摘要: . An algorithm for data approximation with biarcs is presented. The method uses a specific formulation of appropriate parametric curves in Bezier or NURBS formulation. A base curve applied to obtain tangents and anchor points the individual arcs joining G 1 continuity. Data sampled from circular straight line segments represented precisely by one biarc. most useful numerical control drive cutter along paths.
springer.com
sci-hub.se 参考文章(11)
Wayne Tiller, Les Piegl, The NURBS Book ,(1995)
R. R. Martin, Anthony W. Nutbourne, Differential geometry applied to curve and surface design ,(1988)
Pierre Bézier, Numerical control : mathematics and applications J. Wiley. ,(1972)
Hiroshi Akima, A New Method of Interpolation and Smooth Curve Fitting Based on Local Procedures Journal of the ACM. ,vol. 17, pp. 589- 602 ,(1970) , 10.1145/321607.321609
L. Piegl, Curve fitting algorithm for rough cutting Computer-Aided Design. ,vol. 18, pp. 79- 82 ,(1986) , 10.1016/0010-4485(86)90154-5
G. Renner, Method of shape description for mechanical engineering practice Computers in Industry. ,vol. 3, pp. 137- 142 ,(1982) , 10.1016/0166-3615(82)90041-0
Wenping Wang, Barry Joe, Robust computation of the rotation minimizing frame for sweep surface modeling Computer-aided Design. ,vol. 29, pp. 379- 391 ,(1997) , 10.1016/S0010-4485(96)00077-2
J. Schönherr, Smooth biarc curves Computer-aided Design. ,vol. 25, pp. 365- 370 ,(1993) , 10.1016/0010-4485(93)90031-I
D.S. Meek, D.J. Walton, Approximating quadratic NURBS curves by arc splines Computer-aided Design. ,vol. 25, pp. 371- 376 ,(1993) , 10.1016/0010-4485(93)90032-J
D.S. Meek, D.J. Walton, Approximation of discrete data by G1 arc splines Computer-aided Design. ,vol. 24, pp. 301- 306 ,(1992) , 10.1016/0010-4485(92)90047-E