Geodesic
Mathematical model of screw thread inspection via computed tomography data
Matematičeskoe modelirovanie, Tome 23 (2011) no. 6, pp. 68-80.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper a novel method is proposed which allows to perform elementwise and complex inspection of screw threads using coordinate measurements and computed tomography devices. Experimental part of the work was done using numerically simulated data and real data obtained from an X-ray CT-scanner Carl Zeiss Metrotom 1500.
Keywords: threads, tomography, CT-scanner. 
@article{MM_2011_23_6_a4,
     author = {S. Kosarevsky and V. Latypov},
     title = {Mathematical model of screw thread inspection via computed tomography data},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {68--80},
     publisher = {mathdoc},
     volume = {23},
     number = {6},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_6_a4/}
}
TY  - JOUR
AU  - S. Kosarevsky
AU  - V. Latypov
TI  - Mathematical model of screw thread inspection via computed tomography data
JO  - Matematičeskoe modelirovanie
PY  - 2011
SP  - 68
EP  - 80
VL  - 23
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2011_23_6_a4/
LA  - ru
ID  - MM_2011_23_6_a4
ER  - 
%0 Journal Article
%A S. Kosarevsky
%A V. Latypov
%T Mathematical model of screw thread inspection via computed tomography data
%J Matematičeskoe modelirovanie
%D 2011
%P 68-80
%V 23
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2011_23_6_a4/
%G ru
%F MM_2011_23_6_a4
S. Kosarevsky; V. Latypov. Mathematical model of screw thread inspection via computed tomography data. Matematičeskoe modelirovanie, Tome 23 (2011) no. 6, pp. 68-80. http://geodesic.mathdoc.fr/item/MM_2011_23_6_a4/

[1] NPL Notes on Screw Gauges. National Physical Laboratory http://www.npl.co.uk/engineering-measurements/dimensional/dimensionalmeasurements/publications/npl-notes-on-screw-gauges

[2] Ikonomov P., Okamoto H., Tanaka F., Kishinami T., “Inspection method for geometrical tolerance using virtual gauges”, Robotics, Automation, Proceedings. IEEE International Conference, 1995, 550–555

[3] Carmignato S., De Chiffre L., “A new method for thread calibration on coordinate measuring machines”, CIRP Annals –Manufacturing Technology, 52:1 (2003), 447–450 | DOI

[4] He F. J., Zhang R. J., Du Z. J., Cui X. M., “Non-contact measurement of damaged external tapered thread based on linear array CCD”, Journal of Physics, 48, Conference Series. International Symposium on Instrumentation Science, Technology (2006), 676–680

[5] Robertson C., Fisher R. B., “Shape recovery, analysis on large screw threads”, 3-D Digital Imaging, Modelling, Proceedings Third Internation Conference on Volume, 2001, 300–305

[6] Katz R., Zhang H., Hong E., Internal thread measurement, NSF Engineering Research Center for Reconfigurable Manufacturing Systems, Michigan, 2009

[7] Kosarevskii S. V., Latypov V. N., “Raspoznavanie geometricheskikh parametrov rezby s pomoschyu preobrazovaniya Khafa po dvukhmernym obrazam, poluchennym s koordinatnykh sistem izmereniya tekstury poverkhnosti”, Izmereniya v sovremennom mire, sbornik nauchnykh trudov Vtoroi mezhdunarodnoi nauchno-prakticheskoi konferentsii, Izd-vo Politekhn. un-ta, SPb., 2009, 315–317

[8] Kosarevskii S. V., Latypov V. N., “Paspoznavanie pezby s pomoschyu ppeobpazovaniya Khafa po ploskim obpazam, poluchennym s dvukhkoopdinatnykh izmepitelnykh ppibopov”, Tekhnologiya mashinostroeniya, 2010, no. 7, 39–42

[9] Gruzman I. S., “Matematicheskie zadachi kompyuternoi tomografii”, Sorosovskii obrazovatelnyi zhurnal, 2001, no. 5, 117–121 | Zbl

[10] Natterer F., Matematicheskie aspekty kompyuternoi tomografii, Mir, M., 1990, 288 pp. | MR | Zbl

[11] Princen J. P., Illingworth J., Kittler J. V., “A Formal Definition of the Hough Transform: Properties, Relationships”, Journal of Mathematical Imaging, Vision, 1:1 (1992), 153–168 | DOI

[12] Toft P. A., The Radon Transform: Theory, Implementation, PhD Thesis, Technical University of Denmark, Lyngby, Denmark, 1996

[13] Perng D., Chen S., Chang Y., “A novel internal thread defect auto-inspection system”, International Journal of Advanced Manufacturing Technology, 47:5–8 (2010), 731–743 | DOI

[14] Berndt G., “Die Anlagekorrekturen bei der Bestimmung des Flankendurchmessers von symmetrischen und unsymmetrischen Aussen- und Innengewinden nach der Dreidrahtmethode oder mittels zweier Kugeln”, Zeitschrift fur Instrumentenkunde, 60 (1940)

[15] Luebbehuesen J., “Comparison between 3D Metrology Results gained with conventional CMM”, High Resolution X-ray Tomography, METROMEET, 2009

[16] Benninger R., “METROTOM 800 Computer Tomograph”, Innovation SPECIAL Metrology, 11:6–7 (2009)

[17] Nicolson E. J., Fearing R. S., “Dynamic simulation of a part-mating problem: Threaded fastener insertion”, Proceedings IEEE/RSJ International Conference on Intelligent Robots, Systems, Osaka, Japan, 1991, 30–37

[18] Nicolson E. J., Fearing R. S., “Compliant control of threaded fastener insertion”, Proceedings IEEE International Conference on Robotics, Automation, Atlanta, GA, USA, 1993, 484–490

[19] Rezba metricheskaya. Osnovnye razmery, GOST 24705-2004 (ISO 724:1993), Standartinform, M., 2005

[20] Law A. M., Kelton W. D., Polar Method, McGraw-Hall, Boston, 2001, 466 pp.

[21] Minpack Library. University of Chicago, 1999 http://www.netlib.org/minpack

[22] Fernandes L., Oliveira M., “Real-time line detection through an improved Hough transform voting scheme”, Pattern Recognition (PR), 41:1 (2008), 299–314 | DOI | Zbl

[23] Flusser J., Suk T., “Pattern recognition by affine moment invariants”, Pattern Recognition, 26 (1993), 167–174 | DOI | MR

[24] Flannery B. P., Teukolsky S. A., Vetterling W. T., Numerical Recipes in C: The Art of Scientific Computing, 2 edition, Cambridge University Press, 2002 | MR

[25] Kosarevskii S. V., Latypov V. N., Svidetelstvo o gosudarstvennoi registratsii programmy dlya EVM “Linderdaum Engine”, No 2009612374, 12.05.2009 g.

[26] Kosarevskii S. V., Latypov V. N., Svidetelstvo o gosudarstvennoi registratsii programmy dlya EVM “LVLib”, No 2010613101, 11.05.2010 g.

[27] prof. V. A. Slaev(nauch. red.), Rukovodstvo po vyrazheniyu neopredelennosti izmereniya, per. s angl., VNIIM im. D. I. Mendeleeva, SPb., 1999

[28] Evaluation of measurement data –Guide to the expression of Uncertainty in Measurement. Propogation of distributions using Monte Carlo method, First edition. Tech. rep., Joint Committee for Guides in Metrology, 2008, JCGM 101:2008