Graphics Reference
In-Depth Information
[Smal61]
Smale, S., “Generalized Poincaré's Conjecture in Dimensions Greater Than Four,” Ann. of
Math., 75 (2), 1961, 391- 406.
[Smal62]
Smale, S., “On the Strutcture of Manifolds,” Amer. J. Math., 84 , 1962, 387-399.
[Thom98]
Thompson, Abigail, “Algorithmic Recognition of 3-Manifolds,” Bull. AMS, 35 (1), 1998, 57-66.
[Wall68]
Wallace, Andrew H., Differential Topology: First Steps , W. A. Benjamin, Inc., 1968.
Geodesics
[Lyus64]
Lyusternik, L.A., Shortest Paths: Variational Problems , The MacMillan Co., New York, 1964.
Geometric Modeling
[AgoM05]
Agoston, Max K., Computer Graphics and Geometric Modeling: Implementation and Algo-
rithms , Springer, 2005.
Linear Algebra
[BanW83]
Banchoff, Thomas, and Wermer, John, Linear Algebra Through Geometry , Springer-Verlag,
1983.
[Brad75]
Bradley, Gerald L., A Primer of Linear Algebra , Prentice-Hall, 1975.
[Divi75]
Divinsky, Nathan, Linear Algebra , Page Ficklin Publ. Co., 1975.
[Fink72]
Finkbeiner, Daniel T., II, Elements of Linear Algebra , W.H. Freeman and Co., 1972.
Hoffman, Kenneth, and Kunze, Ray, Linear Algebra , 2 nd
[HofK71]
Edition, Prentice-Hall, Inc., 1971.
[IpsM95]
Ipsen, Ilse C.F., and Meyer, Carl D., “The Angle Between Complementary Subspaces,” Amer.
Math. Monthly, 102 (10), December 1995, 904-911.
[John67]
Johnson, Richard E., Linear Algebra , Prindle, Weber & Schmidt, Inc., 1967.
[Lips68]
Lipschutz, Seymour, Linear Algebra , McGraw-Hill Book Co., 1968.
Noble, Ben, and Daniel, James W., Applied Linear Algebra , 2 nd
[NobD77]
Edition, Prentice-Hall, Inc.,
1977.
[Penr55]
Penrose, R., “A Generalized Inverse for Matrices,” Proc. Cambridge Phil. Soc., 51 , 1955,
406- 413.
[RaoM71]
Rao, C.R., and Mitra, S.K., Generalized Inverse of Matrices and Its Applications , John Wiley &
Sons, 1971.
Miscellaneous
[AppH77]
Appel, K., and Haken, W., “The Solution of the Four-Color Map Problem,” Sci. Amer., 237 ,
1977, 108-121.
[BoeP94]
Boehm, Wolfgang, and Prautzsch, Hartmut, Geometric Concepts for Geometric Design , A K
Peters, Ltd., 1994.
[Fari87]
Farin, Gerald, editor, Geometric Modeling: Algorithms and New Trends , SIAM, 1987.
[Greg86]
Gregory, J.A., editor, The Mathematics of Surfaces , Clarendon Press, Oxford, 1986.
Hilbert, D., and Cohn-Vossen, S., Geometry and the Imagination , 2 nd
[HilC99]
Edition, AMS Chelsea
Publ., 1999.
[Hoff89]
Hoffmann, Christoph M., Geometric and Solid Modeling: An Introduction , Morgan Kaufmann
Publ. Inc., 1989.
Rogers, D.F., and Adams, J.A., Mathematical Elements for Computer Graphics , 2 nd
[RogA90]
Edition,
McGraw-Hill, 1990.
Numerical Methods
[AbdY96]
Abdel-Malek, Karim, and Yeh, Harn-Jou, “Determining Intersection Curves Between Surfaces
of Two Solids,” CAD, 28 (6/7), June/July 1996, 539-549.
[Alex96]
Alexander, Dan, “Newton's Method - Or Is It?,” FOCUS, Math. Association of America,
October 1996, 32-33.
[ConD72]
Conte, S.D., and de Boor, C., Elementary Numerical Analysis: An Algorithmic Approach ,
McGraw-Hill Book Co., 1972.
[DahB74]
Dahlquist, G., and Bjorck, A., Numerical Methods , Prentice-Hall, Inc., 1974.
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