Cubic parametric curves of given tangent and curvature

CAD Computer Aided Design

Volumn 30, Issue 1, 1998, Pages 1-9

  Juhász, Imre ^a  

^a UNIVERSITY OF MISKOLC   (Hungary)

Author keywords

B zier curves; Blending; Constraints; Cubics

Indexed keywords

CONSTRAINT THEORY; CURVE FITTING; MORPHOLOGY; PARAMETER ESTIMATION; SURFACES; VECTORS;

SURFACE BLENDING;

COMPUTER AIDED DESIGN;

EID: 0031654489     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(97)00046-8     Document Type: Article

References (13)

1. Boehm, W., On cubics: a survey. Computer Graphics and Image Processing, 1982, 19(3), 201-226.
2. Forrest, A. A., The twisted cubic curve: a computer-aided geometric design approach. Computer-Aided Design, 1980, 12(4), 165-172.
3. Patterson, R. R., Parametric cubics as algebraic curves. Computer Aided Geometric Design, 1988, 5(2), 139-159.
4. Klass, R., An offset spline approximation for plane cubic splines. Computer-Aided Design, 1983, 15(5), 297-299.
5. de Boor, C., Höllig, K. and Sabin, M., High accuracy geometric Hermit interpolation. Computer Aided Geometric Design, 1987, 4(4), 269-278.
6. Roulier, J. A., Specifying the arc length of Bézier curves. Computer Aided Geometric Design, 1993, 10(1), 25-56.
7. Roulier, J. A. and Piper, B., Prescribing the arc length of parametric curves. Computer Aided Geometric Design, 1996, 13(1). 3-22.
8. Roulier, J. A. and Rando, T., Measures of fairness for curves and surfaces. In Designing Fair Curves and Surfaces, ed. N. S. Sapidis. SIAM, Philadelphia, 1994, pp. 75-122.
9. Liming, R., Mathematics for Computer Graphics. Aero Publisher. 1979.
10. Fudos, I. and Hoffmann, C. M., Constraint-based parametric conies for CAD. Computer-Aided Design, 1996, 28(2), 165-172.
11. Vida, J., Martin, R. R. and Váradi, T., A survey of blending methods that use parametric surfaces. Computer-Aided Design, 1994, 26(5), 341-365.
12. Korn, G. A. and Korn, T. M., Mathematical handbook for scientists and engineers. McGraw-Hill Book Company, 1968.
13. Nowacki, H., Liu, D. and Lü, X., Fairing Bézier curves with constraints. Computer Aided Geometric Design, 1990, 7(1-4), 43-55.