Abstract
Textures and patterns are the distinguishing characteristics of objects. Texture classification plays fundamental role in computer vision and image processing applications. In this paper, texture classification using PDE (partial differential equation) approach and wavelet transform is presented. The proposed method uses wavelet transform to obtain the directional information of the image. A PDE for anisotropic diffusion is employed to obtain texture component of the image. The feature set is obtained by computing different statistical features from the texture component. The linear discriminant analysis (LDA) enhances separability of texture feature classes. The features obtained from LDA are class representatives. The proposed approach is experimented on three gray scale texture datasets: VisTex, Kylberg, and Oulu. The classification accuracy of the proposed method is evaluated using k-NN classifier. The experimental results show the effectiveness of the proposed method as compared to the other methods in the literature.
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R. M. Haralick, K. Shanmugam, and I. Dinstein, “Textural features for image classification,” IEEE Trans. Syst., Man, Cybern. 3 (6), 610–621 (1973).
M. Tuceryan and A. K. Jain, Texture Analysis. Handbook Pattern Recognition and Computer Vision, Ed. by C. H. Chen, L. F. Pau, and P. S. P. Wang (World Sci., 1993), Ch. 2, pp. 235–276.
T. Randen and J. Husøy, “Filtering for texture classification: a comparative study,” IEEE Trans. Pattern Anal. Mach. Intellig. 21 (4), 291–310 (1999).
Wu Chung-Ming and Chen Yung-Chang, “Statistical feature matrix for texture analysis,” CVGIP: Graph. Models Image Processing 54 (5), 407–419 (1992).
S. G. Mallat, “A theory for multiresolution signal decomposition: the wavelet representation,” IEEE Trans. Pattern Anal. Mach. Intellig. 2 (7), 674–693 (1989).
M. Paci, L. Nanni, A. Lathi, K. Aalto Setala, J. Hyttinen, and S. Severi, “Non binary coding for texture descriptors in sub-cellular and stem cell image classification,” Current Bioinformat. 8 (2), 208–219 (2012).
P. S. Hiremath and R. A. Bhusnurmath, “Texture image classification using nonsubsampled contourlet transform and local directional binary patterns,” Int. J. Adv. Res. Comput. Sci. Software Eng. 3 (7), 819–827 (2013).
P. S. Hiremath and R. A. Bhusnurmath, “Nonsubsampled contourlet transform and local directional binary patterns for texture image classification using support vector machine,” Int. J. Eng. Res. Technol. 2 (10), 3881–3890 (2013).
P. S. Hiremath and R. A. Bhusnurmath, “A novel approach to texture classification using NSCT and LDBP,” IJCA Special Issue Recent Adv. Inf. Technol. (NCRAIT 2014) 3, 36–42 (2014).
T. Lindeberg, “Scale-space,” in Encyclopedia of Computer Science and Engineering, Ed. by B. Wah (John Wiley and Sons, Hoboken, NJ, 2008), Vol. 4 of EncycloCSE08, pp. 2495–2504.
A. Witkin, “Scale-space filtering,” in Proc. Int. Joint Conf. on Artificial Intelligence (Karlsruhe, 1983), pp. 1019–1021.
P. Perona and J. Malik, “Scale-space and edge detection using anisotropic diffusion,” IEEE Trans. Pattern Anal. Mach. Intellig. 12 (12), 629–639 (1990).
P. S. Hiremath and R. A. Bhusnurmath, “Texture classification using anisotropic diffusion and local directional binary pattern co-occurrence matrix,” in Proc. 2nd Int. Conf. on Emerging Research in Computing, Information, Communication and Applications (ERCICA 2014) (Elsevier, 2014), Vol. 2, pp. 763–769.
P. S. Hiremath and R. A. Bhusnurmath, “RGB–based color texture image classification using anisotropic diffusion and LDBP,” in Proc. 8th Multi-Disciplinary Int. Workshop Trends in Artificial Intelligence MIWAI 2014, Ed. by M. N. Murty, et al. (Springer Int. Publ., 2014), pp. 101–111. doi 10.1007/978-3-319-13365-2_1010.1007/978-3-319-13365-2_10
P. S. Hiremath and R. A. Bhusnurmath, “Diffusion approach for texture analysis based on LDBP,” Int. J. Comput. Eng. Appl. 9 (7), Part I, 108–121 (2015).
