## Abstract Spiral, radial, and other nonrectilinear __k‐__space trajectories are an area of active research in MRI due largely to their typically rapid acquisition times and benign artifact patterns. Trajectory design has commonly proceeded from a description of a simple shape to an investigation
Design of a logarithmic k-space spiral trajectory
✍ Scribed by Harvey E. Cline; Xuli Zong; Neville Gai
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 247 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0740-3194
- DOI
- 10.1002/mrm.1309
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
Spiral acquisitions are used in fast cardiac imaging because they traverse k‐space efficiently and minimize flow artifacts. A variable pitch logarithmic spiral trajectory is designed to critically sample the low‐frequency region in k‐space and gradually undersample the high‐frequency region. An approximate analytical expression for the trajectory provides a fast means to calculate the gradient waveforms and the sampled data points. A numerical method is introduced based on the trajectory curvature and the rate of change in the gradient magnitude with time for the composite Archimedean‐logarithmic trajectory. The pulse sequence is implemented and images are acquired on phantoms and human hearts. The images show improved image resolution and some improvement in image quality as a result of increased extent in k‐space and reduction in aliasing artifacts, respectively. Magn Reson Med 46:1130–1135, 2001. © 2001 Wiley‐Liss, Inc.
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