References

de Boor, C., A practical guide to splines. Springer-Verlag 1978.

Eck, M., Hadenfeld, J., Knot Removal for B-Spline Curves. To appear in Comp. Aided Geom. Design (1994a).

Eck, M., Hadenfeld, J., A Stepwise Algorithm for Converting B-Splines. To appear in P. J. Laurant, A. Le Méhauté, and L. L. Schumaker (eds.): Curves and Surfaces II, AK Peters (1994b).

Eck, M., Jaspert, R., Automatic Fairing of Point Sets. To appear in N. Sapidis (ed.): Designing Fair Curves and Surfaces, SIAM (1994).

Farin, G., Rein, G., Sapidis, N., Worsey, A.J., Fairing Cubic B-spline Curves. Comp. Aided Geom. Design 4 (1987), 91-103.

Farin, G., Curves and Surfaces for Computer Aided Geometric Design. A Practical Guide. Second Edition. Academic Press 1991.

Farin, G., Degree Reduction Fairing of Cubic B-Spline Curves. Geometry Processing for Design and Manufacturing, SIAM (1992), 87-99.

Gill, P. E., Murray, W., Wright, M. H., Practical optimization. Academic Press, 1981.

Golub, G. H., van Loan, C. F., Matrix computations. Second Edition. The John Hopkins University Press, 1989.

Greiner, G., Variational Design and Fairing of Spline Surfaces. To appear in Proceedings of Eurographics, 1994.

Hadenfeld, J., Local Energy Fairing of B-Spline Surfaces. Submitted to M. Dæhlen, T. Lyche, and L. L. Schumaker (eds.): Mathematical Methods in CAGD III, (1995).

Hagen, H., Schulze, G., Extremalprinzipien im Kurven- und Flächendesign. In Encarnação, J. L.; Hoschek, J.; Rix, J. (eds.): Geometrische Verfahren der Graphischen Datenverarbeitung, Springer-Verlag (1990), 46-60.

Hosaka, M., Theory of curves and surfaces synthesis and their smooth fitting. Information Processing in Japan 9 (1969), 60-68.

Kallay, M., Constrained Optimization in Surface Design. Manuscript, 1993.

Kjellander, J., Smoothing of cubic parametric splines. Comp.-Aided Design 15 (1983), 175-179.

Lee, E. T. Y., Energy, fairness, and a counterexample. Comp.-Aided Design 22 (1990), 37-40.

Mehlum, E., Nonlinear Splines. In Barnhill, R.E.; Riesenfeld, R.F. (eds.): Computer Aided Geometric Design, Academic Press (1974), 173-208.

Meier, H., Der differentialgeometrische Entwurf und die analytische Darstellung krümmungsstetiger Schiffsoberflächen. Fortschrittsberichte VDI-Reihe 20, No. 5, VDI-Verlag, 1987.

Moreton, H. P., Minimum Curvature Variation Curves, Networks, and Surfaces for Fair Free-Form Shape Design. PhD thesis, U. of California, 1993.

Nowacki, H., Mathematische Verfahren zum Glätten von Kurven und Flächen. In Encarnação, J. L.; Hoschek, J.; Rix, J. (eds.): Geometrische Verfahren der Graphischen Datenverarbeitung, Springer-Verlag (1990), 23-45.

Sapidis, N., Farin, G., Automatic Fairing Algorithm for B-Spline Curves. Comp.-Aided Design 22 (1990), 121-129.

Schaback, R., Error estimates for approximations from control nets. Comp. Aided Geom. Design 10 (1993), 57-66.

Su Buchin, Liu Dingyuan, Computational Geometry. Academic Press 1989.

Vermeulen, A.H., Bartels, R.H., Heppler, G.R., Integrating Products of B-Splines. SIAM Journal of Scientific and Statistical Computing 13 (1992) 1025-1038.