C.B. SHAW, Jr. Improvement of the resolution of an instrument by numerical solution of an integral equation. J. Math. Anal. Appl., 37:83--112, 1972. Home/Search Document Not in Database Summary Related Articles Check |
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Lanczos-Based Exponential Filtering for Discrete Ill-Posed.. - Calvetti, Reichel (2002) (1 citation) (Correct)
....the same eigenvalues as the matrix in Example 5.1, but has a di#erent eigenvector matrix. Thus, let # 300 be defined by (60) and let U 300 be the orthogonal eigenvector matrix of a symmetric 300 matrix determined by discretizing a Fredholm integral equation of the first kind discussed by Shaw [18]. The discretization was carried out using Matlab code provided by Hansen [13] The eigenvectors u j have the property that the number of sign changes in the sequence j=1 increases with the index k. We define A : U 300 # 300 U # 300 . Let the vector x # be the same as in Example 5.1 and ....
C. B. Shaw, Jr., Improvements of the resolution of an instrument by numerical solution of an integral equation, J. Math. Anal. Appl., 37 (1972), pp. 83--112.
Parallel Image Restoration with Domain Decomposition - Piccolomini, Zama (Correct)
....0 k 2 [1; 2] k; if sin(x y) 0 (10) 4 or: oe(x; y) k(x y) k 2 [0:01; 0:05] 11) In the following, we ll call PSF1 (9) 10) and PSF2 (9) 11) The magnitude of k determines the extent of blur in the image. Another form for the PSF, cited in literature for problems of image restoration [14] is the following (PSF3) h(x; y; j) 8 : x r1 sin a Gamma y r 1 j r 2 Delta r2 a Gamma y r 1 j r 2 Delta 2 ; if ( x Gamma ) 2 (y Gamma j) 2 ) 1=2 K 0; otherwise (12) Analyzing equation (2) it is clear that each object point j contributes ....
C.B. Shaw Jr. Improvement of the resolution of an instrument by numerical solution of an integral equation. Journal of Mathematical Analyisis and Applications, 37, 1972.
Regularization Using a - Parameterized Trust Region (Correct)
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C.B. SHAW, Jr. Improvement of the resolution of an instrument by numerical solution of an integral equation. J. Math. Anal. Appl., 37:83--112, 1972.
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