Local detection of defects from image sequences

Ewaryst Rafajłowicz; Marek Wnuk; Wojciech Rafajłowicz

International Journal of Applied Mathematics and Computer Science (2008)

  • Volume: 18, Issue: 4, page 581-592
  • ISSN: 1641-876X

Abstract

top
Our aim is to discuss three approaches to the detection of defects in continuous production processes, which are based on local methods of processing image sequences. These approaches are motivated by and applicable to images of hot metals or other surfaces, which are uniform at a macroscopic level, when defects are not present. The first of them is based on the estimation of fractal dimensions of image cross-sections. The second and third approaches are compositions of known techniques, which are selected and tuned to our goal. We discuss their advantages and disadvantages, since they provide different information on defects. The results of their testing on 12 industrial images are also summarized.

How to cite

top

Ewaryst Rafajłowicz, Marek Wnuk, and Wojciech Rafajłowicz. "Local detection of defects from image sequences." International Journal of Applied Mathematics and Computer Science 18.4 (2008): 581-592. <http://eudml.org/doc/207910>.

@article{EwarystRafajłowicz2008,
abstract = {Our aim is to discuss three approaches to the detection of defects in continuous production processes, which are based on local methods of processing image sequences. These approaches are motivated by and applicable to images of hot metals or other surfaces, which are uniform at a macroscopic level, when defects are not present. The first of them is based on the estimation of fractal dimensions of image cross-sections. The second and third approaches are compositions of known techniques, which are selected and tuned to our goal. We discuss their advantages and disadvantages, since they provide different information on defects. The results of their testing on 12 industrial images are also summarized.},
author = {Ewaryst Rafajłowicz, Marek Wnuk, Wojciech Rafajłowicz},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {image processing; fractal dimension; morphological operations},
language = {eng},
number = {4},
pages = {581-592},
title = {Local detection of defects from image sequences},
url = {http://eudml.org/doc/207910},
volume = {18},
year = {2008},
}

TY - JOUR
AU - Ewaryst Rafajłowicz
AU - Marek Wnuk
AU - Wojciech Rafajłowicz
TI - Local detection of defects from image sequences
JO - International Journal of Applied Mathematics and Computer Science
PY - 2008
VL - 18
IS - 4
SP - 581
EP - 592
AB - Our aim is to discuss three approaches to the detection of defects in continuous production processes, which are based on local methods of processing image sequences. These approaches are motivated by and applicable to images of hot metals or other surfaces, which are uniform at a macroscopic level, when defects are not present. The first of them is based on the estimation of fractal dimensions of image cross-sections. The second and third approaches are compositions of known techniques, which are selected and tuned to our goal. We discuss their advantages and disadvantages, since they provide different information on defects. The results of their testing on 12 industrial images are also summarized.
LA - eng
KW - image processing; fractal dimension; morphological operations
UR - http://eudml.org/doc/207910
ER -

