Graphics Reference
In-Depth Information
[BloK02]
Blomgren, Robert M., and Kasik, David J., “Early Investigation, Formulation and Use of
NURBS at Boeing,” Computer Graphics, 36 (3), August 2002, 27-32.
[Boeh80]
Boehm, Wolfgang, “Inserting New Knots into B-spline Curves,” CAD, 12 (4), July 1980, 199-201.
[CatR74]
Catmull, Edwin, and Rom, Raphael, “A Class of Local Interpolating Splines,” in [BarR74],
317-326.
[CoLR80]
Cohen, E., Lyche, T., and Riesenfeld, R.F., “Discrete B-splines and Subdivision Techniques in
Computer Aided Geometric Design and Computer Graphics,” CGIP, 14 (2), October 1980,
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[DanD89]
Daniel, M., and Daubisse, J., “The Numerical Problem of Using Bézier Curves and Surfaces
in the Power Basis,” CAGD, 6 (2), 1989, 121-128.
[deBo78]
de Boor, Carl, A Practical Guide to Splines , Springer-Verlag, 1978.
[Fari89]
Farin, Gerald, “Rational Curves and Surfaces,” in [LycS89], 215-238.
[Fari92a]
Farin, Gerald, “Degree Reduction Fairing of Cubic B-spline Curves,” in [Barn92], 87-99.
[Fari95]
Farin, Gerald, NURB Curves and Surfaces: From Projective Geometry to Practical Use , A.K.
Peters, 1995.
[Faro91]
Farouki, Rida T., “Computing with Barycentric Polynomials,” The Mathematical Intelligencer,
13 (4), 1991, 61-69.
[FarR87]
Farouki, R.T., and Rajan, V.T., “On the Numerical Condition of Polynomials in Bernstein
Form,” CAGD, 4 (1987), 191-216.
[FarR88]
Farouki, R.T., and Rajan, V.T., “Algorithms for Polynomials in Bernstein Form,” CAGD, 5 ,
1988, 1-26.
[Forr72]
Forrest, A., “Interactive Interpolation and Approximation by Bézier Polynomials,” The Com-
puter J., 15 (1), 1972, 71-79. Also in CAD 22 (9), 1990, 527-537.
[GorR74b]
Gordon, William J., and Riesenfeld, Richard F., “B-Spline Curves and Surfaces,” in [BarR74],
95-126.
[Greg74]
Gregory, John A., “Smooth Interpolation Without Twist Constraints,” in [BarR74], 71-87.
[LanR83]
Lane, J.M., and Riesenfeld, R.F., “A Geometric Proof for the Variation Diminishing Property
of B-spline Approximation,” J. Approx. Theory, 37 , 1983, 1-4.
[LeeE82]
Lee, E.T.Y., “A Simplified B-Spline Computation Routine,” Computing, 29 , 1982, 365-371.
[LiuW02]
Liu, Ligang, and Wang, Guojin, “Explicit Matrix Representation for NURBS Curves and Sur-
faces,” CAGD, 19 (6), June 2002, 409-419.
[LooD89]
Loop, Charles T., and DeRose, Tony D., “A Multisided Generalization of Bézier Surfaces,” ACM
TOG, 8 (3), July 1989, 204-234.
[LukC96]
Luken, William L., and Cheng, Fuhua (Frank), “Comparison of Surface and Derivative
Evaluation Methods for the Rendering of NURB Surfaces,” ACM TOG, 15 (2), April 1996,
153-178.
[Malc77]
Malcolm, Michael A., “On the Computation of Nonlinear Spline Functions,” SIAM J. Numer.
Anal., 14 (2), April 1977, 254-282.
[Mehl74]
Mehlum, Even, “Nonlinear Splines,” in [BarR74], 173-207.
[Niel74]
Nielson, Gregory M., “Some Piecewise Polynomial Alternatives to Splines Under Tension,” in
[BarR74], 209-235.
[Pieg91]
Piegl, Les, “On NURBS: A Survey,” CG&A, 11 (1), January 1991, 55-71.
[PieT95]
Piegl, Les, and Tiller, Wayne, The NURBS Book , Springer, 1995.
[PieT00]
Piegl, Les, and Tiller, Wayne, “Reducing Control Points in Surface Interpolation,” CG&A,
20 (5), September/October 2000, 70-74.
[PraG92]
Prautzsch, H., and Gallagher, T., “Is There a Geometric Variation Diminishing Property for
B-spline or Bézier Surfaces?,” CAGD, 9 (2), 1992, 119-124.
[Rams88]
Ramshaw, Lyle, “Béziers and B-Splines as Multiaffine Maps,” in [Earn88], 757-776.
[Rams89]
Ramshaw, Lyle, “Blossoms Are Polar Forms,” CAGD, 6 (4), 1989, 323-359.
[Rasa90]
Rasala, Richard, “Explicit Cubic Spline Interpolation Formulas,” in [Glas90], 579-584.
[Rock93]
Rockwood, Alyn, “A Brief Introduction to Blossoming,” Course Notes, Volume 82, SIGGRAPH
93, August 1993.
[Roge01]
Rogers, David F., An Introduction to NURBS with Historical Perspective , Morgan Kaufmann
Publ., 2001.
[Scho46]
Schoenberg, I.J., “Contributions to the Problem of Approximation of Equidistant Data by Ana-
lytic Functions,” Quart. Appl. Math., 4 , 1946, 45-99.
[Scho67]
Schoenberg, I.J., “On Spline Functions,” in Inequalities , edited by O. Shisha, Academic Press,
1967, 255-291.
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