Color monogenic wavelet representation based on a tensor-like use of the riesz transform: application to image coding
Résumé
We propose a new extension of monogenic analysis to multi-valued signals like color images. This generalization is based on an analogy between the Riesz transform and structure tensors and takes advantage of the well defined vector differential geometry. Our color wavelet transform is non-marginal and its coefficients - separated into amplitude, phase, orientation and local color axis - have interesting physical interpretation in terms of local energy, contour model, and colorimetric features. An image coding application is proposed as a practical study.
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