Prescribing the length of parametric curves

Computer Aided Geometric Design

Volumn 13, Issue 1, 1996, Pages 3-22

  Roulier, John A ^a   Piper, Bruce ^b  

^a University of Connecticut   (United States)

^b RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

Arc length; B zier curve; Convex curve; Parametric curve

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; POLYNOMIALS; PROBLEM SOLVING; THEOREM PROVING;

ARC LENGTH; BEZIER CURVE; CONVEX CURVE; NEWTON-RAPHSON METHOD; PARAMETRIC CURVES;

COMPUTER AIDED DESIGN;

EID: 0030085732     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-8396(95)00004-6     Document Type: Article

References (6)

1. Fiume, E. (1995), Isometric piecewise polynomial curves, Computer Graphics Forum, to appear.
2. Roulier, J. (1993a), Specifying the arc length of Bézier curves, Computer Aided Geometric Design 10, 25-56.
3. 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.
4. 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.
5. Roulier, J.A. and Piper, B. (1996), Prescribing the length of rational Bézier curves, Computer Aided Geometric Design 13, 23-43, this issue.
6. Stoer, J. and Bulirsch, R. (1993), Introduction to Numerical Analysis, Texts in Applied Mathematics 12, Springer, New York, 2nd ed.