The focus of this project was to modify the image feature extraction subsystem of the ImageRover system[11]. The subsystem was extended to use color and texture measures which more closely correspond to the human perception. The feature implemented for color is the color histogram in L u v color space. The texture measure implemented is 2D Wold decomposition, which incorporates the three most i...

Given a row contraction of operators on Hilbert space and a family of projections on the space which stabilize the operators, we show there is a unique minimal joint dilation to a row contraction of partial isometries which satisfy natural relations. For a fixed row contraction the set of all dilations forms a partially ordered set with a largest and smallest element. A key technical device in ...

The separation of unobserved sources from mixed observed data is a fundamental signal processing problem. Most of the proposed techniques for solving this problem rely on independence or at least uncorrelation assumption for source signals. This paper introduces a technique for cases that source signals are correlated with each other. The method uses Wold decomposition principle for extracting ...

| In this paper, we present a connection between the discrete Gabor expansion and the evolutionary spectral theory. Including a scale parameter in the expansion, we develop a multi-resolution Gabor representation which can be related to the Wold-Cramer decomposition of non-stationary signals. The evolutionary spectrum is then easily calculated from the Gabor coeecients. Thus, both the signal re...

Abstract The aim of the paper is to generalize decomposition theorems showed in Bagheri-Bardi et al. (Linear Algebra Appl 583:102–118, 2019; Linear 539:117–133, 2018) by a unified approach. We show general theorem with respect hereditary property. Then vast majority decompositions known algebra Hilbert space operators generalized elements Baer $$*$$ <mml:math xmlns:mml="http://www.w3.org/1998/M...

We present a solution to the problem of modeling, parameter estimation, and synthesis of natural textures. The texture field is assumed to be a realization of a regular homogeneous random field, which can have a mixed spectral distribution. On the basis of a 2-D Wold-like decomposition, the field is represented as a sum of a purely indeterministic component, a harmonic component, and a countabl...

Let [Formula: see text]. text] be commuting unitaries on some Hilbert space text], and suppose An text]-tuple of isometries is called text]-twisted isometry with respect to (or simply if clear from the context) text]’s are in commutator We prove that each admits a von Neumann–Wold type orthogonal decomposition, universal text]-algebra generated by nuclear. exhibit concrete analytic models isome...

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