In this study, a real-time look-ahead interpolation methodology with B-spline curve fitting technique using the selected dominant points is proposed. First, an improved scheme for selecting the dominant points is proposed to reduce the numbers of control points and iterations. Second, a point-to-curve distance function is defined, and its Taylor’s expansion is investigated for curve fitting. Finally, a real-time look-ahead interpolation function, which consists of spline fitting, feedrate scheduling and parametric interpolation modules, is developed to obtain smooth tool path and feedrate profile simultaneously. Experiments on an X-Y-Z platform are conducted with a three-dimensional tool path, and the results demonstrate the feasibility and efficiency of the present algorithms.
LinMTsaiMYauH. Development of a dynamics-based NURBS interpolator with real-time look-ahead algorithm. Int J Mach Tool Manu2007; 47: 2246–2262.
3.
SunYWangJGuoD. Guide curve based interpolation scheme of parametric curves for precision CNC machining. Int J Mach Tool Manu2006; 46: 235–242.
4.
YauHWangJ. Fast Bezier interpolator with real-time lookahead function for high-accuracy machining. Int J Adv Manuf Tech2007; 47: 1518–1529.
5.
LiWLiuYYamazakiK. The design of a NURBS pre-interpolator for five-axis machining. Int J Adv Manuf Tech2008; 36: 927–935.
6.
TsaiMNienHYauH. Development of a real-time look-ahead interpolation methodology with spline-fitting technique for high-speed machining. Int J Adv Manuf Tech2010; 47: 621–638.
7.
WangJYauH. Real-time NURBS interpolator: application to short linear segments. Int J Adv Manuf Tech2009; 41: 1169–1185.
8.
ZhangMYanWYuanC. Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines. Sci China Inform Sci2011; 54: 1407–1418.
9.
YauHKuoM. NURBS machining and feed rate adjustment for high-speed cutting of complex sculptured surfaces. Int J Prod Res2001; 39: 21–41.
10.
LangeronJDucELartigueC. A new format for 5-axis tool path computation, using Bspline curves. Comput Aided Design2004; 36: 1219–1229
11.
LinKUengWLaiJ. CNC codes conversion from linear and circular paths to NURBS curves. Int J Adv Manuf Tech2008; 39: 760–773.
12.
YehSSuH. Implementation of online NURBS curve fitting process on CNC machines. Int J Adv Manuf Tech2009; 40: 531–540
13.
FANUC. 5-axis machining features FANUC series 30i-model a/31i-model A5. Japan: FANUC Ltd, 2006.
LiYDingYMouW. Feature recognition technology for aircraft structural parts based on holistic attribute adjacency graph. Proc IMechE, Part B: J Engineering Manufacture2010; 224: 271–278.
16.
LiYWangWLiH. Feedback method from inspection to process plan based on feature mapping for aircraft structural parts. Robot Cim: Int Manuf2012; 28: 294–302.
17.
ParkHLeeJ. B-spline curve fitting based on adaptive curve refinement using dominant points. Comput Aided Design2007; 39: 439–451.
18.
ParkH. B-spline surface fitting based on adaptive knot placement using dominant columns. Comput Aided Design2011; 43: 258–264.
19.
BlakeAIsardM. Active contours. Berlin: Springer Verlag, 1998.
20.
WangWPottmannHLiuY. Fitting B-spline curves to point clouds by curvature-based squared distance minimization. ACM T Graphic2006; 25: 214–238.
21.
HamannBChenJ. Data point selection for piecewise linear curve approximation. Comput Aided Geom D1994; 11: 289–301.
22.
LiuGWongYZhangY. Adaptive fairing of digitized data with discrete curvature. Comput Aided Design2002; 34: 309–320.
23.
ParkHKimKLeeS. A method for approximate NURBS curve compatibility based on multiple curve refitting. Comput Aided Design2000; 32: 237–252.
24.
ZhuLZhangXDingH. Geometry of signed point-to-surface distance function and its application to surface approximation. J Comput Inf Sci Eng2010; 10: 041003.
25.
ZhuLZhaoHDingH. Real-time contouring error estimation using second-order approximation. Int J Mach Tool Manu2013; 68: 75–80.
26.
ZhouJSherbrookeEPatrikalakisN. Computation of stationary points of distance functions. Eng Comput1993; 9: 231–246.
27.
PieglLTillerW. The NURBS book. Berlin: Springer Verlag, 1997.
28.
XuZChenJFengZ. Performance evaluation of a real-time interpolation algorithm for NURBS curves. Int J Adv Manuf Tech2002; 20: 270–276.
29.
ZhaoHZhuLDingH. A real-time look-ahead interpolation methodology with curvature-continuous B-spline transition scheme for CNC machining of short line segments. Int J Mach Tool Manu2013; 65: 88–98.
