A Spectral D Wold Decomposition Algorithm for Homogeneous Random Fields
نویسندگان
چکیده
The theory of the D Wold decomposition of homogeneous random elds is e ective in im age and video analysis synthesis and model ing However a robust and computationally ef cient decomposition algorithm is needed for use of the theory in practical applications This pa per presents a spectral D Wold decomposition algorithm for homogeneous and near homoge neous random elds The algorithm relies on the intrinsic fundamental harmonic relationship among Fourier spectral peaks to identify har monic frequencies and uses a Hough transfor mation to detect spectral evanescent components A local variance based procedure is developed to determine the spectral peak support Compared to the two other existing methods for Wold de compositions global thresholding and maximum likelihood parameter estimation this algorithm is more robust and exible for the large variety of natural images as well as computationally more e cient than the maximum likelihood method
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