Tool-path generation for free-form surfaces with B-spline curves

BEY, Mohamed ;BOUDJOUAD, Salim ;TAFAT-BOUZID, Nazim .
Tool-path generation for free-form surfaces with B-spline curves. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 53, n.11, p. 733-741, august 2017. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/sl/article/tool-path-generation-for-free-form-surfaces-with-b-spline-curves/>. Date accessed: 23 jan. 2026. 
doi:http://dx.doi.org/.

Bey, M., Boudjouad, S., & Tafat-Bouzid, N.
(2007).
Tool-path generation for free-form surfaces with B-spline curves.
Strojniški vestnik - Journal of Mechanical Engineering, 53(11), 733-741.
doi:http://dx.doi.org/

@article{.,
	author = {Mohamed  Bey and Salim  Boudjouad and Nazim  Tafat-Bouzid},
	title = {Tool-path generation for free-form surfaces with B-spline curves},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {53},
	number = {11},
	year = {2007},
	keywords = {free-form surface; B-spline; curve approximation; parallel-plane machining strategy; },
	abstract = {Free-form parts used in the design and manufacture of molds, dies and aerodynamic shapes, etc., are machined on 3-axis or 5-axis milling machines. In the classical approach of tool-path generation for free-form surfaces, the tool movements are expressed as a linear interpolation. For this method of interpolation, the theoretical curves of the tool positions are approximated with a polygonal line. Consequently, the tool movements are discontinuous in tangency and curvature, which creates vibrations and consequently affects the finish of the surface. With the development of CNC interpolators that accept a B-Spline curve, it has become more advantageous to use them. In our work on the NURBS surfaces machined with a parallel-plane machining strategy on 3-axis CNC milling machines, we automate the generation of the tool path in terms of B-Spline curves by determining the minimum number of control points that give the best approximation to the different tool positions.},
	issn = {0039-2480},	pages = {733-741},	doi = {},
	url = {https://www.sv-jme.eu/sl/article/tool-path-generation-for-free-form-surfaces-with-b-spline-curves/}
}

Bey, M.,Boudjouad, S.,Tafat-Bouzid, N.
2007 August 53. Tool-path generation for free-form surfaces with B-spline curves. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 53:11

%A Bey, Mohamed 
%A Boudjouad, Salim 
%A Tafat-Bouzid, Nazim 
%D 2007
%T Tool-path generation for free-form surfaces with B-spline curves
%B 2007
%9 free-form surface; B-spline; curve approximation; parallel-plane machining strategy; 
%! Tool-path generation for free-form surfaces with B-spline curves
%K free-form surface; B-spline; curve approximation; parallel-plane machining strategy; 
%X Free-form parts used in the design and manufacture of molds, dies and aerodynamic shapes, etc., are machined on 3-axis or 5-axis milling machines. In the classical approach of tool-path generation for free-form surfaces, the tool movements are expressed as a linear interpolation. For this method of interpolation, the theoretical curves of the tool positions are approximated with a polygonal line. Consequently, the tool movements are discontinuous in tangency and curvature, which creates vibrations and consequently affects the finish of the surface. With the development of CNC interpolators that accept a B-Spline curve, it has become more advantageous to use them. In our work on the NURBS surfaces machined with a parallel-plane machining strategy on 3-axis CNC milling machines, we automate the generation of the tool path in terms of B-Spline curves by determining the minimum number of control points that give the best approximation to the different tool positions.
%U https://www.sv-jme.eu/sl/article/tool-path-generation-for-free-form-surfaces-with-b-spline-curves/
%0 Journal Article
%R 
%& 733
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 53
%N 11
%@ 0039-2480
%8 2017-08-18
%7 2017-08-18

Bey, Mohamed, Salim  Boudjouad, & Nazim  Tafat-Bouzid.
"Tool-path generation for free-form surfaces with B-spline curves." Strojniški vestnik - Journal of Mechanical Engineering [Online], 53.11 (2007): 733-741. Web.  23 Jan. 2026

TY  - JOUR
AU  - Bey, Mohamed 
AU  - Boudjouad, Salim 
AU  - Tafat-Bouzid, Nazim 
PY  - 2007
TI  - Tool-path generation for free-form surfaces with B-spline curves
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - free-form surface; B-spline; curve approximation; parallel-plane machining strategy; 
N2  - Free-form parts used in the design and manufacture of molds, dies and aerodynamic shapes, etc., are machined on 3-axis or 5-axis milling machines. In the classical approach of tool-path generation for free-form surfaces, the tool movements are expressed as a linear interpolation. For this method of interpolation, the theoretical curves of the tool positions are approximated with a polygonal line. Consequently, the tool movements are discontinuous in tangency and curvature, which creates vibrations and consequently affects the finish of the surface. With the development of CNC interpolators that accept a B-Spline curve, it has become more advantageous to use them. In our work on the NURBS surfaces machined with a parallel-plane machining strategy on 3-axis CNC milling machines, we automate the generation of the tool path in terms of B-Spline curves by determining the minimum number of control points that give the best approximation to the different tool positions.
UR  - https://www.sv-jme.eu/sl/article/tool-path-generation-for-free-form-surfaces-with-b-spline-curves/

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	author = {Bey, M., Boudjouad, S., Tafat-Bouzid, N.},
	title = {Tool-path generation for free-form surfaces with B-spline curves},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {53},
	number = {11},
	year = {2007},
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TY  - JOUR
AU  - Bey, Mohamed 
AU  - Boudjouad, Salim 
AU  - Tafat-Bouzid, Nazim 
PY  - 2017/08/18
TI  - Tool-path generation for free-form surfaces with B-spline curves
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 53, No 11 (2007): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 
KW  - free-form surface, B-spline, curve approximation, parallel-plane machining strategy, 
N2  - Free-form parts used in the design and manufacture of molds, dies and aerodynamic shapes, etc., are machined on 3-axis or 5-axis milling machines. In the classical approach of tool-path generation for free-form surfaces, the tool movements are expressed as a linear interpolation. For this method of interpolation, the theoretical curves of the tool positions are approximated with a polygonal line. Consequently, the tool movements are discontinuous in tangency and curvature, which creates vibrations and consequently affects the finish of the surface. With the development of CNC interpolators that accept a B-Spline curve, it has become more advantageous to use them. In our work on the NURBS surfaces machined with a parallel-plane machining strategy on 3-axis CNC milling machines, we automate the generation of the tool path in terms of B-Spline curves by determining the minimum number of control points that give the best approximation to the different tool positions.
UR  - https://www.sv-jme.eu/sl/article/tool-path-generation-for-free-form-surfaces-with-b-spline-curves/

Bey, Mohamed, Boudjouad, Salim, AND Tafat-Bouzid, Nazim.
"Tool-path generation for free-form surfaces with B-spline curves" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 53 Number 11 (18 August 2017)