Optimal Interpolation Algorithm Research Based on Quasi-Hermite Space Curve

Abstract:

According to the principle of parametric curve paths CNC interpolating, a real-time interpolation algorithm based on algebraic index of the micro-segment spline is presented. It’s used to solve the problems of Hermite polynomial interpolation algorithm, which are commonly slow recursive algorithm, poor accuracy of approximation and the limitations of constant parameters increment interpolation. And the constant interpolation is achieved by fitting a first-order Taylor Formula. Simulation results show that the algorithm shortens the interpolation time and also improve the interpolation accuracy; meanwhile, it maintains the stability of the feed rate.

• Periodical: Advanced Materials Research (Volumes 317-319)
• Pages: 215-221
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.317-319.215
• Online since: August 2011
• Authors: Chang Chun Liang, Liu Qun Fan, Dang Jin Qi, Gang Yi, Zhuang Miao
• Keywords: Computerized Numerical Control (CNC), Constant Arc Increment Interpolation, Optimal Algorithm, Quasi-Hermite Spline

References

[1] Kaan Erkorkmaz, Yusuf Altintas, High Speed CNC System Design Part I jerk limited trajectory generation and quintic spline interpolation, Machine Tools & Manufacture (2011).

DOI: 10.1016/s0890-6955(01)00002-5

[2] Yau Hong-tzong, Wang Jun-bin, Chen Wen-chie, Development and Implementation for Real-time look-ahead interpolator by using Bezier curve to fit CNC continuous short blocks, Proceedings of the 2005 IEEE International Conference on Mechatronics ICM'05(2005).

DOI: 10.1109/icmech.2005.1529231

[3] Lei W T, Sung M P, Lin L Y, Fast Real-time NURBS Path Interpolation for CNC Machine Tools, International Journal of Machine Tools & Manufacture. 2006(11).

DOI: 10.1016/j.ijmachtools.2006.11.011

[4] Su Benyue, Anqing Normal College Journal (Natural Science), 2008(02)15-17. (In Chinese)

[5] Li Yajuan, Wang Guozhao, Computer Aided Design and Computer Graphics Journal, 2008(04)464-468. (In Chinese)

[6] Shi Qun, You Qingning, Ma Chengliang, Computer Integrated Manufacturing System, 2009(02)406-411. (In Chinese)

[7] Chen Jincheng, ZhongYanxiu, Shanghai Jiao Tong University Journal, 2002(11)1104-1108. (In Chinese)

[8] Shi Qun, You Qingning, Huang Yuliang, Gao Shenglin, Mechanical Engineering Journal, 2010(02)193-198. (In Chinese)

[9] You Youpeng, Wang Min, Zhu Jianying, Computer Aided Design and Computer Graphics Journal, 2001(10)943-947. (In Chinese)

[10] Liu Kezhao, Based on dynamic characteristics of machine tools direct interpolation of NURBS curve, Master Thesis, Huazhong University of Science and Technology (2004). (In Chinese)

[11] Sun Haiyang, Fan Dapeng, Li Ling, National Defense University Journal, 2008(03)122-127. (In Chinese)