Estimation of Noncausal Model for Random Image with Double Peak Spectrum

概要

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A new type of noncausal stochastic model is pro-posed to represent a random image with double peak spectrum.The model based on the assumption that the double peak spectrum is expressed by a product of two spectra located at two sym-metric positions in the 2D spatial frequency space. Estimation of model parameters is made by means of minimizing the "whiteness" which was proposed in authors' previous work. In a simulation for model estimation we make use of computer-generated random images with double peak spectrum. Comparing this with the estimation by a causal model, we demonstrate that the present method can better estimate not only the spectral peak location but also the spectral shape. The proposed model can be extend to an image model with multi-peak spectrum. However, Increase of parameters makes the model estimation more difficult. We try a model with triple peak spectra since a real texture image usually possesses a spectral peak at the origin besides the two peaks.A result shows that the estimation of three spectral positions are good enough, but their spectral shapes are not necessarily satisfactory. It is expected that the estimation of multi-peaked spectral model can be made better by improving the process of minimizing the "whiteness."
社団法人電子情報通信学会の論文
1996-10-25