title =       "Weighted alpha shapes"
, type =        "Technical {Report}"
, number =      "UIUCDCS-R-92-1760"
, institution = "Dept. Comput. Sci., Univ. Illinois"
, address =     "Urbana, IL"
, year =        1992
, update =      "98.03 bibrelex"
}

@article{em-sstcd-90
, author =      "H. Edelsbrunner and E. P. M{\"u}cke"
, title =       "Simulation of simplicity: {A} technique to cope with degenerat\e cases in geometric algorithms"
, journal =     "ACM Trans. Graph."
, volume =      9
, number =      1
, year =        1990
, pages =       "66--104"
, succeeds =    "em-sstcd-88"
, update =      "98.07 agarwal+tamassia"
}

@article{s-fpavp-80
, author =      "J. T. Schwartz"
, title =       "Fast Probabilistic Algorithms for Verification of Polynomial Identities"
, journal =     "Journal of the Association of Computing Machinery"
, volume =      27
, number =      4
, year =        1980
, pages =       "701--717"
}

@techreport{em-tdas-92
, author =      "H. Edelsbrunner and E. P. M{\"u}cke"
, title =       "Three-dimensional alpha shapes"
, type =        "Manuscript"
, number =      "UIUCDCS-R-92-1734"
, institution = "Dept. Comput. Sci., Univ. Illinois"
, address =     "Urbana-Champaign, IL"
, year =        1992
, update =      "98.03 bibrelex, 97.11 bibrelex"
}

@article{em-tdas-94
, author =      "H. Edelsbrunner and E. P. M{\"u}cke"
, title =       "Three-dimensional Alpha Shapes"
, journal =     "ACM Trans. Graph."
, volume =      13
, number =      1
, month =       jan
, year =        1994
, pages =       "43--72"
, url = "ftp://cs.uiuc.edu/pub/edels/geometry/shapes-94.tar.Z"
, comments =    "Software in \path|ftp://cs.uiuc.edu/pub/edels/geometry/alpha-2\.1a.tar.Z|"
, update =      "94.09 orourke"
}

@inproceedings{tc-sradsas-98
, author =      "M. Teichmann and M. Capps"
, title =       "Surface reconstruction with anisotropic density-scaled alpha-shapes"
, booktitle =   "IEEE Visualization '98 Proceedings"
, publisher =   "ACM/SIGGRAPH Press"
, address =     "San Francisco, CA"
, month =       oct
, year =        1998
, pages =       "67--72"
}

@book{psu-mnp-93
, author =      "A.~L. Peressini, F.~E. Sullivan and J.~J. Uhl, Jr."
, title =       "The mathematics of nonlinear programming"
, publisher =   "Springer Verlag"
, address =     "New York"
, year =        1993
, note =        "ISBN 0-387-96614-5"
}

@book{b-a-91
, author =      "C. Blatter"
, title =       "Analysis I"
, publisher =   "Springer Verlag"
, address =     "Berlin"
, year =        1991
, note =        "ISBN 3-540-54239-6"
}

@book{s-opg-91
, author =      "J. Stolfi"
, title =       "Oriented Projective Geometry"
, publisher =   "Academic Press, Inc."
, address =     "San Diego"
, year =        1991
, note =        "ISBN 0-12-672025-8"
}

@article{mt-pgfa-96
, author =      "R. Mohr and B. Triggs"
, title =       "Projective Geometry for Image Analysis"
, year =        1996
, url = "http://www.inrialpes.fr/movi/people/Triggs/isprs96/isprs96.html"
}

@book{g-cgte-71
, author =      "L. Gaal"
, title =       "Classical Galois Theory, with Examples"
, publisher =   "Chelsea Publishing Company"
, address =     "New York"
, year =        1971
, note =        "ISBN 0-8284-0268-X"
}

@book{c-ccant-96
, author =      "H. Cohen"
, title =       "A Course in Computational Algebraic Number Theory"
, publisher =   "Springer Verlag"
, address =     "New York"
, year =        1996
, note =        "ISBN 3-540-55640-0"
}

@book{a-a-93
, author =      "M. Artin"
, title =       "Algebra"
, publisher =   "Birkh{\"a}user Verlag"
, address =     "Basel"
, year =        1993
, note =        "ISBN 3-7643-2927-0"
}

@book{bjn-baa-94
, author =      "P.~B. Bhattacharya, S.~K. Jain and S.~R. Nagpaul"
, title =       "Basic Abstract Algebra"
, publisher =   "Cambridge University Press"
, address =     "New York"
, year =        1994
, note =        "ISBN 0-521-46629-6"
}

@book{nh-adsagg-93
, author =      "J. Nievergelt and K. H. Hinrichs"
, title =       "Algorithms \& Data Structures: with applications to graphics and geometry"
, publisher =   "Prentice Hall"
, address =     "Englewood Cliffs, New Jersey"
, year =        1993
, note =        "ISBN 0-13-489428-6"
}

@book{c-acpsi-92
, author =      "J. O. Coplien"
, title =       "Advanced C++ programming styles and idioms"
, publisher =   "Addison Wesley"
, year =        1992
, note =        "ISBN 0-201-54855-0"
}

@book{is-isoiec14882
, author =      "Information Technology Industry Council"
, title =       "International Standard ISO/IEC 14882: Programming Languages --- C++"
, publisher =   "American National Standards Institute"
, year =        1998
}

