An efficient methodology for slicing NURBS surfaces using multi-step methods
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Slicing the geometric models has been a crucial computational task for various manufacturing processes in which significant academic research has been dedicated for its efficiency, accuracy, and generalizability. Meanwhile, the feasibility of direct slicing of the modeled geometric surfaces needs more investigation due to the demands for precise geometrical information in applications such as multi-axis machining, layer-based manufacturing and 3D printing, coordinate metrology, and robotics. The purpose of this study is to introduce a method to find the best patches of a non-uniform rational B-spline (NURBS) surface for a direct slicing procedure. Formulating the relation between the spatial coordinates on the surface and the surface parameters is created by a parameterization process. Adams–Bashforth multi-step method is used in this methodology to calculate the most accurate series of the slicing parameters. This paper provides the conception, implementation, and verification of the developed methodology. The resulting solution is very practical and beneficial for direct slicing of CAD models in additive manufacturing systems.
KeywordsNURBS surface Additive manufacturing Slicing Multi-step methods Adams–Bashforth
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The authors would like to thank the Natural Sciences and Engineering Research Council (NSERC) of Canada for partial funding of this research work.
- 11.Allavarapu S (2013) A new additive manufacturing (AM) file format using Bezier patches. University of Cincinnati. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1385114646. Accessed 18 Nov 2016
- 13.Breen DE (1986) Creation and smooth-shading of Steiner patch tessellations. Proceedings of 1986 ACM Fall joint computer conference. IEEE Computer Society Press, p. 931–940. http://dl.acm.org/citation.cfm?id=324937. Accessed 23 April 2017
- 24.Nittler KM, Farouki RT (2015) A real-time surface interpolator methodology for precision CNC machining of swept surfaces. Int J Adv Manuf Technol 1–14Google Scholar
- 26.Sikder S, Barari A, Kishawy HA (2014) Effect of adaptive slicing on surface integrity in additive manufacturing. ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers, p. V01AT02A052–V01AT02A052Google Scholar
- 29.Piegl L, Tiller W (2012) The NURBS book. Springer Science & Business Media, pp 646Google Scholar
- 31.Faires JD, Burden RL (2012) Numerical methods, 4th. Cengage Learning, pp 610Google Scholar