Abstract
A way of detecting the edge of cylindrical objects in an image with the use of the projection shadow method is proposed. The method involves the use of telecentric optics and an incoherent light source and is based on determining the object edge on the image by the position of the maximum of the derivative of the intensity dependence. The error of the proposed method is estimated theoretically and experimentally. The achieved error level in measurements of the diameter of cylindrical objects is \(0.3\times 10^{-5}\). The result confirms the efficiency and prospects of the proposed method.
Similar content being viewed by others
REFERENCES
S. V. Dvoynishnikov, I. K. Kabardin, and V. G. Meledin, ‘‘Advanced phase triangulation methods for 3D shape measurements in scientific and industrial applications,’’ in Machine Vision and Navigation, Ed. by O. Sergiyenko, W. Flores-Fuentes, and P. Mercorelli (Springer, Cham, 2020), pp. 675–711. https://doi.org/10.1007/978-3-030-22587-2_21
V. V. Rakhmanov, S. V. Dvoynishnikov, and D. O. Semenov, Diameter measurement of cylindrical products with displacement compensation along the optical axis,’’ Int. J. Circuits, Syst. Signal Process. 14, 169–174 (2020). https://doi.org/10.46300/9106.2020.14.26
V. V. Rakhmanov, S. V. Dvoynishnikov, D. O. Semenov, and V. G. Glavny, ‘‘Cylinder diameter measurement with displacement and rotation error correction for non-telecentric optics,’’ IOP J. Phys.: Conf. Ser. 1675, 012085 (2020). https://doi.org/10.1088/1742-6596/1675/1/012085
D. B. Murphy, Fundamentals of Light Microscopy and Electronic Imaging (John Wiley & Sons, New York, 2001).
E. S. Zhimuleva, P. S. Zavyalov, and M. S. Kravchenko, ‘‘Development of telecentric objectives for dimensional inspection systems,’’ Optoelectron., Instrum. Data Process. 54, 52–60 (2018). https://doi.org/10.3103/S8756699018010090
Yu. V. Chugui, ‘‘Peculiarities of formation and delimitation of images of volume bodies in coherent light,’’ Avtometriya, No. 4, 103–112 (1991).
K. I. Krylov, V. T. Prokopenko, and A. S. Mitrofanov, Application of Lasers in Machinery and Instrument Manufacture (Mashinostroenie, Leningrad, 1978).
M. Franson and S. Slanskii, Coherence in Optics (Nauka, Moscow, 1967).
G. S. Landsberg, Optics (Nauka, Moscow, 1976).
A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).
G. S. Gorelik, Oscillations and Waves: Introduction to Acoustic, Radiophysics, and Optics, Ed. by S. M. Rytov, 3rd ed. (Fizmatlit, Moscow, 2008).
S. A. Akhmanov, Physical Optics, Ed. by S. A. Akhmanov and S. Yu. Nikitin (Mosk. Gos. Univ., Moscow, 1998).
Yu. V. Chugui, ‘‘Constructive theory of formation and filtering the optical imaging and Fraunhofer diffraction patterns of 3D opaque object of constant thickness in coherent light,’’ Proc. SPIE 2655, 287–298 (1996). https://doi.org/10.1117/12.237487
Yu. V. Chugui and E. S. Senchenko, ‘‘3D image formation in transmitted partially coherent and incoherent light applied to dimensional inspection,’’ in Proc. 11th Laser Metrology for Precision Measurement and Inspection in Industry, Tsukuba, Japan, 2014, pp. 363–367. https://doi.org/10.20965/ijat.2015.p0508
Yu. V. Chugui and B. E. Krivenkov, ‘‘Fraunhofer diffraction by volumetric bodies of constant thickness,’’ J. Opt. Soc. Am. A 6, 617–626 (1989). https://doi.org/10.1364/JOSAA.6.000617
Yu. V. Chugui and E. S. Senchenko, ‘‘High precision algorithms for 3D objects shadow inspection in partially coherent light,’’ Key Eng. Mater. 613, 151–156 (2014). https://doi.org/10.4028/www.scientific.net/KEM.613.151
E. S. Senchenko and Yu. V. Chugui, ‘‘Shadow inspection of 3\(D\) objects in partially coherent light,’’ Measur. Sci. Rev. 11 (4), 104–107 (2011).
E. S. Zhimuleva, ‘‘Development and creation of optical-electronic shadow projection systems for dimensional inspection of three-dimensional objects with increased accuracy in industrial manufacture,’’ Extended Abstract of Candidate’s Dissertation in Engineering (Novosibirsk, 2017).
M. K. Rashmi and S. Rohini, ‘‘Algorithm and technique on various edge detection: A survey,’’ Signal Image Process.: Int. J. 4 (3), 65–75 (2013). https://doi.org/10.5121/sipij.2013.4306
J. M. Blackledge, Digital Image Processing: Mathematical and Computational Methods (Chichester: Elsevier, 2005).
DMK 33GX264. GigE monochrome industrial camera. https://www.theimagingsource.com/products/ industrial-cameras/gige-monochrome/dmk33gx264. Cited September 17, 2021.
TC23024. Bi-telecentric lens. https://www.opto-e.com/products/matrix-detector-telecentric-lens-model-TC23024. Cited September 17, 2021.
Tables of Physical Quantities: Reference Book, Ed. by I. K. Kikoin (Atomizdat, Moscow, 1976).
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
The authors declare that they have no conflicts of interest.
Additional information
Translated by A. Nikolskii
About this article
Cite this article
Dvoinishnikov, S.V., Rakhmanov, V.V., Kabardin, I.K. et al. A Way of Edge Detection for Cylindrical Objects on an Image by the Shadow Method of Dimensional Control. Optoelectron.Instrument.Proc. 58, 30–35 (2022). https://doi.org/10.3103/S8756699022010034
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S8756699022010034