Oblique projection approach to generating trajectory along arbitrary direction on NURBS surfaces

Xubing Chen; Guofan Hu; Youlun Xiong

doi:10.1117/12.2021216

13 March 2013 Oblique projection approach to generating trajectory along arbitrary direction on NURBS surfaces

Xubing Chen, Guofan Hu, Youlun Xiong

Proceedings Volume 8784, Fifth International Conference on Machine Vision (ICMV 2012): Algorithms, Pattern Recognition, and Basic Technologies; 87842D (2013) https://doi.org/10.1117/12.2021216
Event: Fifth International Conference on Machine Vision (ICMV 12), 2012, Wuhan, China

Abstract

Aiming at geometric rules of trajectory generation, the oblique projection approach is proposed to generating trajectories along arbitrary direction to improve reach-ability and provide more choices for 5-axis machining. First of all, a middle plane is constructed with the normal direction at the center point and passing through the center point of the encapsulating box. Secondly, a set of parallel and equidistant lines in the middle plane is constructed as the source object of oblique projection, and the inclination angles of the line set are uniformed as any value in the range of 0 to 2π. Thirdly, oblique projections are employed to produce projection trajectories on the machined surface. Finally, a user function APathGenerator V1.0 is developed in UG NX. The algorithm is robust and provides a feasible way to control direction angle and trajectory gap for the 5-axis machining of any smooth surfaces whether concave, convex or mixed.

Citation Download Citation

Xubing Chen, Guofan Hu, and Youlun Xiong "Oblique projection approach to generating trajectory along arbitrary direction on NURBS surfaces", Proc. SPIE 8784, Fifth International Conference on Machine Vision (ICMV 2012): Algorithms, Pattern Recognition, and Basic Technologies, 87842D (13 March 2013); https://doi.org/10.1117/12.2021216

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Algorithm development

Computer aided design

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