Graphics Reference
In-Depth Information
Convex Sets
[Rock70]
Rockafellar, R. Tyrrell, Convex Analysis , Princeton University Press, Princeton, New Jersey,
1970.
[Vale64]
Valentine, Frederick A., Convex Sets , McGraw-Hill Book Co., 1964.
Curvature
[Ande93]
Andersson, Roger K.E., “Surfaces With Prescribed Curvature I,” CAGD, 10 (5), October 1993,
431-452.
[KakG96]
Kaklis, P.D., and Ginnis, A.I., “Sectional-Curvature Preserving Skinning Surfaces,” CAGD,
13 (7), October 1996, 601-619.
[KrLM98]
Krsek, P., Lukács, G., and Martin, R.R., “Algorithms for Computing Curvatures from Range
Data,” in [Crip98], 1-16.
[MeeW00]
Meek, D.S., and Walton, D.J., “On Surface Normal and Gaussian Curvature Approximations
Given Data Sampled from a Smooth Surface,” CAGD, 17 (6), July 2000, 521-543.
[Miur00]
Miura, Kenjiro T., “Unit Quaternion Integral Curve: A New Type of Fair Free-Form Curves,”
CAGD, 17 (1), January 2000, 39-58.
[Sapi92]
Sapidis, Nickolas S., “Controlling the Curvature of a Quadratic Bézier Curve,” CAGD, 9 (1),
May 1992, 85-91.
[TheF97]
Theisel, Holger, and Farin, Gerald, “The Curvature of Characteristic Curves on Surfaces,”
CG&A, 17 (6), November/December 1997, 88-96.
[Woll00]
Wollmann, Christian, “Estimation of the Principle Curvatures of Approximated Surfaces,”
CAGD, 17 (7), August 2000, 621-630.
[WolT92]
Wolter, Franz-Erich, and Tuohy, Séamus T., “Curvature Computations for Degenerate Surface
Patches,” CAGD, 9 (4), September 1992, 241-270.
[Ye96]
Ye, Xiuzi, “The Gaussian and Mean Curvature Criteria for Curvature Continuity Between
Surfaces,” CAGD, 13 (6), August 1996, 549-567.
Curve Algorithms
[Figu95]
de Figueiredo, Luiz H., “Adaptive Sampling of Parametric Curves,” in [Paet95], 173-178.
[Grav95]
Gravesen, Jens, “The Length of Bézier Curves,” in [Paet95], 199-205.
[GueP90]
Guenter, Brian, and Parent, Richard, “Computing the Arc Length of Parametric Curves,”
CG&A, 10 (3), May 1990, 72-78.
[KopM83]
Koparkar, P.A., and Mudur, S.P., “A New Class of Algorithms for the Processing of Paramet-
ric Curves,” CAD, 15 (1), January 1983, 41-45.
[LiCr97]
Li, Yong-Ming, and Cripps, Robert J., “Identification of Inflection Points and Cusps on Ratio-
nal Curves,” CAGD, 14 (5), June 1997, 491-497.
[ManC90]
Manocha, Dinesh, and Canny, John F., “Polynomial Parameterizations for Rational Curves,”
in Ferrari, Leonard A., and de Figueiredo, Rui J.P., editors, Curves and Surfaces in Computer
Vision and Graphics , Proceedings SPIE - The International Society for Optical Engineering,
February 13-15, 1990, Santa Clara, CA, Volume 1251, 151-162.
[ManC92a]
Manocha, Dinesh, and Canny, John F., “Detecting Cusps and Inflection Points in Curves,”
CAGD, 9 (1), May 1992, 1-24.
[RouB96a]
Roulier, John A., Piper, Bruce, “Prescribing the Length of Parametric Curves,” CAGD, 13 (1),
February 1996, 3-22.
[RouB96b]
Roulier, John A., Piper, Bruce, “Prescribing the Length of Rational Bézier Curves,” CAGD,
13 (1), February 1996, 23-43.
[ShaT82]
Sharpe, Richard J., and Thorne, Richard W., “Numerical Method for Extracting an Arc Length
Parameterization from Parametric Curves,” CAD, 14 (2), March 1982, 79-81.
[WolF97]
Wolters, Hans J., and Farin, Gerald, “Geometric Curve Approximation,” CAGD, 14 (6), August
1997, 499-513.
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