Quaternionic wavelets for texture classification

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• 作者：Raphaë ; l  ; Soulard  ; ;   ; ^{raphael.soulard@univ-poitiers.fr} ; Philippe  ; Carré ; ;   ; ^{carre@sic.univ-poitiers.fr}
• 关键词：Wavelet transform ; 2D Phase ; Quaternionic Wavelet Transform ; Image texture analysis ; Image classification
• 刊名：Pattern Recognition Letters
• 出版年：2011
• 出版时间：1 October 2011
• 年：2011
• 卷：32
• 期：13
• 页码：1669-1678
• 全文大小：1419 K

文摘

This article proposes a study of the recent quaternionic wavelet transform (QWT) from a practical point of view through a digital image analysis application. Based on a theoretic 2D generalization of the analytic signal leading to a strong 2D signal modeling, this representation uses actual 2D analytic wavelets and yields subbands having a shift-invariant magnitude and a 3-angle phase, using the quaternion algebra.

Our experiment furthers the understanding of this quite sophisticated tool, and shows its practical interest by a clear improvement of a famous wavelet application: texture classification. Thanks to coherent multiscale analysis brought by the QWT we obtain better classification results than with standard wavelets in a similar process.