Curve fitting with arc splines for NC toolpath generation

作者: Millan K. Yeung , Desmond J. Walton

DOI: 10.1016/0010-4485(94)90099-X

关键词: Linear interpolationOverdetermined systemSpline (mathematics)BiarcEngineeringComputer Aided DesignNumerical controlCADAlgorithmCurve fitting

摘要: Abstract Many CAD/CAM systems use linear interpolation in the generation of numerical control toolpaths to approximate noncircular curves or profiles that are represented by a large number points. This method induces processing problems when dataset is and overdetermined. The paper introduces generating an NC toolpath with arc spline reducing overdetermined data simultaneously.

参考文章(7)
M. Yeung, D. Walton, Data Point Reduction for NC Tool Path Generation on Over-Determined Data Set IFAC Proceedings Volumes. ,vol. 25, pp. 117- 122 ,(1992) , 10.1016/S1474-6670(17)52349-6
L. Piegl, Curve fitting algorithm for rough cutting Computer-Aided Design. ,vol. 18, pp. 79- 82 ,(1986) , 10.1016/0010-4485(86)90154-5
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
D.J. Walton, D.S. Meek, Approximation of quadratic Be´zier curves by arc splines Journal of Computational and Applied Mathematics. ,vol. 54, pp. 107- 120 ,(1994) , 10.1016/0377-0427(94)90398-0
Antonio Albano, Representation of Digitized Contours in Terms of Conic Arcs and Straight-Line Segments Computer Graphics and Image Processing. ,vol. 3, pp. 23- 33 ,(1974) , 10.1016/0146-664X(74)90008-2
Jaroslaw R. Rossignac, Aristides A. G. Requicha, Piecewise-circular curves for geometric modeling Ibm Journal of Research and Development. ,vol. 31, pp. 296- 313 ,(1987) , 10.1147/RD.313.0296