Research on adaptive non-uniform rational B-spline real-time interpolation technology based on acceleration constraints

Emami MM, Arezoo B (2010) A look-ahead command generator with control over trajectory and chord error for NURBS curve with unknown arc length. Comput Aided Des 42(7):625–632

Lin MT, Tsai MS, Yau HT (2007) Development of a dynamics-based NURBS interpolator with real-time look-ahead algorithm. Int J Mach Tools Manuf 47(15):2246–2262

Liu X, Ahmad F, Yamazaki K, Mori M (2005) Adaptive interpolation scheme for NURBS curves with the integration of machining dynamics. Int J Mach Tools Manuf 45(4):433–444

Wang JB, Yau HT (2009) Real-time NURBS interpolator: application to short linear segments. Int J Adv Manuf Technol 41(11–12):1169–1185

Lin KY, Ueng WD, Lai JY (2008) CNC codes conversion from linear and circular paths to NURBS curves. Int J Adv Manuf Technol 39(7–8):760–773

Koren Y, Lo CC, Shpitalni M (1993) CNC interpolators: algorithms and analysis. ASME PROD ENG DIV PUBL PED, ASME, NEW YORK, NY,(USA), 1993 64:83–92

Cheng MY, Tsai MC, Kuo JC (2002) Real-time NURBS command generators for CNC servo controllers. Int J Mach Tools Manuf 42(7):801–813

Lei WT, Sung MP, Lin LY, Huang JJ (2007) Fast real-time NURBS path interpolation for CNC machine tools. Int J Mach Tools Manuf 47(10):1530–1541

Wu J, Zhou H, Tang X, Chen J (2012) A NURBS interpolation algorithm with continuous feedrate. Int J Adv Manuf Technol 59(5–8):623–632

Tsai MC, Cheng CW (2003) A real-time predictor-corrector interpolator for CNC machining. J Manuf Sci Eng 125(3):449–460

Wang Y, Yang D, Liu Y (2014) A real-time look-ahead interpolation algorithm based on Akima curve fitting. Int J Mach Tools Manuf 85:122–130

Tsai MS, Nien HW, Yau HT (2011) Development of integrated acceleration/deceleration look-ahead interpolation technique for multi-blocks NURBS curves. Int J Adv Manuf Technol 56(5–8):601–618

Wang Y, Yang D, Gai R, Wang S, Sun S (2015) Design of trigonometric velocity scheduling algorithm based on pre-interpolation and look-ahead interpolation. Int J Mach Tools Manuf 96:94–105

De Boor C, De Boor C, Mathématicien EU, De Boor C, De Boor C (2001) A practical guide to splines (Vol. 27, p. 325). Springer-Verlag, New York

Jianxin J (2000) Prearranged step interpolation method for random-space-curve in CNC machine-tool-system. Chinese Journal of Mechanical Engineering 36(4):95–97

Wang GX, Shu QL, Wang J, Wang WS (2012) Algorithm of fast evaluation and derivation for the technique of NURBS direct interpolation. Journal of Northeastern University (Natural Science) 7:028

Xinhua, L., Junquan, P., Lei, S., & Zhongbin, W. (2016). A novel approach for NURBS interpolation through the integration of acc-jerk-continuous-based control method and look-ahead algorithm. The International Journal of Advanced Manufacturing Technology, 1–9

Wang X, Wang J, Rao Z (2010) An adaptive parametric interpolator for trajectory planning. Adv Eng Softw 41(2):180–187

Wu J, Zhou H, Tang X, Chen J (2012) Fast NURBS interpolation based on the biarc guide curve. Int J Adv Manuf Technol 58(5–8):597–605