Image Processing Reference
In-Depth Information
p (.)
probability density function
ϕ
phase value
estimator of the phase
ˆ
ϕ
φ
phase variable corresponding to
ϕ
σ
noise standard deviation
σ
2
noise variance
estimate of the noise variance
estimator of the noise variance
ˆ
σ
2
ˆ
σ
2
θ
parameter vector
estimate of
ˆ
θ
estimator of
θ ˆ
θ
θ
θ
τ
vector function of
ˆ
τ
τ
estimator of
ω i,n
imaginary variable corresponding to the observation
ω i,n
ω i,n
imaginary observation (number)
ω i,n
imaginary observation (stochastic variable)
ω r, n
real variable corresponding to the observation
ω r, n
ω r, n
real observation (number)
ω r, n
real observation (stochastic variable)
REFERENCES
1.
Sijbers, J., den Dekker, A.J., Verhoye, M., Van Audekerke, J., and Van Dyck, D.
(1998). Estimation of noise from magnitude MR images. Magn. Reson. Imaging .
16(1): 87-90.
2.
Sijbers, J., den Dekker, A.J., Van der Linden, A., Verhoye, M., and Van Dyck, D.
(1999). Adaptive, anisotropic noise filtering for magnitude MR data. Magn. Reson.
Imaging . 17(10): 1533-1539.
3.
Nowak, R.D. (1999). Wavelet-based Rician noise removal for magnetic resonance
images. IEEE Trans. Image Processing. 10(8): 1408-1419.
4.
Wood, J.C. and Johnson, K.M. (1999). Wavelet packet denoising of magnetic
resonance images: importance of Rician noise at low SNR. Magn. Reson. Med.
41(3): 631-635.
5.
Karlsen, O.T., Verhagen, R., and Bovée, W.M. (1999). Parameter estimation from
Rician-distributed data sets using maximum likelihood estimator: application to
T 1 and perfusion measurements. Magn. Reson. Med. 41: 614-623.
6.
Sijbers, J., den Dekker, A.J., Raman, E., and Van Dyck, D. (1999). Parameter
estimation from magnitude MR images. Intl. J. Imag. Syst. Tech. 10(2): 109-114.
7.
Borgia, G.C., Brown, R.J.S., and Fantazzini, P. (2000). Uniform-penalty inversion
of multiexponential decay data. J. Magn. Reson. 147: 273-285.
8.
van der Weerd, L., Vergeldt, F.J., Jager, P.A., and Van As, H., (2000). Evaluation
of algorithms for analysis of NMR relaxation decay curves. Magn. Reson. Imag-
ing. 18: 1151-1157.
9.
Does, M.D. and Gore, J.C. (2002). Compartmental study of T 1 and T 2 in rat brain
and trigeminal nerve in vivo . Magn. Reson. Med. 47: 274-283.
 
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