Error bounds in diffusion tensor estimation using multiple-coil acquisition systems
| Autor: | Carlos H. Muravchik, Nicolás von Ellenrieder, Leandro Beltrachini |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Noncentral chi distribution
Biomedical Engineering Biophysics INGENIERÍAS Y TECNOLOGÍAS Signal-To-Noise Ratio Sensitivity and Specificity Noise (electronics) Pattern Recognition Automated Image Interpretation Computer-Assisted Statistics Fractional anisotropy Applied mathematics Radiology Nuclear Medicine and imaging Anisotropy Ingeniería Eléctrica Ingeniería Electrónica e Ingeniería de la Información Mathematics Cramér-Rao Bound Ingeniería de Sistemas y Comunicaciones Scalar (physics) Reproducibility of Results Equipment Design Function (mathematics) Measurement noise Image Enhancement Equipment Failure Analysis Diffusion Tensor Imaging Noncentral Chi distribution Vector field Cramér–Rao bound Algorithms |
| Zdroj: | Magnetic Resonance Imaging. 31:1372-1383 |
| ISSN: | 0730-725X |
| DOI: | 10.1016/j.mri.2013.04.009 |
| Popis: | We extend the diffusion tensor (DT) signal model for multiple-coil acquisition systems. Considering the sum-of-squares reconstruction method, we compute the Cramér–Rao bound (CRB) assuming the widely accepted noncentral chi distribution. Within this framework, we assess the effect of noise in DT estimation and other measures derived from it, as a function of the number of acquisition coils, as well as other system parameters. We show the applications of CRB in many actual problems related to DT estimation: we compare different gradient field setup schemes proposed in the literature and show how the CRB can be used to choose a convenient one; we show that for fiber-type anisotropy tensors the ellipsoidal area ratio (EAR) can be estimated with less error than other scalar factors such as the fractional anisotropy (FA) or the relative anisotropy (RA), and that for this type of anisotropy tensors, increasing the number of coils is equivalent to increasing the signal-to-noise ratio, i.e., the information of the different coils can be regarded as independent. Also, we present results showing the CRB of several parameters for actual DT-MRI data. We conclude that the CRB is a valuable tool to optimal experiment design in DT-related studies. Fil: Beltrachini, Leandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ingeniería. Departamento de Electrotecnia. Laboratorio de Electrónica Industrial, Control e Instrumentación; Argentina Fil: Von Ellenrieder, Nicolás. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ingeniería. Departamento de Electrotecnia. Laboratorio de Electrónica Industrial, Control e Instrumentación; Argentina Fil: Muravchik, Carlos Horacio. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de la Plata. Facultad de Ingeniería. Departamento de Electrotecnia. Laboratorio de Electrónica Industrial, Control e Instrumentación; Argentina |
| Databáze: | OpenAIRE |
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