This paper concerns the detection of small defects inserted in various textured backgrounds with more or less spherical filters and wavelets. We have evaluated the detection efficiency of the filters when the controlled isotropic defects are first added in synthetic textured images, then in real reference textured images, the Brodatz textures, and finally in medical images, parts of digital mammographies. Three families of filters are involved: the less spherical family is the Gabor filters, the nearly isotropic wavelets ϕ and ψ, and the Mexican hat filters, which are totally spherical. We have also studied the influence of the defect amplitude by considering various truncations. To achieve this, the defect height was truncated at different percentages.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Soo Chang Kim and Tae Jin Kang. Texture classification and segmentation using wavelet packet frame and gaussian mixture model. Pattern Recognition, 40(4):1207–1221, April 2007.
K. Muneeswaran, L. Ganesan, S. Arumugam, and K. R. Soundar. Texture classification with combined rotation and scale invariant wavelet features. Pattern Recognition, 38(10):1495–1506, October 2005.
O. Pichler, A. Teuner, and B.J. Hosticka. A comparison of texture feature extraction using adaptive gabor filtering, pyramidal and tree structured wavelet transforms. Pattern Recognition, 29(5):733–742, 1996.
Jacques Brochard, Majdi Khoudeir, and Bertrand Augereau. Invariant feature extraction for 3d texture analysis using the autocorrelation function. Pattern Recognition Letters, 22(6–7):759–768, May 2001.
D. Chetverikov and A. Hanbury. Finding defects in texture using regularity and local orientation. Pattern Recognition, 35:203–218, 2002.
D.-M. Tsai and C.-P. Lin. Fast defect detection in textured surfaces using 1d gabor filters. Advanced Manufacturing Technology, 20:664–675, 2002.
Chaoquan Chen and Guoping Qiu. Detection algorithm of particle contamination in reticle images with continuous wavelet transform. In Proceedings of the British Machine Vision Conference, 2001.
H. Q. Jiang, L. Ma, H. Y. Jiang, and A. Rinoshika. Application of wavelet-based singularity detection technique in automatic inspection system. International Journal of Wavelets Multiresolution and Information Processing, 4(2):285–295, June 2006.
H. W. Zhang, Y. L. Yin, and G. Z. Ren. An improved method for singularity detection of fingerprint images. Advances in Biometric Person Authentification, Proceedings, 3338:516–524, 2004.
J. M. Zhong and R. L. Ning. Image denoising based on wavelets and multifractals for singularity detection. IEEE Transactions on Image Processing, 14(10):1435–1447, October 2005.
C. Gouttière, G. Lemaur, and J. De Coninck. Influence of filter sphericity on the detection of singularities in synthetic images. Signal Processing, 87(3):552–561, March 2007.
C. Gouttière, G. Lemaur, and J. De Coninck. Influence of sphericity parameter on the detection of singularities in synthetic images. In Joao Manuel RS Tavares and Jorge R. M. Natal, editorsComputational Modelling of Objects Represented in Images: Fundamentals, Methods and Applications, volume 1, pages 211–214, London, July 2007. Taylor & Francis.
C. Gouttière and J. De Coninck. Detection of synthetic singularities in digital mammographies using spherical filters. In Joao Manuel RS Tavares and Jorge R. M. Natal, editorsComputational Vision and Medical Image Processing, pages 97–100, London, 2008. Taylor & Francis.
G. Lemaur. On the Choice of the Wavelet Basis Function for Image Processing. PhD thesis, University of Mons-Hainaut, Belgium, 2003.
G. Lemaur and J. De Coninck. Sphericity of wavelets may improve the detection of singularities in images. In Proceedings of Computing Engineering in Systems Applications, Lille, France, July 2003.
L. Cayon, J. L. Sanz, E. Martinez-Gonzalez, A. J. Banday, F. Argueso, J. E. Gallegos, K. M. Gorski, and G. Hinshaw. Spherical mexican hat wavelet: an application to detect non-gaussianity in the cobe-dmr maps. Monthly Notices of the Royal Astronomical Society, 326(4):1243–1248, October 2001.
J. Gonzalez-Nuevo, F. Argueso, M. Lopez-Caniego, L. Toffolatti, J. L. Sanz, P. Vielva, and D. Herranz. The mexican hat wavelet family: application to point-source detection in cosmic microwave background maps. Monthly Notices of the Royal Astronomical Society, 369(4):1603–1610, July 2006.
S. Arivazhagan, L. Ganesan, and S. Bama. Fault segmentation in fabric images using gabor wavelet transform. Machine Vision and Applications, V16(6):356–363, February 2006.
A. Bodnarova, M. Bennamoun, and S. Latham. Optimal gabor filters for textile flaw detection. Pattern Recognition, 35(12):2973–2991, December 2002.
S.E. Grigorescu, N. Petkov, and P. Kruizinga. Comparison of texture features based on gabor filters. IEEE Transactions on Image Processing, 11(10):1160–1167, 2002.
D. M. Tsai, S. K. Wu, and M. C. Chen. Optimal gabor filter design for texture segmentation using stochastic optimization. Image and Vision Computing, 19(5):299–316, April 2001.
Alain Fournier, Don Fussell, and Loren Carpenter. Computer rendering of stochastic models. Communication of the ACM, 25(6):371–384, 1982.
B. S. Manjunath and W. Y. Ma. Texture features for browsing and retrieval of image data. IEEE Transactions on Pattern Analysis and Machine Intelligence, 18(8):837–842, August 1996.
R. Manthalkar, P. K. Biswas, and B. N. Chatterji. Rotation invariant texture classification using even symmetric gabor filters. Pattern Recognition Letters, 24(12):2061–2068, August 2003.
D. R. Rohrmus. Invariant and adaptive geometrical texture features for defect detection and classification. Pattern Recognition, 38(10):1546–1559, October 2005.
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science +Business Media B.V.
About this chapter
Cite this chapter
Gouttièlre, C., Coninck, J. (2009). Efficiency of Spherical Filters on Detection of Isotropic Defects in Textured Backgrounds. In: Tavares, J.M.R.S., Jorge, R.M.N. (eds) Advances in Computational Vision and Medical Image Processing. Computational Methods in Applied Sciences, vol 13. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9086-8_13
Download citation
DOI: https://doi.org/10.1007/978-1-4020-9086-8_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-9085-1
Online ISBN: 978-1-4020-9086-8
eBook Packages: Computer ScienceComputer Science (R0)