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Extraction of Affine Invariant Features Using Fractal
Author(s) -
Jianwei Yang,
Guosheng Cheng,
Ming Li
Publication year - 2013
Publication title -
advances in mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.283
H-Index - 23
eISSN - 1687-9139
pISSN - 1687-9120
DOI - 10.1155/2013/950289
Subject(s) - fractal , pattern recognition (psychology) , affine transformation , invariant (physics) , artificial intelligence , affine combination , affine shape adaptation , mathematics , affine geometry of curves , curse of dimensionality , feature extraction , computer science , geometry , mathematical analysis , mathematical physics
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

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