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Vol. 170, Issue 5, May 2014, pp. 248-255




An Improved Minimum Error Interpolator of CNC for General Curves Based on FPGA

1, 2Jiye HUANG, 1 Jiaxiang LOU, 1 Zhanxiong WU, 1 Mingyu GAO

1 Hangzhou Dianzi University, Hangzhou, 310018, China

2 E-mail: hjynet@hdu.edu.cn



Received: 10 January 2014 /Accepted: 30 April 2014 /Published: 31 May 2014

Digital Sensors and Sensor Sysstems


Abstract: This paper presents an improved minimum error interpolation algorithm for general curves generation in computer numerical control (CNC). Compared with the conventional interpolation algorithms such as the By-Point Comparison method, the Minimum- Error method and the Digital Differential Analyzer (DDA) method, the proposed improved Minimum-Error interpolation algorithm can find a balance between accuracy and efficiency. The new algorithm is applicable for the curves of linear, circular, elliptical and parabolic. The proposed algorithm is realized on a field programmable gate array (FPGA) with Verilog HDL language, and simulated by the ModelSim software, and finally verified on a two-axis CNC lathe. The algorithm has the following advantages: firstly, the maximum interpolation error is only half of the minimum step-size; and secondly the computing time is only two clock cycles of the FPGA. Simulations and actual tests have proved that the high accuracy and efficiency of the algorithm, which shows that it is highly suited for real-time applications.


Keywords: Improved Minimum-Error Interpolation, FPGA, CNC.


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