Wavelet and curvelet moments for image classification: Application to aggregate mixture grading

Fionn Murtagh, Jean Luc Starck

Research output: Contribution to journalArticlepeer-review

55 Citations (Scopus)


We show the potential for classifying images of mixtures of aggregate, based themselves on varying, albeit well-defined, sizes and shapes, in order to provide a far more effective approach compared to the classification of individual sizes and shapes. While a dominant (additive, stationary) Gaussian noise component in image data will ensure that wavelet coefficients are of Gaussian distribution, long tailed distributions (symptomatic, for example, of extreme values) may well hold in practice for wavelet coefficients. Energy (second order moment) has often been used for image characterization for image content-based retrieval, and higher order moments may be important also, not least for capturing long tailed distributional behavior. In this work, we assess second, third and fourth order moments of multiresolution transform - wavelet and curvelet transform - coefficients as features. As analysis methodology, taking account of image types, multiresolution transforms, and moments of coefficients in the scales or bands, we use correspondence analysis as well as k-nearest neighbors supervised classification.

Original languageEnglish
Pages (from-to)1557-1564
Number of pages8
JournalPattern Recognition Letters
Issue number10
Publication statusPublished - 15 Jul 2008
Externally publishedYes


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