Texture decomposition by harmonics extraction from higher order statistics |
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Authors: | Yong Huang Kap Luk Chan |
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Affiliation: | School of Electrical and Electronic Engineering, Nanyang Technological University, Singapore. huangyong@pmail.ntu.edu.sg |
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Abstract: | In this paper, a method of harmonics extraction from Higher Order Statistics (HOS) is developed for texture decomposition. We show that the diagonal slice of the fourth-order cumulants is proportional to the autocorrelation of a related noiseless sinusoidal signal with identical frequencies. We propose to use this fourth-order cumulants slice to estimate a power spectrum from which the harmonic frequencies can be easily extracted. Hence, a texture can be decomposed into deterministic components and indeterministic components as in a unified texture model through a Wold-like decomposition procedure. The simulation and experimental results demonstrated that this method is effective for texture decomposition and it performs better than traditional lower order statistics based decomposition methods. |
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