1 |
B. Desplanques, D. J. Cornelis, E. Achten, R. Van de Walle, and I. Lemahieu, Iterative reconstruction of magnetic resonance images from arbitrary samples in k-space, IEEE Trans. Nuc. Sci. 49 (2002), 2268–2273.
DOI
ScienceOn
|
2 |
C. L. Epstein, Mathematics of Medical Imaging, Prentice-Hall, Englewood Cliffs, NJ, 2003.
|
3 |
J. A. Fessler and B. P. Sutton, Nonuniform Fast Fourier transforms using min-max interpolation, IEEE Trans. Signal Proc. 51 (2003), 560–574.
DOI
ScienceOn
|
4 |
G. Golub and C. F. Van Loan, Matrix Computations, Second ed., The Johns Hopkins University Press, Baltimore, MD, 1989.
|
5 |
C. Ahn, J.H. Kim, Z. Cho, High speed spiral scan echo planar imaging, IEEE Trans. Med. Imaging 5 (1), (1983), 2–5.
|
6 |
J. J. Benedetto and P. Ferreira (Eds), Modern Sampling Theory, Birkhauser Boston, 2000.
|
7 |
H. Choi and D. C. Munson, Analysis and design of minimax-optimal interpolators, IEEE Trans. Signal Processing 46 (1998), 1571–1579.
DOI
ScienceOn
|
8 |
Y. Qian, J. Lin, and D. Jin, Reconstruction of MR Images From Data Acquired on an Arbitrary k-Space Trajectory Using the Same-Image Weight Magnetic Resonance in Medicine, 48 (2002) 306–311.
DOI
ScienceOn
|
9 |
R. Van de Walle, H. H. Barrett, K. J. Meyers, M. I. Altbach, B. Desplanques, A. F. Gmitro, J. Cornelis, and I. Lemahieu, Reconstruction of MR images from data acquired on a general nonregular grid by pseudoinverse calculation, IEEE Trans. Med. Imaging 19 (2000), 1160–1167.
DOI
ScienceOn
|
10 |
C. E. Shannon, Communication in the presence of noise, Proc. Institute of Radio Engineers, 37, (1949), 10–21. Reprint as classic paper in: Proc. IEEE, 86 (1998), no. 2,
|
11 |
H. Sedarat and D. Nishimura, On the optimality of the gridding reconstruction algorithm, IEEE Trans. Med. Imaging, 19 (4), (2000), 306–317.
DOI
ScienceOn
|
12 |
L. Greengard, J.-Y. Lee, and S. Inati, The Fast Sinc Transform And Image Reconstruction From Nonuniform Samples In K-Space, Comm. App. Math. And Comp. Sci. Vol. 1, No. 1, (2006) 121-131.
DOI
|
13 |
T. Knopp, S. Kunis, and D. Potts, A Note on the Iterative MRI Reconstruction from Nonuniform k-Space Data, Int J Biomed Imaging. (2007) doi: 10.1155/2007/24727.
|
14 |
Z.-P. Liang, P. Lauterbur, Principles of Magnetic Resonance Imaging IEEE Press series in biomeical enginering, 1999.
|
15 |
J.-Y. Lee, and L. Greengard, The type 3 Nonuniform FFT and its Applications, J. Comput. Phys., 206 (2005), 1-5.
DOI
ScienceOn
|
16 |
D. Potts, G. Steidl, M. Tasche, Fast Fourier transforms for nonequispaced data: A tutorial, Modern Sampling Theory: Mathematics and Applications, J.J. Benedetto and P. Ferreira (Eds.), Chapter 12, 249–274, Birkhauser Boston, Applied and Numerical Harmonic Analysis Series, (2001).
|
17 |
L. Greengard and J.-Y. Lee, Accelerating the Nonuniform Fast Fourier Transform, SIAM Rev., 46 (2004), 443–454.
DOI
ScienceOn
|
18 |
A. Dutt and V. Rokhlin, Fast Fourier tramsforms for nonequispaced data, SIAM J. Sci. Comput. 14 (1993), 1368–1383.
DOI
ScienceOn
|
19 |
S. Inati, J.-Y. Lee, L. Fleysher, R. Fleysher, and L. Greengard, Fast, optimal weighting for image reconstruction from arbitrary k-space trajectories, Proc Intl Soc Mag Reson Med 13 (2005) p. 2297.
|
20 |
A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging, IEEE Press, 1988: Reprinted by SIAM, 2001.
|