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research article
Self-Similar Random Vector Fields and Their Wavelet Analysis
This 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.
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Type
research article
Authors
Publication date
2009
Publisher
Issue
San Diego CA, USA
Start page
74460Y
End page
1
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
September 18, 2015