By Peter W. Hawkes

ISBN-10: 0123739071

ISBN-13: 9780123739070

Advances in Imaging and Electron Physics merges long-running serials-Advances in Electronics and Electron Physics and Advances in Optical and Electron Microscopy. The sequence positive aspects prolonged articles at the physics of electron units (especially semiconductor devices), particle optics at low and high energies, microlithography, photo technology and electronic photograph processing, electromagnetic wave propagation, electron microscopy, and the computing tools utilized in these types of domain names.

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**Extra resources for Advances in Imaging and Electron Physics, Vol. 145**

**Sample text**

52) and the observation model Eq. , 1995). The forward sweep recursively computes the predictor estimate (Ψi+1|i ) and the filter estimate (Ψi+1|i+1 ) using the KBF: (a) Predictor update. Ψi+1|i = Γ Ψi|i with Ψ1|0 = 0. (57) (b) Filter update. Ψi+1|i+1 = Ψi+1|i + K(Zi+1 − GΨi+1|i ), (58) for 1 i (NI − 1). It may be noted that the Kalman gain K and the filter covariance matrix Pi+1|i+1 can be expressed in terms of the steady-state value of the predictor covariance matrix using Eqs. (55) and (56) with Pi+1|i = P (p) .

We compare our RTS-based noncausal algorithm with the following restoration techniques: (a) Wiener filter. Using the orthogonality principle, the transfer function W (f1 , f2 ) of the Wiener filter is W (f1 , f2 ) = G∗ (f1 , f2 )Sxx (f1 , f2 ) , |G(f1 , f2 )|2 Sxx (f1 , f2 ) + Svv (f1 , f2 ) (62) where Sxx (f1 , f2 ) and Svv (f1 , f2 ) are the power spectral densities (PSD) of the original image and additive noise in terms of the horizontal frequency f1 and vertical frequency f2 . The term G(f1 , f2 ) is the 2D Fourier transform of the PSF g(i, j ) as defined in Eq.

Repeat step 1 for sub-blocks (L(N ℓ1 ℓ2 ) (ℓ1 − ℓ2 1 ℓ2 3), for row (NI − 1 ℓ1 1), using Eqs. (71) and (72) until the ℓ1 sub-blocks converge. For real video sequences, we observed convergence within (ℓ1 < 20) iterations. Frame (k 2): 3. Steps 1 and 2 are repeated for each of the following frames ((NK − 1) k 1) until the sub-blocks L(k) 3), and Fℓ(k) (ℓ2 − ℓ1 3) ℓ1 ℓ2 (ℓ1 − ℓ2 1 ℓ2 ℓ1 1), converge with respect to k. Convergence of ((NI − 1) (k) (k) {Lℓ1 ℓ2 , Fℓ1 ℓ2 } was observed within (k < 15) iterations.

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