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Fractal descriptors based on quaternion Fourier transform for color texture analysis

[+] Author Affiliations
Feng Zhu

Southeast University, Laboratory of Image Science and Technology, No. 2, Sipailou, Nanjing 210096, China

Jiangsu University, Faculty of Science, Zhenjiang 212013, China

Meifeng Dai, Yuqing Song

Jiangsu University, Faculty of Science, Zhenjiang 212013, China

Conghua Xie

Changshu Institute of Technology, School of Computer Science and Engineering, SuZhou 215500, China

Limin Luo

Southeast University, Laboratory of Image Science and Technology, No. 2, Sipailou, Nanjing 210096, China

J. Electron. Imaging. 24(4), 043004 (Jul 27, 2015). doi:10.1117/1.JEI.24.4.043004
History: Received September 19, 2014; Accepted June 19, 2015
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Abstract.  Texture and color are important features in analyzing images of natural scenes. Fractal descriptors based on quaternion Fourier transform and local polynomial regression are proposed for color texture image analysis. First, considering the relation between the power spectrum and frequency in the quaternion Fourier transform domain, we proposed fractal dimensions of a color image using a fast quaternion Fourier transform. Second, local polynomial regression is applied to estimate log(spectrum)–log(frequency) curve, which is not usually linear in a natural texture image. Finally, a local polynomial regression curve is defined as fractal descriptors for the color image classification problem with multiclasses. The experimental results show that our proposed approach is more effective than other color texture analysis methods both in the correct classification rate and the duration.

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Citation

Feng Zhu ; Meifeng Dai ; Conghua Xie ; Yuqing Song and Limin Luo
"Fractal descriptors based on quaternion Fourier transform for color texture analysis", J. Electron. Imaging. 24(4), 043004 (Jul 27, 2015). ; http://dx.doi.org/10.1117/1.JEI.24.4.043004


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