Title :
Sampling on concentric circles [MRI image reconstruction application]
Author :
Myridis, Nikolaos E. ; Chamzas, Christodoulos
Author_Institution :
Dept. of Electr. Eng., Democritus Univ. of Thrace, Xanthi, Greece
fDate :
4/1/1998 12:00:00 AM
Abstract :
Two forms of a sampling theorem for concentric circles are established for a bandlimited two-dimensional (2-D) function. The location of the samples is prescribed either on equidistant circles or on the roots of the Bessel function J 0(). Both methods give comparable results, however, the number of samples required for their numerical evaluation is significantly less for the root-sampling formulation.
Keywords :
Bessel functions; biomedical NMR; image reconstruction; interpolation; medical image processing; Bessel function; MRI image reconstruction; bandlimited two-dimensional function; concentric circles; magnetic resonance imaging; medical diagnostic imaging; numerical evaluation; root-sampling formulation; sampling theorem; Astronomy; Biomedical imaging; Geometry; Image reconstruction; Interpolation; Magnetic resonance imaging; Optical imaging; Sampling methods; Signal sampling; Two dimensional displays; Algorithms; Artifacts; Computer Simulation; Fourier Analysis; Humans; Image Processing, Computer-Assisted; Magnetic Resonance Imaging; Models, Theoretical;
Journal_Title :
Medical Imaging, IEEE Transactions on
