Graphics Reference
In-Depth Information
[SedN90]
Sederberg, Thomas W., and Nishita, T., “Curve Intersection Using Bézier Clipping,” CAD,
22 (9), November 1990, 538-549.
[SedP86]
Sederberg, Thomas W., and Parry, S.R., “A Comparison of Three Curve Intersection Algo-
rithms,” CAD, 18 ( 1), January/February 1986, 58-63.
[SheJ87]
Shene, Ching-Kuang, and Johnstone, John K., “On the Planar Intersection of Natural
Quadrics,” in [Fari87], 233-242.
[Shen94]
Shene, Ching-Kuang, “Computing the Intersection of a Line and a Cylinder,” in [Heck94],
353-355.
[Shen95]
Shene, Ching-Kuang, “Computing the Intersection of a Line and a Cone,” in [Paet95], 227-231.
[Stoy92]
Stoyanov, Tz.E., “Marching Along Surface/Surface Intersection Curves with an Adaptive Step
Length,” CAGD, 9 (6), December 1992, 485-489.
[Timm77]
Timmer, H.G., “Analytical Background for Computation of Suface Intersections,” Douglas Air-
craft Company Technical Memorandum, C1-250-CAT-77-036, April 1977.
[Turn88]
Turner, Joshua U., “Accurate Solid Modeling Using Polyhedral Approximations,” CG&A, 8 (3),
May 1988, 14-28.
[Wang92]
Wang, K.Y., “Parametric Surface Intersections,” in [Barn92], 187-204.
[WilM93]
Wilf, Itzhak, and Manor, Yehuda, “Quadric-Surface Intersection Curves: Shape and Struc-
ture,” CAD, 25 (10), October 1993, 633-643.
[WuAn99]
Wu, Shin-Ting, and Andrade, Lenimar N., “Marching Along a Regular Surface/Surface Inter-
section with Circular Steps,” CAGD, 16 (4), May 1999, 249-268.
[YeMa99]
Ye, Xiuzi, and Maekawa, Takashi, “Differential Geometry of Intersection Curves of Two Sur-
faces,” CAGD, 16 (8), September 1999, 767-788.
[ZhoS99]
Zhou, Y., and Suri, S., “Analysis of a Bounding Box Heuristic for Object Intersection,” J. of
the ACM, 46 (6), November 1999, 833-857.
Interval Analysis
(See also [Snyd92])
[AleH83]
Alefeld, Götz, and Herzberger, Jürgen, Introduction to Interval Computations , Academic Press,
1983.
[Garl85]
Garloff, J., “Interval Mathematics. A Bibliography,” Freiburger Interval-Berichte, 1985,
Volume 6 , 1-122.
[Garl87]
Garloff, J., “Bibliography on Interval Mathematics. Continuation,” Freiburger Interval-
Berichte, 1987, Volume 2 , 1-50.
[HuPY96a]
Hu, Chun-Yi, Patrikalakis, Nicholas M., and Ye, Xiuzi, “Robust Interval Solid Modelling, Part
I: Representations,” CAD, 28 (10), October 1996, 807-817.
[HuPY96b]
Hu, Chun-Yi, Patrikalakis, Nicholas M., and Ye, Xiuzi, “Robust Interval Solid Modelling, Part
II: Boundary Evaluation,” CAD, 28 (10), October 1996, 819-830.
[Moor66]
Moore, Ramon E., Interval Analysis , Prentice-Hall, Inc., 1966.
[Moor79]
Moore, Ramon E., Methods and Applications of Interval Analysis , SIAM, 1979.
[Snyd92a]
Snyder, John M., “Interval Analysis for Computer Graphics,” SIGGRAPH 92, 26 (2), July 1992,
121-130.
Mathematics for Geometric Modeling
[AgoM05]
Agoston, Max K., Computer Graphics and Geometric Modeling: Mathematics , Springer, 2005.
[BowW83]
Bowyer, A., and Woodwark, J., A Programmer's Geometry , Butterworths, 1983.
[Hogg92]
Hoggar, S.G., Mathematics for Computer Graphics , Cambridge Univ. Press, 1992.
[Mort89]
Mortenson, M.E., Computer Graphics: An Introduction to the Mathematics and Geometry ,
Industrial Press, 1989.
Rogers, D.F., and Adams, J.A., Mathematical Elements for Computer Graphics , 2 nd
[RogA90]
Edition,
McGraw-Hill, 1990.
Medial Axes
[BBGS99]
Blanding, Robert, Brooking, Cole, Ganter, Mark, and Storti, Duane, “A Skeletal-Based Solid
Editor,” in [BroA99], 141-150.
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