A unified texture model based on a 2-D Wold-like decomposition

Francos, J.M.; Meiri, Amihai; Porat, B.

doi:10.1109/78.229897

Cited by 166 publications

(92 citation statements)

References 26 publications

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“…In general, the MA model support has infinite dimensions. However, in the texture modeling problem, we have found (see, e.g., [10] and [11]) that in many cases, the spectral density function of the purely indeterministic component is smooth and has small dynamic range (i.e., no sharp peaks). This property suggests that the purely indeterministic component can be well modeled using a finite support NSHP MA model.…”

Section: Introductionmentioning

confidence: 99%

Parameter estimation of two-dimensional moving average random fields

Francos

Friedlander

1998

IEEE Trans. Signal Process.

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Section: Introductionmentioning

confidence: 99%

Parameter estimation of two-dimensional moving average random fields

Francos

Friedlander

1998

IEEE Trans. Signal Process.

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“…We observed that, the frequency was concentrated much in the low-low sub band and used the same for further decompositions. We considered almost all kinds of wavelet methods available for decomposition [19]. Of those, we found that, Daubechies wavelet proved to provide us good results.…”

Section: Figure 2 Sample Image and Its Histogrammentioning

confidence: 99%

An Efficient Content Based Image Retrieval System

Sharma¹,

Batra²

2014

IOSRJCE

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“…У роботі розглядається двовимірна синусоїд-на модель спостережень текстурованої поверхні, різні дискретні модифікації якої отримали вели-ку увагу в літературі з обробки сигналів завдяки їх застосуванню в аналізі текстур [1][2][3][4], зокрема в обробці так званих симетричних образів відтін-ків сірого (symmetric gray-scale texture images). Ця проблема має спеціальний інтерес у спектраль-ному аналізі [5] (див.…”

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Consistency of the Least Squares Estimate of Textured Surface Parameters

Ivanov

Maliar

2017

Research Bulletin of the National Technical University of Ukraine "Kyiv Politechnic Institute"

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Background. For sinusoidal observation model of textured surface, i.e. model where regression function is a two-parameter harmonic oscillation and noise is a homogeneous isotropic Gaussian random field on the plane with zero mean and covariance function of the special kind, the problem of statistical estimation of sinusoidal model unknown amplitudes and angular frequencies is considered. Objective. The aim of the paper is to study asymptotic behavior of the least squares estimate (LSE) of unknown amplitudes and angular frequencies of textured surface sinusoidal model. Methods. The results were obtained on the application of methodology developed in the papers by A.V. Ivanov et al. (2009 and monograph by A.V. Ivanov, N.N. . Results. Sufficient conditions on random noise covariance function that ensure strong consistency of sinusoidal model parameters LSE are obtained. Conclusions.The obtained results allow extending them on the models where regression function is a sum of several two-parameter harmonic oscillations. Besides LSE consistency property will allow proving asymptotic normality of these estimates in further works.

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A unified texture model based on a 2-D Wold-like decomposition

Cited by 166 publications

References 26 publications

Parameter estimation of two-dimensional moving average random fields

Parameter estimation of two-dimensional moving average random fields

An Efficient Content Based Image Retrieval System

Consistency of the Least Squares Estimate of Textured Surface Parameters

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