Prescribing the length of rational Bézier curves

Computer Aided Geometric Design

Volumn 13, Issue 1, 1996, Pages 23-43

  Roulier, John A ^a   Piper, Bruce ^b  

^a University of Connecticut   (United States)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Arc length; Convex curve; Rational B zier curve; Rational parametric curve

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; PERFORMANCE; POLYNOMIALS; THEOREM PROVING;

ARC LENGTH; CONVEX CURVE; RATIONAL BEZIER CURVE; RATIONAL PARAMETRIC CURVE;

COMPUTER AIDED DESIGN;

EID: 0030085828     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-8396(95)00005-4     Document Type: Article

References (8)

1. Farin, G. (1990), Curves and Surfaces for Computer Aided Geometric Design, Academic Press, New York.
2. Fiume, E. (1995), Isometric piecewise polynomial curves. Computer Graphics Forum, to appear.
3. Lorentz, G.G. (1966), Approximation of Functions, Holt, Rinehart, and Winston, New York.
4. Roulier, J. (1993a), Specifying the arc length of Bézier curves, Computer Aided Geometric Design 10, 25-56.
5. Roulier, J. (1993b), Curves with monotone curvature from Bézier curves of specified arc length, in: Wilson, P.R., Wozny, M.J. and Pratt, M.J., eds., Geometric Modeling for Product Realization, IFIP Transactions B-8, North-Holland, Amsterdam, 1-12.
6. Roulier, J. and Piper, B. (1994), Interpolation with an arc length constraint, in: Laurent, P.J., Le Méhauté, A. and Schumaker, L.L., eds., Curves and Surfaces in Geometric Design, A.K. Peters, Wellesley, MA, 393-400.
7. Roulier, J.A. and Piper, B. (1996), Prescribing the length of parametric curves, Computer Aided Geometric Design 13, 3-22, this issue.
8. Stoer, J. and Bulirsch, R. (1993), Introduction to Numerical Analysis, Texts in Applied Mathematics 12, Springer, New York, 2nd ed.