References

top
  1. Adler J.R. (1981). The Geometry of Random Fields, Wiley, Chichester. Zbl0478.60059
  2. Barnsley M. (1988). Fractals Everywhere, Academic Press, New York, NY. Zbl0691.58001
  3. Benassi A., Cohen S., Istas J. (2002). Identification and properties of real harmonizable fractional levy motions, Bernoulli 8(1): 97-115. Zbl1005.60052
  4. Benassi A., Cohen S., Istas J. (2003). Local self-similarity and Hausdorff dimension, Comptes Rendus Mathematique 336(3): 267-272. Zbl1023.60043
  5. Chan G., Hall P. and Poskitt D. S. (1995). Periodogram-based estimators of fractal properties, Annals of Statistics 23 (5): 1684-1711. Zbl0843.62090
  6. Conci A., Proenca C.B. (1998). A fractal image analysis system for fabric inspection based on a box-counting method. Computer Networks and ISDN Systems 30(20-21): 1887-1895. 
  7. Constantine A.G. and Hall P. (1994). Characterizing surface smoothness via estimation of effective fractal dimension, Journal of the Royal Statistical Society: Series B 56 (1): 97-113. Zbl0804.62079
  8. Davies E. R. (2005). Machine Vision: Theory, Algorithms, Practicalities, 3rd Edn., Academic Press, San Francisco, CA. 
  9. Davies E. R. (2008). A generalised approach to the use of sampling for rapid object location, International Journal of Applied Mathematics of Computer Science 18(1): 7-19. 
  10. Davies S. and Hall P. (1999). Fractal analysis of surface roughness by using spatial data, Journal of the Royal Statistical Society: Series B 61 (1): 3-37. Zbl0927.62118
  11. Dworkin S.B. and Nye T.J. (2006). Image processing for machine vision measurement of hot formed parts, Journal of Materials Processing Technology 174 (1-3): 1-6. 
  12. Falconer K. (1990). Fractal Geometry, Wiley, New York, NY. Zbl0689.28003
  13. Gonzalez R.C. and Wintz P. (1977). Digital Image Processing, Addison-Wesley, Reading, MA. Zbl0441.68097
  14. Hu M.K. (1962) Visual pattern recognition by moment invariants, IEEE Transactions on Information Theory 6(2): 179-187. Zbl0102.13304
  15. Kent J.T. and Wood A.T. (1997), Estimating the fractal dimension of a locally self-similar Gaussian process by using increments, Journal of the Royal Statistical Society: Series B 59 (3): 679-699. Zbl0889.62072
  16. Istas J. and Lang G. (1997). Quadratic variations and estimation of the local Hölder index of a Gaussian process, Annales de I'Institut Henri Poincare (B) Probability and Statistics 33 (4): 407-436. Zbl0882.60032
  17. Jähne, B. (2002). Digital Image Processing, Springer-Verlag, Berlin/Heidelberg. Zbl0981.68165
  18. Gill J. Y. and Werman M. (1993). Computing 2-D min, median and max filters, IEEE Transactions on Pattern Analysis and Machine Intelligence 15(5): 504-507. 
  19. O'Leary P. (2005). Machine vision for feedback control in a steel rolling mill, Computers in Industry 56(8-9): 997-1004. 
  20. Malamas E.N., Petrakis E. G. M., Zervakis M., Petit L. and Legat J-D. (2003). A survey on industrial vision systems, applications and tools, Image and Vision Computing 21(2): 171-188. 
  21. Ott E. (1993). Chaos in Dynamical Systems, Cambridge University Press, Cambridge. Zbl0792.58014
  22. Rafajłowicz E. (2008). Testing homogeneity of coefficients in distributed systems with application to quality monitoring, IEEE Transactions on Control Systems Technology 16(2): 314-321. 
  23. Pratt P.K. (2001). Digital Image Processing, 3rd Edn., Wiley, New York, NY. Zbl0728.68142
  24. Rafajłowicz E. (2004) Testing (non-)existence of input-output relationships by estimating fractal dimensions, IEEE Transactions Signal Processing 52(11): 3151-3159. 
  25. Rosenfeld A. and Kak A.C. (1982). Digital Picture Processing, Academic Press, Inc., Orlando, FL. Zbl0564.94002
  26. Schuster H.G. (1988). Deterministic Chaos, VGH Verlagsgesellschaft, Weinheim. Zbl0707.58003
  27. Skubalska-Rafajłowicz E. (2005). A new method of estimation of the box-counting dimension of multivariate objects using space-filling curves, Nonlinear Analysis 63 (5-7): 1281-1287. Zbl1221.62088
  28. Skubalska-Rafajłowicz E. (2008). Local correlation and entropy maps as tools for detecting defects in industrial images, International Journal of Applied Mathematics and Computer Science 18(1): 41-47. 
  29. Tricot C. (1995). Curves and Fractal Dimension, Springer, New York, NY. Zbl0847.28004
  30. Tsai D.-M., Lin C.-T., Chen J.-F. (2003). The evaluation of normalized cross correlations for defect detection, Pattern Recognition Letters 24 (15): 2525-2535. Zbl1100.68613
  31. Wnuk M. (2008). Remarks on hardware implementation of image processing algorithms, International Journal of Applied Mathematics and Computer Science 18(1): 105-110. 
  32. Van Herk M. (1992). A fast algorithm for local minimum and maximum filters on rectangular and octagonal kernels, Pattern Recognition Letters 13(7): 517-521. 
  33. Vincent L. (1993). Grayscale area openings and closings, their efficient implementation and applications, Proceedings of the EURASIP Workshop on Mathematical Morphology and its Applications to Signal Processing, Barcelona, Spain, pp. 22-27. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.