An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products

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MAGDZIAK, Marek .
An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 62, n.1, p. 51-59, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/an-algorithm-of-form-deviation-calculation-in-coordinate-measurements-of-free-form-surfaces-of-products/>. Date accessed: 15 sep. 2019. 
doi:http://dx.doi.org/10.5545/sv-jme.2015.3039.
Magdziak, M.
(2016).
An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products.
Strojniški vestnik - Journal of Mechanical Engineering, 62(1), 51-59.
doi:http://dx.doi.org/10.5545/sv-jme.2015.3039
@article{sv-jmesv-jme.2015.3039,
	author = {Marek  Magdziak},
	title = {An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {62},
	number = {1},
	year = {2016},
	keywords = {coordinate measuring technique; free-form surface; interpolation; form deviation},
	abstract = {The article presents the new method of form deviation calculation in the case of coordinate measurements of free-form surfaces of workpieces. The proposed algorithm of form deviation evaluation is based on the interpolation process of corrected measured points. Corrected measured points are the results of probe radius correction process applied in the coordinate measuring technique. The interpolation is conducted by using of the Lagrange and Chebyshev methods. The developed algorithm of deviation calculation can be implemented in most commercial software cooperating with a coordinate measuring machine. In the article the results of numerical and experimental investigations connected with the proposed algorithm are presented. The numerical investigations concern the simulation of contact coordinate measurements of products, which can be conducted on a coordinate measuring machine. The measured products are composed of free-form surfaces characterized by various curvature and consequently various degree of geometric complexity. The experimental investigations were conducted in order to verify the results of simulation studies. The presented method improves the accuracy of measurements of free-form surfaces of products.},
	issn = {0039-2480},	pages = {51-59},	doi = {10.5545/sv-jme.2015.3039},
	url = {https://www.sv-jme.eu/article/an-algorithm-of-form-deviation-calculation-in-coordinate-measurements-of-free-form-surfaces-of-products/}
}
Magdziak, M.
2016 June 62. An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 62:1
%A Magdziak, Marek 
%D 2016
%T An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products
%B 2016
%9 coordinate measuring technique; free-form surface; interpolation; form deviation
%! An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products
%K coordinate measuring technique; free-form surface; interpolation; form deviation
%X The article presents the new method of form deviation calculation in the case of coordinate measurements of free-form surfaces of workpieces. The proposed algorithm of form deviation evaluation is based on the interpolation process of corrected measured points. Corrected measured points are the results of probe radius correction process applied in the coordinate measuring technique. The interpolation is conducted by using of the Lagrange and Chebyshev methods. The developed algorithm of deviation calculation can be implemented in most commercial software cooperating with a coordinate measuring machine. In the article the results of numerical and experimental investigations connected with the proposed algorithm are presented. The numerical investigations concern the simulation of contact coordinate measurements of products, which can be conducted on a coordinate measuring machine. The measured products are composed of free-form surfaces characterized by various curvature and consequently various degree of geometric complexity. The experimental investigations were conducted in order to verify the results of simulation studies. The presented method improves the accuracy of measurements of free-form surfaces of products.
%U https://www.sv-jme.eu/article/an-algorithm-of-form-deviation-calculation-in-coordinate-measurements-of-free-form-surfaces-of-products/
%0 Journal Article
%R 10.5545/sv-jme.2015.3039
%& 51
%P 9
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 62
%N 1
%@ 0039-2480
%8 2018-06-27
%7 2018-06-27
Magdziak, Marek.
"An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products." Strojniški vestnik - Journal of Mechanical Engineering [Online], 62.1 (2016): 51-59. Web.  15 Sep. 2019
TY  - JOUR
AU  - Magdziak, Marek 
PY  - 2016
TI  - An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2015.3039
KW  - coordinate measuring technique; free-form surface; interpolation; form deviation
