Texture Classification Using Spline, Wavelet Decomposition and Fractal Dimension
Applied and Computational Mathematics
Volume 4, Issue 1, February 2015, Pages: 5-10
Received: Dec. 26, 2014; Accepted: Jan. 15, 2015; Published: Jan. 27, 2015
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Saad Al-Momen, Mathematics Department, College of Science, Baghdad University, Baghdad, IRAQ
Loay E. George, Computer Science Department, College of Science, Baghdad University, Baghdad, IRAQ
Raid K. Naji, Mathematics Department, College of Science, Baghdad University, Baghdad, IRAQ
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Feature extraction is an important process for texture classification. This paper suggests two sets of features for texture analysis. In the first set of features, a set of fractal features is obtained from the eight wavelet sub-bands that are generated by applying Haar wavelet transform twice times according to dyadic architecture. The fractal features are determined using the differential box counting method. While for determining the second set of features, the cubic spline representation is applied to decompose the image signal into rough and smooth components; then applying the wavelet transform and finally compute the fractal dimension for all the sub-bands of both images. Each type of these two extracted feature sets is studied individually, and they are used together. Their overall performance is investigated. The proposed features set has been applied on two texture datasets, one consists of textures with directional properties, and the second set consists of textures samples that have directional attributes. The test results showed that the proposed methods give a high level of classification with images that have or do not have directional properties.
Texture Classification, Texture Analysis, Fractal, Wavelet Features, Cubic Spline
To cite this article
Saad Al-Momen, Loay E. George, Raid K. Naji, Texture Classification Using Spline, Wavelet Decomposition and Fractal Dimension, Applied and Computational Mathematics. Vol. 4, No. 1, 2015, pp. 5-10. doi: 10.11648/j.acm.20150401.12
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