Tafti, P.D.Unser, M.2015-09-182015-09-182015-09-18200910.1117/12.824873https://infoscience.epfl.ch/handle/20.500.14299/118161This paper is concerned with the mathematical characterization and wavelet analysis of self-similar random vector fields. The study consists of two main parts: the construction of random vector models on the basis of their invariance under coordinate transformations, and a study of the consequences of conducting a wavelet analysis of such random models. In the latter part, after briefly examining the effects of standard wavelets on the proposed random fields, we go on to introduce a new family of Laplacian-like vector wavelets that in a way duplicate the covariant-structure and whitening relations governing our random models.text::journal::journal article::research article