Graphics Reference
In-Depth Information
Hamilton, William R.,
Elements of Quaternions
, 3
rd
Edition, Chelsea Publ. Co., New York,
1969. Also in
Lectures on Quaternions
(1853): Republished in
The Mathematical Papers of Sir
William Rowan Hamilton
, Volume III,
Algebra
, Cambridge Univ. Press, London, 1967.
[Hami69]
[HaMa95]
Hanson, Andrew J., and Ma, Hui, “Quaternion Frame Approach to Streamline Visualization,”
IEEE Trans. on Visualization and Computer Graphics,
1
(2), June 1995, 164-174.
[HarA02]
Harada, Koichi, and Anzai, Takeshi, “Multiple Sweeping Using Quaternion Operations,” CAD,
34
(11), September 2002, 815-822.
Herstein, I.N.,
Topics in Algebra
, 2
nd
[Hers75]
Edition, John Wiley and Sons, Inc., New York, 1975.
[KaLL83]
Kane, Thomas R., Likins, Peter W., and Levinson, David A.,
Spacecraft Dynamics
, McGraw-
Hill, Inc., 1983.
[Kuip99]
Kuipers, Jack B.,
Quaternions and Rotation Sequences
, Princeton Univ. Press, 1999.
MacLane, Saunders, and Birkhoff, Garrett,
Algebra
, 2
nd
[MacB79]
Edition, MacMillan Publ. Co., Inc.,
New York, 1979.
[MiTW73]
Misner, Charles W., Thorne, Kip S., and Wheeler, John Archibald,
Gravitation
, W. H. Freeman
and Co., San Francisco, Chapter 41 - Spinors, 1973.
[MitR68]
Mitchell, E.E.L., and Rogers, A.E., “Quaternion Parameters in the Simulation of a Spinning
Rigid Body,” in
Simulation the Dynamic Modeling of Ideas and Systems with Computers
, John
McLeod, P.E., editor, 1968.
[PicS83]
Pickert, G. and Steiner, H.-G., “Chapter 8 - Complex Numbers and Quaternions,” in
Funda-
mentals of Mathematics, Volume I - Foundations of Mathematics: The Real Number System and
Algebra
, H. Behnke, F. Bachmann, K. Fladt, and W. Suss, editors, Translated by S.H. Gould,
1983.
Porteous, Ian R.,
Topological Geometry
, 2
nd
Edition, Cambridge Univ. Press, Cambridge, 1981.
[Port81]
[Shoe85]
Shoemake, Ken, “Animating Rotation with Quaternion Curves,” Computer Graphics,
SIGGRAPH 85,
19
(3), July 1985, 245-254.
[Shoe91]
Shoemake, Ken, “Quaternions and 4 ¥ 4 Matrices,” in [Arvo91], 351-354.
[Shoe93]
Shoemake, Ken, “Quaternions,” Course Notes, Volume 60, SIGGRAPH 93, August 1993.
[Stil98]
Stillwell, John, “Exceptional Objects,” Amer. Math. Monthly,
105
(9), November 1998,
850-858.
[Tayl79]
Taylor, Russell H., “Planning and Execution of Straight Line Manipulator Trajectories,” IBM
J. Res. Develop. 23, No. 4, July 1979, 424-436. Also in
Robot Motion: Planning and Control
,
edited by Michael Brady, John M. Hollerbach, Timothy L. Johnson, Tomas Lozano-Perez, and
Matthew T. Mason, The MIT Press, 1982.
[YanF64]
Yang, A.T., and Freudenstein, F., “Application of Dual-Number Quaternion Algebra to the
Analysis of Spatial Mechanisms,” J. Appl. Mech., Trans. ASME 86, 1964, 300-308.
Radiosity
[CCWG88]
Cohen, M.F., Chen, S.E., Wallace, J.R., and Greenberg, D.P., “A Progressive Refinement
Approach to Fast Radiosity Image Generation,” SIGGRAPH 88,
22
(4), August 1988, 75-84.
[CohG85]
Cohen, M.F., and Greenberg, D.P., “A Radiosity Solution for Complex Environments,”
SIGGRAPH 85,
19
(3), July 1985, 31-40.
[CohW93]
Cohen, Michael F., and Wallace, John R.,
Radiosity and Realistic Image Synthesis
, Academic
Press, 1993.
[NeuN95]
Neumann, Laszlo, and Neumann, Attila, “Radiosity and Hybrid Methods,” ACM TOG,
14
(3),
July 1995, 233-265.
[WaCG87]
Wallace, J.R., Cohen, M.F., and Greenberg, D.P., “A Two-Pass Solution to the Rendering
Equation: A Synthesis of Ray Tracing and Radiosity Methods,” SIGGRAPH 87,
21
(4), July
1987, 311-320.
Raster Algorithms
[AckW81]
Ackland, Bryan, and Weste, Neil, “The Edge Flag Algorithm—A Fill Method for Raster Scan
Displays,” IEEE Trans. on Computers, Vol
C-30
, January 1981.
[ArcM75]
Arcelli, C., and Massarotti, A., “Regular Arcs in Digital Contours,” CGIP,
4
(1975), 339-360.
[BoLZ75]
Bongiovanni, G., Luccio, F., and Zorat, A., “The Discrete Equation of the Straight Line,” IEEE
Trans. Comp.,
24
(1975), 310-313.
