Geometrical criteria on the higher order smoothness of composite surfaces

Computer Aided Geometric Design

Volumn 16, Issue 9, 1999, Pages 907-911

  Hermann, Thomas ^a   Lukács, Gábor ^a   Wolter, Franz Erich ^b  

^a INSTITUTE FOR COMPUTER SCIENCE AND CONTROL   (Hungary)

^b LEIBNIZ UNIVERSITY HANNOVER   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER AIDED DESIGN; COMPUTER SIMULATION; CURVE FITTING; THEOREM PROVING;

GEOMETRIC CONTINUITY; HIGHER ORDER SMOOTHNESS; LINKAGE CURVE THEOREM; THREE TANGENTS THEOREM;

COMPUTATIONAL GEOMETRY;

EID: 0033204985     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(99)00036-9     Document Type: Article

References (8)

1. doCarmo, M.P. (1976), Differential Geometry of Curves and Surfaces, Prentice-Hall.
2. DeRose, T.D. and Barsky, B.A. (1985), An intuitive approach to geometric continuity for parametric curves and surfaces, in: Magnenat-Thalmann, N. and Thalmann, D., eds., Computer-Generated Images - The State of the Art, Springer, 159-175.
3. Farin, G. (1993), Curves and Surfaces for Computer Aided Geometric Design, Academic Press.
4. Gregory, J.A. (1989), Geometric continuity, in: Lyche, T. and Schumaker, L.L., eds., Mathematical Methods in Computer Aided Geometric Design, Academic Press, 353-371.
5. Herron, G.J. (1987), Techniques for visual continuity, in: Farin, G.E., ed., Geometric Modelling: Algorithms and new Trends, SIAM, 163-174.
6. Knuth, D.E. (1981), The Art of Computer Programming I, Addison-Wesley.
7. Pegna, J. and Wolter, F.-E. (1992), Geometrical criteria to guarantee curvature continuity of blend surfaces, J. Mechanical Design 114, 201-210.
8. Wolter, F.-E. and Tuohy, S.T. (1992), Curvature computations for degenerate surface patches, Computer Aided Geometric Design 9, 241-270.