Unwrapping MR phase maps with Chebyshev moments.
Previous polynomial model based phase unwrapping algorithms relied on least squares fitting to determine the polynomial coefficients. This work presents a phase unwrapping algorithm, based on the method of moments, and calculates the polynomial coefficients using integration. The phase unwrapping algorithm is developed using Chebyshev polynomials. The phase unwrapping algorithm implemented in this work is tested on 2-D phase maps obtained from a 3 Tesla magnetic resonance scanner. In this work, the effectiveness of the phase unwrapping algorithm on MR phase maps is investigated.
Langley
Jason A
JA
Department of Physics and BioImaging Research Center (BIRC), University of Georgia, Athens 30602, USA. impulse@physast.uga.edu
Zhao
Qun
Q
D000465:Algorithms; D003201:Computers; D006801:Humans; D007091:Image Processing, Computer-Assisted; D007368:Interferometry / Q000379:methods*; D008279:Magnetic Resonance Imaging / Q000379:methods*; D008433:Mathematics; D015233:Models, Statistical; D008962:Models, Theoretical; D055095:Optics and Photonics; D019047:Phantoms, Imaging; D012984:Software