@techreport{gs-seefe-97t
, author =      "B. G{\"a}rtner and S. Sch{\"o}nherr"
, title =       "Smallest enclosing ellipses---fast and exact"
, type =        "Technical {Report}"
, institution = "Free University Berlin"
, address =     "Berlin, Germany"
, year =        1997
, update =      "98.07 bibrelex"
}

@article{s-sacse-91
, author =      "S. Skyum"
, title =       "A simple algorithm for computing the smallest enclosing circle\"
, journal =     "Inform. Process. Lett."
, volume =      37
, year =        1991
, pages =       "121--125"
, keywords =    "computational geometry, Voronoi diagrams, convex polygons"
, abstract =    "Presented is a simple $O(n \log n)$ algorithm for
                 computing the smallest enclosing circle of a convex
                 polygon. It can be easily extended to algorithms that
                 compute the farthest- and the closest-point Voronoi
                 diagram of a convex polygon within the same time bound.
                 (Author abstract) 4 Refs."
}

@incollection{w-sedbe-91a
, author =      "Emo Welzl"
, title =       "Smallest enclosing disks (balls and ellipsoids)"
, editor =      "H. Maurer"
, booktitle =   "New Results and New Trends in Computer Science"
, series =      "Lecture Notes Comput. Sci."
, volume =      555
, publisher =   "Springer-Verlag"
, year =        1991
, pages =       "359--370"
, succeeds =    "w-sedbe-91"
, update =      "98.03 mitchell, 94.01 rote, 93.09 matousek"
}

@article{s-qgs-57
, author =      "J. J. Sylvester"
, title =       "A question on the geometry of situation"
, journal =     "Quart. J. Math."
, volume =      1
, year =        1857
, pages =       79
}

@inproceedings{m-ltalp-82
, author =      "N. Megiddo"
, title =       "Linear-time algorithms for linear programming in {$R^{3}$} and\ related problems"
, booktitle =   "Proc. 23rd Annu. IEEE Sympos. Found. Comput. Sci."
, year =        1982
, pages =       "329--338"
, precedes =    "m-ltalp-83"
}

@article{m-bsb-89
, author =      "N. Megiddo"
, title =       "On the ball spanned by balls"
, journal =     "Discrete Comput. Geom."
, volume =      4
, year =        1989
, pages =       "605--610"
}

@mastersthesis{z-kekib-91
, author =      "J. Ziegler"
, title =       "Kleinste einschlie{\ss}ende Kugel und ihre Berechnung"
, school =      "Universit{\"a}t des Saarlands, Saarbr{\"u}cken"
, year =        1991
, note =        "Diplomarbeit"
}

@mastersthesis{f-sebb-01
, author =      "K. Fischer"
, title =       "The smallest enclosing ball of balls"
, school =      "ETH Z{\"urich}"
, year =        2001
, note =        "Diplomarbeit"
}

@techreport{f-tnmb-01
, author =      "K. Fischer"
, title =       "Two notes on the miniball of balls"
, type =        "Manuscript"
, institution = "ETH Z{\"urich}"
, year =        2001
, note =        "CGC mid-term project"
}

@inproceedings{msw-sblp-92
, author =      "J. Matou{\v s}ek and Micha Sharir and Emo Welzl"
, title =       "A subexponential bound for linear programming"
, booktitle =   "Proc. 8th Annu. ACM Sympos. Comput. Geom."
, year =        1992
, pages =       "1--8"
, cites =       "b-udkuu-38, c-ochan-91, c-lpot-86, c-lvali-89, dll-udleu-57, d-lpe-63, d-mstia-86, d-ccpac-92, df-rafdl-87, j-levso-90, j-udkkd-01, k-srsa-92, k-nptal-84a, k-palp-80, km-hgisa-72, m-lpltw-84, p-mse-84, s-sdlpc-91, s-barga-91, sw-cblpr-92, w-sedbe-91a, ZZZ"
, update =      "98.03 mitchell, 97.11 bibrelex, 97.03 smid, 96.09 agarwal"
}

@book{c-lp-83
, author =      "V. Chv{\'a}tal"
, title =       "Linear Programming"
, publisher =   "W. H. Freeman"
, address =     "New York, NY"
, year =        1983
}

@article{s-pc-97
, author =      "R. Seidel"
, note =        "Personal communication to Bernd G{\"a}rtner"
, year =        1997
}

@article{w-pc-00
, author =      "R. Willcocks"
, note =        "Personal communication to K. Fischer"
, month =       "September"
, year =        2000
}

@manual{nu-lmum-95
, author =      "S. N{\"a}her and C. Uhrig"
, title =       "The {LEDA} Manual User Manual"
, year =        1995
, update =      "97.11 bibrelex"
}

@book{asi-plr-99
, author =       "{Adobe Systems Incorporated}"
, title =        "{PostScript} Language Reference"
, publisher =    "Addison-Wesley"
, address =      "Reading, MA, USA"
, edition =      "Third"
, pages =        "xii + 897"
, year =         "1999"
, ISBN =         "0-201-37922-8"
}

@article{g-frseb-99
, author =       "B. Gaertner"
, title =        "Fast and Robust Smallest Enclosing Balls"
, journal =       "Lecture Notes Comput. Sci."
, volume =       1643
, publisher =   "Springer-Verlag"
, year =        1999
, pages =        "325--338"
}

@book{null
, author =       "No references"
, title =        "Sorry"
}

@misc{fg-sebbcsa-03
, author = "Kaspar Fischer and Bernd Gartner"
, title = "The smallest enclosing ball of balls: combinatorial structure and algorithms"
, howpublished= "to appear"
, year =        2003
}