N2  - The article presents the new method of form deviation calculation in the case of coordinate measurements of free-form surfaces of workpieces. The proposed algorithm of form deviation evaluation is based on the interpolation process of corrected measured points. Corrected measured points are the results of probe radius correction process applied in the coordinate measuring technique. The interpolation is conducted by using of the Lagrange and Chebyshev methods. The developed algorithm of deviation calculation can be implemented in most commercial software cooperating with a coordinate measuring machine. In the article the results of numerical and experimental investigations connected with the proposed algorithm are presented. The numerical investigations concern the simulation of contact coordinate measurements of products, which can be conducted on a coordinate measuring machine. The measured products are composed of free-form surfaces characterized by various curvature and consequently various degree of geometric complexity. The experimental investigations were conducted in order to verify the results of simulation studies. The presented method improves the accuracy of measurements of free-form surfaces of products.
UR  - https://www.sv-jme.eu/article/an-algorithm-of-form-deviation-calculation-in-coordinate-measurements-of-free-form-surfaces-of-products/
@article{{sv-jme}{sv-jme.2015.3039},
	author = {Magdziak, M.},
	title = {An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {62},
	number = {1},
	year = {2016},
	doi = {10.5545/sv-jme.2015.3039},
	url = {https://www.sv-jme.eu/article/an-algorithm-of-form-deviation-calculation-in-coordinate-measurements-of-free-form-surfaces-of-products/}
}
TY  - JOUR
AU  - Magdziak, Marek 
PY  - 2018/06/27
TI  - An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 62, No 1 (2016): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2015.3039
KW  - coordinate measuring technique, free-form surface, interpolation, form deviation
N2  - The article presents the new method of form deviation calculation in the case of coordinate measurements of free-form surfaces of workpieces. The proposed algorithm of form deviation evaluation is based on the interpolation process of corrected measured points. Corrected measured points are the results of probe radius correction process applied in the coordinate measuring technique. The interpolation is conducted by using of the Lagrange and Chebyshev methods. The developed algorithm of deviation calculation can be implemented in most commercial software cooperating with a coordinate measuring machine. In the article the results of numerical and experimental investigations connected with the proposed algorithm are presented. The numerical investigations concern the simulation of contact coordinate measurements of products, which can be conducted on a coordinate measuring machine. The measured products are composed of free-form surfaces characterized by various curvature and consequently various degree of geometric complexity. The experimental investigations were conducted in order to verify the results of simulation studies. The presented method improves the accuracy of measurements of free-form surfaces of products.
UR  - https://www.sv-jme.eu/article/an-algorithm-of-form-deviation-calculation-in-coordinate-measurements-of-free-form-surfaces-of-products/
Magdziak, Marek"An Algorithm of Form Deviation Calculation in Coordinate Measurements of Free-Form Surfaces of Products" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 62 Number 1 (27 June 2018)

Authors

Affiliations

  • Rzeszow University of Technology, Faculty of Mechanical Engineering and Aeronautics, Poland

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 62(2016)1, 51-59

10.5545/sv-jme.2015.3039

The article presents the new method of form deviation calculation in the case of coordinate measurements of free-form surfaces of workpieces. The proposed algorithm of form deviation evaluation is based on the interpolation process of corrected measured points. Corrected measured points are the results of probe radius correction process applied in the coordinate measuring technique. The interpolation is conducted by using of the Lagrange and Chebyshev methods. The developed algorithm of deviation calculation can be implemented in most commercial software cooperating with a coordinate measuring machine. In the article the results of numerical and experimental investigations connected with the proposed algorithm are presented. The numerical investigations concern the simulation of contact coordinate measurements of products, which can be conducted on a coordinate measuring machine. The measured products are composed of free-form surfaces characterized by various curvature and consequently various degree of geometric complexity. The experimental investigations were conducted in order to verify the results of simulation studies. The presented method improves the accuracy of measurements of free-form surfaces of products.

coordinate measuring technique; free-form surface; interpolation; form deviation