Open Access Open Access  Restricted Access Subscription or Fee Access

The use of bispectrum in testing Gaussianity and linearity for texture image projections

Salwa LAGDALI, Mohammed RZIZA


Classical methods for texture analysis assume that textures are Gaussian and linear processes which provide an independent relation between pixels. The reason behind these limited assumptions, is the use of first and second order statistics which introduce a simplicity of computation and interpretation. However, important structures in the texture emerge when we deviate from Gaussianity and linearity introduced by higher order correlation between pixels or between frequencies in the frequency domain. Higher order spectra and especially the third order namely the bispectrum can detect the non linear interaction and the dependency between frequencies. In this paper, we present a statistical analysis using 1D Hinich test on radon projections of textures to reject Gaussianity and linearity assumptions via the bispectrum and its normalized version named the bicoherence. Statistical results show a non Gaussian and a non linear behaviour of textures.


Bispectrum, bicoherence, Gaussianity, Linearity, Hinich test, radon projections

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.