Reconstruction algorithm for novel ultrafast magnetic resonance imaging
| Autor: | Frank J. Rybicki, Samuel Patz, Yuly M. Pulyer, Mirko I. Hrovat |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Point spread function
Field (physics) Computer science Reconstruction algorithm Integral transform Electronic Optical and Magnetic Materials Convolution symbols.namesake Fourier transform Computer graphics (images) symbols Computer Vision and Pattern Recognition Electrical and Electronic Engineering Perl Algorithm computer Software Bessel function computer.programming_language |
| Zdroj: | International Journal of Imaging Systems and Technology. 10:209-215 |
| ISSN: | 1098-1098 0899-9457 |
| DOI: | 10.1002/(sici)1098-1098(1999)10:3<209::aid-ima2>3.0.co;2-l |
| Popis: | We introduce a new magnetic field geometry, Bx(x, y) = gyy cos(qxx), to spatially encode magnetic resonance imaging (MRI). The field is called the PERL field since it is PERiodic in x and Linear in y. A technique is proposed to acquire two-dimensional (2D) data without switching the encoding fields. The time-domain PERL signal and image are not related by a two-dimensional Fourier transform (2DFT). They are related by a 1DFT in the x-dimension and a new Bessel function integral transform, called the PERL transform, in the y-dimension. We numerically solve this equation and develop a reconstruction algorithm. The algorithm is evaluated by assuming a known spin density which is then used to calculate the PERL signal. This signal is the input for the algorithm. We show the reconstructed image matches the convolution of the initial assumed spin density and a point spread function (PSF). We identify the PSF and describe the conditions under which it approaches δ. © 1999 John Wiley & Sons, Inc. Int J Imaging Syst Technol 10, 209–215, 1999 |
| Databáze: | OpenAIRE |
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