Key result
A closed-form approximate solution for interleaved Archimedian spiral trajectories closely matches the exact design, incorporating both slew rate-limited and amplitude-limited regimes.
Provides a computationally efficient closed-form approximate solution for spiral k-space trajectories in MRI, facilitating real-time prescription on scanners with limited computational power.
Enables real-time spiral trajectory prescription on resource-limited scanners; leaves open clinical validation in cardiovascular MRI.
The exact, hardware-constrained design of a spiral k-space trajectory requires the solution of a differential equation, thereby making real-time prescription difficult on scanners with limited computational power. This study describes a closed-form approximate solution for interleaved Archimedian spiral trajectories that closely matches the exact design. Both slew rate-limited and amplitude-limited regimes are incorporated. Magn Reson Med 42:412-415, 1999.
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Gary H. Glover (1999) studied this question. Closed-form approximate solution for interleaved Archimedian spiral trajectories vs. Exact design was evaluated. A closed-form approximate solution for interleaved Archimedian spiral trajectories closely matches the exact design, incorporating both slew rate-limited and amplitude-limited regimes.
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