Paper
4 September 2009 Self-similar random vector fields and their wavelet analysis
Author Affiliations +
Abstract
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.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Pouya Dehghani Tafti and Michael Unser "Self-similar random vector fields and their wavelet analysis", Proc. SPIE 7446, Wavelets XIII, 74460Y (4 September 2009); https://doi.org/10.1117/12.824873
Lens.org Logo
CITATIONS
Cited by 3 scholarly publications.
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Wavelets

Mathematical modeling

Fourier transforms

Stochastic processes

Data modeling

Motion analysis

Fractal analysis

RELATED CONTENT


Back to Top