A method of real-time NURBS interpolation with confined chord error for CNC systems

Nguyen Huu Quang; Banh Tien Long

doi:10.15625/2525-2518/55/5/9206

A method of real-time NURBS interpolation with confined chord error for CNC systems

Nguyen Huu Quang, Banh Tien Long

Author affiliations

Authors

Nguyen Huu Quang Hanoi University of Science and Technology, 1 Dai Co Viet, Hai Ba Trung, Ha Noi, Viet Nam
Banh Tien Long Hanoi University of Science and Technology, 1 Dai Co Viet, Hai Ba Trung, Ha Noi, Viet Nam

DOI:

https://doi.org/10.15625/2525-2518/55/5/9206

Keywords:

CNC interpolation, CAD/CAM, NURBS, DeBoor’s algorithm

Abstract

This paper presents a method of real-time CNC interpolation for free-form NURBS curves. The interpolation algorithm is based on second order Taylor’s expansion with the principle part being a formula for updating the parametric value u after each sampling period. With the updated value of u, a new interpolated point is calculated based on the DeBoor’s algorithm. In this paper, an efficient method of limiting chord error introduced by the interpolation algorithm is also presented with the basic idea of reducing machining feedrate at positions with a radius of curvature smaller than a critical value.

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Published

20-10-2017

How to Cite

[1]

N. H. Quang and B. T. Long, “A method of real-time NURBS interpolation with confined chord error for CNC systems”, Vietnam J. Sci. Technol., vol. 55, no. 5, pp. 650–657, Oct. 2017.

IEEE

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Issue

Vol. 55 No. 5 (2017)

Section

Mechanical Engineering - Mechatronics

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