A constrained guided G1 continuous spline curve

CAD Computer Aided Design

Volumn 35, Issue 6, 2003, Pages 591-599

  Meek, D S ^a   Ong, B H ^a,b   Walton, D J ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

^b SCHOOL OF PHYSICS   (Malaysia)

Author keywords

Constrained curve; Guided G1 spline curve

Indexed keywords

BOUNDARY CONDITIONS; CONSTRAINT THEORY; POLYNOMIALS; VECTORS;

SPLINE CURVES;

CURVE FITTING;

EID: 0037408610     PISSN: 00104485     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0010-4485(02)00086-6     Document Type: Article

References (7)

1. Duan Q., Xu G., Liu A., Wang X., Cheng F. Constrained interpolation using rational cubic spline curves with linear denominators. Korean J Comput Appl Math. 6:1999;203-215.
2. Goodman T.N.T., Ong B.H., Unsworth K. Constrained interpolation using rational cubic splines. Farin G. NURBS for curve and surface design. 1991;59-74 SIAM, Philadelphia.
3. Lee E.T.Y. The rational Bézier representation for conics. Farin G. Geometric modeling: algorithms and new trends. 1987;3-19 SIAM, Philadelphia.
4. Nowacki H., Liu D., Lü X. Fairing Bézier curves with constraints. Comput Aid Geomet Des. 7:1990;43-55.
5. Ong BH, Meek DS, Walton DJ. Constrained interpolation with rational cubics. In preparation.
6. Ong B.H., Unsworth K. On non-parametric constrained interpolation. Lyche T., Schumaker L.L. Mathematical methods in computer aided geometric design. 1992;419-430 Academic Press, New York.
7. Zhang C, Cheng F. Constrained shape-preserving parametric curve interpolation with minimum curvature. Preprint.