✦ LIBER ✦

Wavelet Filtering for Filtered Backprojection in Computed Tomography

✍ Scribed by Shiying Zhao

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 295 KB
Volume: 6
Category: Article
ISSN: 1063-5203
DOI: 10.1006/acha.1998.0260

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we present a characterization of MRA biorthogonal wavelet filters with full frequency supports. Based on this characterization, it is established that wavelet ramp filters are biorthogonal wavelets if the original wavelets are sufficiently regular. An efficient subband coding algorithm is developed for wavelet filtering in filtered backprojection, which is the most popular method in computed tomography (CT). Computer simulation suggests that this wavelet filtering process is a useful tool for improving image quality and reducing computational time in local CT reconstruction.

📜 SIMILAR VOLUMES

Filtered backprojection for thermoacoust

Filtered backprojection for thermoacoustic computed tomography in spherical geometry

✍ M. Haltmeier; T. Schuster; O. Scherzer 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 351 KB

## Abstract Thermoacoustic computed tomography (TCT) is a novel imaging technique for non‐destructive evaluation and medical imaging. It uses electromagnetic energy as input and the induced thermoacoustic pressure field as measurement output. The determination of the unknown energy deposition funct

Minimality of the Data in Wavelet Filter

Minimality of the Data in Wavelet Filters

✍ Palle E.T Jorgensen 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 974 KB

Orthogonal wavelets, or wavelet frames, for L 2 (R) are associated with quadrature mirror filters (QMF), a set of complex numbers which relate the dyadic scaling of functions on R to the Z-translates. In this paper, we show that generically, the data in the QMF-systems of wavelets are minimal, in th

Wavelet filtering for topological decomp

Wavelet filtering for topological decomposition of flow fields

✍ Peter Vorobieff; Donald Rockwell 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 503 KB

The experimental technique of high-image-density particle image velocimetry makes it possible to resolve quantitatively instantaneous, two-dimensional sections of complex fluid flows. Detailed distributions of velocity in the plane of the section and instantaneous out-of-plane vorticity field can be

Wavelet Domain Nonlinear Filtering for E

Wavelet Domain Nonlinear Filtering for Evoked Potential Signal Enhancement

✍ G. Sita; A.G. Ramakrishnan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 422 KB

A wavelet domain nonlinear filtering method for improving the signal-to-noise ratio (SNR) of the evoked potentials (EP) is proposed. The method modifies the selective filtering technique proposed for edge detection in images by Xu et al. for the case of signals which require a smooth transition at t

The use of large scale computer assisted

The use of large scale computer assisted tomography for the study of hydrodynamics in trickling filters

✍ D. Toye; P. Marchot; M. Crine; G. L'Homme 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 693 KB

In this paper, a new experimental technique is proposed, based on X-ray tomography, allowing the analysis of the gas-liquid-solid phase distribution in trickling filters. Tomography refers to the cross-sectional imaging of an object from data collected by illuminating this object from many direction

On a Family of Filters Arising in Wavele

On a Family of Filters Arising in Wavelet Construction

✍ Charles A. Micchelli 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 254 KB

Wavelet reconstruction almost always reduces to the study of certain algebraic identities for polynomials. Typically, one polynomial is chosen and another is found which satisfies an identity appropriate for the desired wavelet construction. In this paper we explore one such equation and give applic