P. S. Hiremath and R. A. Bhusnurmath, “PDE based features for texture analysis using wavelet transform,” Int. J. Cybernet. Inf. 5 (1), 143–155 (2016).
K. I. Laws, “Rapid texture identification,” SPIE 238, 376–380 (1980).
S. Arivazhagan and L. Ganeshan, “Texture classification using wavelet transform,” Pattern Recogn. Lett. 24, 1513–1521 (2003).
B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, CA, 1982).
A. Rosenfeld and J. Weszka, “Picture recognition,” in Digital Pattern Recognition, Ed. by K. Fu (Springer-Verlag, 1980), pp. 135–166.
I. Daubechies, Ten Lectures on Wavelets (SIAM, Philadelphia, PA, 1992).
R. O. Duda, P. E. Hart, and D. G. Stork, Pattern Classification (Wiley Publ., New York, 2001).
http://vismod.media.mit.edu/vismod/imagery/Vision-Texture
G. Kylberg, Kylberg Texture Dataset v. 1.0 (2012). http://www.cb.uu.se/~gustaf/texture/
T. Ojala, T. Maenpaa, M. Pietikainen, J. Viertola, J. Kyllonen, and S. Huovinen. “Outex–new framework for evaluation of texture analysis algorithms,” in Proc. Int. Conf. on Pattern Recognition (Quebec City, 2002), pp. 701–706. http://www.outex.oulu.fi/
P. S. Hiremath, S. Shivashankar, and J. Pujari, “Wavelet based features for color texture classification with application to CBIR,” Int. J. Comput. Sci. Network Security 6 (9A), 124–133 (2006).
P. S. Hiremath and S. Shivashankar, “Wavelet based co-occurrence histogram features for texture classification with an application to script identification in a document image,” Pattern Recogn. Lett. 29, 1182–1189 (2008).
J. S. Weszka, C. R. Dyer, and A. Rosenfeld, “A comparative study of texture measures for terrain classification,” IEEE Trans. Syst., Man, Cybernet. 6 (4), 269–285 (1976).
M. Amadasun and R. King, “Texural features corresponding to texural properties,” IEEE Trans. Syst., Man, Cybernet. 19 (5), 1264–1274 (1989).
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Dr. P. S. Hiremath, 1978 Ph.D. in Applied Mathematics, Karnataka University, Dharwad, Karnataka, India, 1973 Master of Science in Applied Mathematics, Karnataka University, Dharwad, Karnataka, India. He had been in the Faculty of Mathematics and Computer Science of various institutions in India, namely, National Institute of Technology, Surathkal (1977–1979), Coimbatore Institute of Technology, Coimbatore (1979–1980), National Institute of Technology, Tiruchirapalli (1980–1986), Karnataka University, Dharwad (1986–1993) and Gulbarga University, Kalaburagi (1993–2014) and, presently, has been working in KLE Technological University, BVBCET Campus, Hubli, Karnataka, India. His research areas of interest are Image Processing and Pattern Recognition, Computational Fluid Dynamics, Optimization Techniques and Computer Networks. He has published 210 research papers in peer reviewed International Journals and Proceedings of International Conferences.
Rohini A. Bhusnurmath, 2002 Master of Science in Computer Science, Karnataka University, Dharwad, Karnataka, India. She has been presently working as Lecturer at Govt. P.U. College for Girls, Vijayapur, Karnataka, India, and since 2012, pursuing Ph.D. in Computer Science at Gulbarga University, Kalaburagi, Karnataka, India. Her research areas of interest are Image Processing and Pattern Recognition. She has published 11 research papers in peer reviewed International Journals and Proceedings of International Conferences.
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Hiremath, P.S., Bhusnurmath, R.A. Texture classification using partial differential equation approach and wavelet transform. Pattern Recognit. Image Anal. 27, 473–479 (2017). https://doi.org/10.1134/S1054661817030154
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DOI: https://doi.org/10.1134/S1054661817030154