Generation of smooth surfaces by controlling curvature variation

Computer Graphics Forum

Volumn 15, Issue 3, 1996, Pages 187-196

  Higashi, Masatake ^a   Tsutamori, Hideo ^a   Hosaka, Mamoru ^a  

^a TOYOTA TECHNOLOGICAL INSTITUTE   (Japan)

Author keywords

Aesthetic shape; Curvature variation; Evolute; Smooth surface; Surface modelling

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER SIMULATION; DESIGN; INTERPOLATION; MATHEMATICAL MODELS; SURFACES;

AESTHETIC SHAPES; BEZIER POLYGONS; CURVATURE VARIATION; DIRECTRIX; GENERATRIX; SHADING; SMOOTH SURFACES; SURFACE GENERATION METHOD; SURFACE MODELLING;

COMPUTER GRAPHICS;

EID: 0030244739     PISSN: 01677055     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-8659.1530187     Document Type: Article

References (22)

1. R.E. Anderson, "Surfaces with prescribed curvature I", Computer Aided Geometric Design, 10, pp.431-452 (1993).
2. J.M. Beck, R.T. Farouki, J.K. Hinds, "Surface analysis methods", IEEE CG&A, 6(12), pp.18-36 (1986).
3. J. C. Dill, "An application to the display of curvature", Computer Graphics, 15(9), pp.153-161 (1981).
4. G. Farin, G. Rein, N. Sapidis, A.J. Worsey, "Fairing cubic B-spline curves", Computer Aided Geometric Design, 4, pp.91-103 (1987).
5. G. Farin, G. Rein, N. Sapidis, "Curvature and the Fairness of Curves and Surfaces", IEEE CG&A, 12(2), pp.52-57 (1989).
6. G. Farin, Curves and Surfaces for Computer Aided Geometric Design - Second Edition, Academic Press (1990).
7. P.N. Georgiades, D.P. Greenberg, "Locally Manipulating the Geometry of Curved Surfaces", IEEE CG&A, 15(1), pp.54-64 (1992).
8. E. Kaufmann, R. Klass, "Smoothing surfaces using reflection lines for families of splines", Computer-aided Design, 20(6), pp.312-316 (1988).
9. R. Klass, "Correction of local surface irregularities using reflection lines", Computer-aided Design, 12(2), pp.73-77 (1980).
10. H. Hagen, G. Schulze, "Automatic smoothing with geometric surface patches", Computer Aided Geometric Design, 4, pp.231-235 (1987).
11. H. Hagen, G.P. Bonneau, "Variational design of smooth rational Bezier curves", Computer Aided Geometric Design, 8, pp.393-399 (1991).
12. M. Higashi, I. Kohzen, J. Nagasaka, "An Interactive CAD System for Construction of Shapes with High-Quality Surface", in: E.A. Warman (ed.), Computer Application in Production and Engineering CAPE '83, North-Holland, pp.371-391 (1983).
13. M. Higashi, K. Kaneko, M. Hosaka, "Generation of High-Quality Curve and Surface with Smoothly Varying Curvature", in: D.A. Duce, P. Jancene (eds.), EUROGRAPHICS '88, North-Holland, pp.79-92 (1988).
14. M. Higashi, T. Kushimoto, M. Hosaka, "On formulation and Display for Visualizing Features and Evaluating Quality of Free-form Surfaces", in: C.E. Vandoni and D.A. Duce (eds.), EUROGRAPHICS '90, North-Holland, pp.299-309 (1990).
15. M. Higashi, T. Saitoh, Y. Watanabe, Y. Watanbe, "Analysis of Aesthetic Free-form Surfaces by Surface Edges", in: S.Y. Shin, T. Kunii (eds.), Computer Graphics and Applications, World Scientific, pp.294-305 (1995).
16. M. Hosaka, Modeling of Curves and Surfaces in CAD/CAM, Springer-Verlag, New York (1991).
17. D.S. Meek, R.S.D. Thomas, "A guided clothoidal spline", Computer Aided Geometric Design, 8, 163-174 (1991).
18. H. Meier, H. Nowacki, "Interpolating curves with gradual changes in curvature", Computer Aided Geometric Design, 4, pp.297-305 (1987).
19. E. Mehlum, "Nonlinear Splines", in: R.E. Barnhill, R.F. Riesenfeld (eds.), Computer Aided Geometric Design, Academic Press, pp.173-207 (1974).
20. H. Nowacki and X. Lu, "Fairing composite polynomial curves with constraints", Computer Aided Geometric Design, 11, pp.1-15 (1994).
21. H. Pottmann, "Smooth curves under tension", Computer-aided Design, 22(4), pp.241-245 (1990).
22. D.J. Walton, D.S. Meek, "Clothoidal Splines", Computers and Graphics, 14(1), pp.95-100 (1990).