Bibilography

BOOKS:

1. Farin, G., 2001, Curves and surfaces for CAGD, 5th ed. Morgan Kaufmann, San Francisco.

2. Hoschek, J., Lasser, D., 1993. Fundamentals of computer aided geometric design. A K Peters, Ltd., Wellesley.

3. Hoschek, J., Kaklis, P.(Eds.), 1996. Advanced course on FAIRSHAPE. B.G. Teubner Stuttgart, Leipzig.

4. Nowacki, H., Kaklis, P.(Eds.), 1998. Creating fair and shape-preserving curves and surfaces. B.G. Teubner Stuttgart, Leipzig.

5. Applegarth, I., Kaklis, P.(Eds.), 2000. Benchmark tests on the generation of fair shapes subject to constraints. B.G. Teubner Stuttgart, Leipzig.

6. Sapidis, N. (Eds.), Designing fair curves and surfaces: shape quality in geometric modeling and CAD, SIAM, Philadelphia.

7. Su B.Q., Liu D.Y., 1989. Computational Geometry – Curve and Surface Modeling. Academic Press, Boston.

PAPERS:

1. Brunnett, G., Hagen, H., Santarelli, P., 1993. Variational design of curves and surfaces. Surv. Math. Ind. 3, 1-27.

2. Chalmoviansky, P., Jüttler, B., 2004. Fairness criteria for algebraic curves. Computing 72, 41-51.

3. Eck, M., Hadenfeld, J., 1995. Local energy fairing of B-spline curves. Computing/Supplement. 10, 129-147.

4. Farin, G., 1992. Degree reduction fairing of cubic B-spline curves. In R. Barnhill,. editor, Geometry Processing for Design and Manufacturing, SIAM, pp 87-99.

5. Farin, G., Rein, G., Sapidis, N., Worsey, A.J., 1987. Faring cubic B-spline curves. CAGD 4, 91-103.

6. Farin, G., Sapidis, N., 1989. Curvature and the fairness of curves and surfaces. IEEE Comput. Graph. Appl. 9(2), 52-57.

7. Frey, W. H., Field, D. A., 2000. Designing Bézier conic segments with monotone curvature. CAGD 17, 457-483.

8. Harada, T. Yoshimoto, F., 2004. Automatic curve fairing system using visual languages. Geometric modelling: techniques, applications, systems and tools, 302-327.

9. Hohenberger, W., Reuding, T., 1995. Smoothing rational B-spline curves using the weights in and optimization procedure. CAGD 12, 837-848.

10. Kjellander, J.A., 1983. Smoothing of cubic parametric splines. CAD 15(3), 175-179.

11. Lee, E.T.Y., 1990. Energy, fairness, and a counterexample. CAD 22(1): 37-40.

12. Li, W., Xu, S., Zheng, J., Zhao, G. 2004. Target Curvature Driven Fairing Algorithm for Planar Cubic B-Spline Curves. CAGD 21, 499-513.

13. Liu, G.H., Wong, Y.S., Zhang, Y.F., Loh, H.T., 2002. Adaptive fairing of digitized data points with discrete curvature. CAD, 34, 309-320.

14. Nowacki, H., Liu, D., Lü, X., 1990. Fairing Bezier curves with constrains. CAGD, 7, 43-55.

15. Nowacki, H., Lü, X., 1994. Fairing composite polynomial curves with constrains. CAGD, 11, 1-15.

16. Pigounakis, K.G., Kaklis, P.D., 1996. Convexity-preserving fairing. CAD 28(12), 981-994.

17. Pigounakis, K.G., Kaklis, P.D., 1998. Fairing of 2D B-splines under design constrains. Math. Engng. Ind. 7(2), 165-178.

18. Pigounakis, K.G., Sapidis, N.S., Kaklis, P.D., 1996. Fairing spatial B-spline curves. J. Ship Research 40(4), 351-367.

19. Poliakoff, J.F., 1996. An improved algorithm for automatic fairing of non-uniform paramatric cubic splines. CAD 28(1), 59-66.

20. Poliakoff, J.F., Wong, Y.K., Thomas, P.D., 1999. An automated curve fairing algorithm for cubic B-spline curves. J. Comput. Appl. Math. 102, 73-85.

21. Renz, W., 1982. Interactive smoothing of digitized point data. CAD 14(5), 267-269.

22. Roulier, J., Rando, T., Piper, B., 1991. Fairness and monotone curvature, in: Chui, C.K. (Eds.), Approximation Theory and Functional Analysis, Academic Press, Boston, pp. 177-198.

23. Sapidis, N., Farin, G., 1990. Automatic fairing algorithm for B-spline curves. CAD 22(2), 121-129.

24. Sapidis N., Koras D., 1997. Visualization of curvature plots and evaluation of fairness: an analysis of the effect of ‘scaling’. CAGD, 14, 299-311.

25. Veltkamp, R., Wesselink, W., 1995. Modeling 3D curves of minimal energy. Computer Graphics Forum, 14(3), 97-110.

26. Wang, Y., Zhao, B., Zhang, L., Xu, J., Wang, K., Wang, S., 2004. Designing fair curves using monotone curvature pieces. CAGD, 21, 515-527.

27. Yang, X., 2004. Curve fitting and fairing using conic splines. CAD, 36, 461-472.

28. Yang, X., Wang, G., 2001. Planar point set fairing and fitting by arc splines. CAD, 33, 35-43.

29. Ye, J., Qu, R., 1999. Fairing of parametric cubic splines. CAD, 30, 121-131.

30. Zhang C.M., Zhang P.F., Cheng F.H., 2001. Fairing spline curves and surfaces by minimizing energy. CAD 33(13), 913-923.

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Smoothing Boundary Curves