Juan R. Romero

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In this paper we investigate Isotropic Multiresolution Analysis(IMRA), isotropic refinable functions, and wavelets. The main results are the characterization of IMRAs in terms of the Lax-Wiener Theorem, and the characterization of isotropic refinable functions in terms of the support of their Fourier transform. As an immediate consequence of these results,(More)
We analyze localized textural consistencies in high-resolution X-ray CT scans of coronary arteries to identify the appearance of diagnostically relevant changes in tissue. For the efficient and accurate processing of CT volume data, we use fast wavelet algorithms associated with three-dimensional isotropic multiresolution wavelets that implement a(More)
We extend some of the classical results of the theory of multires-olution analysis (MRA) frames to Euclidean space R d ; d > 1; and provide relevant examples. In the process, we use the theory of shift-invariant sub-spaces to bring new insights to the theory of frame multiresolution analysis. In particular, we establish an analogue of the Mallat-Meyer(More)
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