Graphics Reference
In-Depth Information
Finite Element Method
[Arms94]
Armstrong, Cecil G., “Modelling Requirements for Finite-Element Analysis,” CAD,
26
(7), July
1994, 573-578.
[Buch95]
Buchanan, George R.,
Finite Element Analysis
, Schaum's Outline Series, McGraw-Hill, Inc.,
1995.
[Heck93]
Heckbert, Paul S., “Introduction to Finite Element Methods,” Course Notes, Volume 42,
SIGGRAPH 93, August 1993.
[HoLe88]
Ho-Le, K., “Finite Element Mesh Generation Methods: A Review and Classification,” CAD,
20
(1), January/February 1988, 27-38.
[John87]
Johnson, Claes,
Numerical Solutions of Partial Differential Equations by the Finite Element
Method
, Cambridge Univ. Press, 1987.
[MitW78]
Mitchell, A.R., and Wait, R.,
The Finite Element Method in Partial Differential Equations
, John
Wiley & Sons, Inc., 1978.
[OttP92]
Ottosen, Niels, and Petersson, Hans,
Introduction to the Finite Element Method
, Prentice Hall,
1992.
[PepH92]
Pepper, Darrell W., and Heinrich, Juan C.,
The Finite Element Method: Basic Concepts and
Applications
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Fourier Series and Transforms
[Brac86]
Bracewell, Ronald N.,
The Fourier Transform and Its Applications
, 2nd Edition, McGraw-Hill,
1986.
[CooT65]
Cooley, James W., and Tukey, John W., “An Algorithm for the Machine Calculation of Complex
Fourier Series,” Mathematics of Computation,
19
(90), April 1965, 297-301.
[Four95]
Fournier, Alain, Organizer,
Wavelets and Their Application to Computer Graphics
, Course
Notes, Volume 26, SIGGRAPH, August 1995.
[Frie63]
Friedman, Avner,
Generalized Functions and Partial Differential Equations
, Prentice-Hall, Inc.,
1963.
[Glas99]
Glassner, Andrew., “Fourier Polygons,” CG&A,
19
(1), January/February 1999, 84-91.
[GomV98]
Gomez, Jonas, and Velho, Luiz, Organizers and Lecturers,
From Fourier Analysis To Wavelets
,
Course Notes, Volume 6, SIGGRAPH, July 1998.
[LoDW97]
Lounsbery, Michael, DeRose, Tony D., and Warren, Joe, “Multiresolution Analysis for
Surfaces of Arbitrary Topological Type,” ACM TOG,
16
(1), January 1997, 34-73.
[Seel66]
Seeley, Robert,
An Introduction to Fourier Series and Integrals
, W.A. Benjamin, Inc., 1966.
[Widd71]
Widder, D.V.,
An Introduction to Transform Theory
, Academic Press, 1971.
Fractals
[AlSY97]
Alligood, Kathleen T., Sauer, Tim D., and Yorke, James A.,
Chaos: An Introduction to Dynam-
ical Systems
, Springer-Verlag, 1997.
[BBGDS92]
Banks, J., Brooks, J., Gairns, G., David, G., and Stacey, R., “On Devaney's Definition of Chaos,”
Amer. Math. Monthly,
99
, 1992, 332-334.
[Barn87]
Barnsley, Michael F., “Fractal Modelling of Real World Images,” Course Notes, Volume 15,
SIGGRAPH, July 1998.
[Barn88]
Barnsley, Michael F.,
Fractals Everywhere
, Academic Press, 1988.
[Cran95]
Crannell, Annalisa, “The Role of Transitivity in Devaney's Definition of Chaos,” Amer. Math.
Monthly,
102
(9), 1995, 788-793.
[Deva86]
Devaney, Robert L.,
An Introduction to Chaotic Dynamical Systems
, The Benjamin/Cummings
Publ. Co., 1986.
[DevK89]
Devaney, Robert L., and Keen, Linda, editors,
Chaos and Fractals: The Mathematics Behind
the Computer Graphics
, Proceedings of Symposia in Applied Mathematics, Volume 39, AMS,
1989.
[Falc85]
Falconer, K.J.,
The Geometry of Fractal Sets
, Cambridge Univ. Press, 1985.
[Fede69]
Federer, H.,
Geometric Measure Theory
, Springer-Verlag, 1969.
[FoFC82]
Fournier, Alain, Fussell, Don, and Carpenter, Loren, “Computer Rendering of Stochastic
Models,” CACM,
25
(6), June 1982, 371-384.
[Glas92]
Glassner, Andrew S., “Geometric Substitutions: A Tutorial,” CG&A,
12
(1), January 1992, 22-36.
[Lind68]
Lindenmayer, Aristid, “Mathematical Models for Cellular Interactions in Development, Parts
I and II, J. of Theoretical Biology,
18
, 1968, 280-315.
