Extraction of affine invariant features using fractal

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Abstract

An approach based on fractal is presented for extracting affine invariant features. Central projection transformation is employed to reduce the dimensionality of the original input pattern, and general contour (GC) of the pattern is derived. Affine invariant features cannot be extracted from GC directly due to shearing. To address this problem, a group of curves (which are called shift curves) are constructed from the obtained GC. Fractal dimensions of these curves can readily be computed and constitute a new feature vector for the original pattern. The derived feature vector is used in question for pattern recognition. Several experiments have been conducted to evaluate the performance of the proposed method. Experimental results show that the proposed method can be used for object classification. © 2013 Jianwei Yang et al.

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Yang, J., Cheng, G., & Li, M. (2013). Extraction of affine invariant features using fractal. Advances in Mathematical Physics. https://doi.org/10.1155/2013/950289

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