Shape preserving interpolation by space curves

Computer Aided Geometric Design

Volumn 15, Issue 1, 1997, Pages 1-17

  Goodman, T N T ^a   Ong, B H ^a,b  

^a UNIVERSITY OF DUNDEE   (United Kingdom)

^b SCHOOL OF PHYSICS   (Malaysia)

Author keywords

Interpolation; Rational cubic; Shape preserving; Space curve; Splines

Indexed keywords

CURVE FITTING; GEOMETRY; GRAPHIC METHODS; INTERPOLATION; SPLINES;

SPACE CURVES;

COMPUTER AIDED DESIGN;

EID: 0031381123     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-8396(97)81781-5     Document Type: Article

References (9)

1. Floater, M.S. (1992), Derivatives of rational Bézier curves, Computer Aided Geometric Design 9, 161-174.
2. Goodman, T.N.T. (1988), Shape preserving interpolation by parametric rational cubic splines, in: International Series of Numerical Mathematics 86, Birkhäuser, Basel, 149-158.
3. Goodman, T.N.T. (1991), Inflections on curves in two and three dimensions, Computer Aided Geometric Design 8, 37-50.
4. Goodman, T.N.T. (1996), Total positivity and the shape of curves, in: Gasca, M. and Micchelli, C.A., eds., Total Positivity and its Applications, Kluwer, Dordrecht, 157-186.
5. Goodman, T.N.T. and Ong, B.H. (1996), Shape preserving interpolation by space curves, Report AA/963, University of Dundee.
6. Goodman, T.N.T., Ong, B.H. and Unsworth K. (1991), Constrained interpolation using rational cubic splines, in: Farin G., ed., Nurbs for Curve and Surface Design, SIAM, 59-74.
7. 3, preprint.
8. Kaklis, P.D. and Pandelis, D.G. (1990), Convexity-preserving interpolatory parametric splines of nonuniform degree, IMA J. Numer. Anal. 10, 223-234.
9. Labenski, C. and Piper, B. (1996), Coils, Computer Aided Geometric Design 20, 1-29.