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Simple analytic spiral K‐space algorithm
Author(s) -
Glover Gary H.
Publication year - 1999
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/(sici)1522-2594(199908)42:2<412::aid-mrm25>3.0.co;2-u
Subject(s) - spiral (railway) , trajectory , slew rate , algorithm , simple (philosophy) , computer science , space (punctuation) , power (physics) , amplitude , differential equation , mathematics , control theory (sociology) , mathematical analysis , physics , artificial intelligence , optics , philosophy , control (management) , epistemology , quantum mechanics , astronomy , voltage , operating system
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. © 1999 Wiley‐Liss, Inc.