@inproceedings{cab05069b2ea4621a1cfec0f7ac2cba3,
title = "Texture model validation using higher-order statistics",
abstract = "Higher-than-second-order statistics are used to derive and implement 2-D Gaussianity and linearity tests which validate the assumptions of random models which characterize texture analysis and synthesis in terms of first- and second-order statistics. The non-redundant region of the 2-D cumulant sequence and its Fourier transform, the bispectrum, are correctly defined and proven. General non-minimum phase and asymmetric non-causal AR (autoregressive) and ARMA (autoregressive moving average) models of textures are derived using cumulant statistics. Parameter estimators are obtained both by solving a set of linear equations and by minimizing a cumulant-matching criterion. Simulations on synthetic data are performed and the results of the higher-order analysis on real textures are reported.",
author = "Hall, {Thomas E.} and Giannakis, {Georgios B.}",
year = "1991",
language = "English (US)",
isbn = "078030033",
series = "Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing",
publisher = "Publ by IEEE",
pages = "2673--2676",
editor = "Anon",
booktitle = "Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing",
note = "Proceedings of the 1991 International Conference on Acoustics, Speech, and Signal Processing - ICASSP 91 ; Conference date: 14-05-1991 Through 17-05-1991",
}