Anti-reflective boundary conditions and re-blurring

Inverse Problems

Volumn 21, Issue 1, 2005, Pages 169-182

  Donatelli, M ^a   Serra Capizzano, S ^a  

^a UNIVERSITY OF INSUBRIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; FAST FOURIER TRANSFORMS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL OPERATORS; MICROSCOPIC EXAMINATION; OPTICAL TRANSFER FUNCTION;

ANTI-REFLECTIVE BOUNDARY CONDITIONS; DE-BLURRING ALGORITHMS; RE-BLURRING; TIKHONOV TECHNIQUE;

IMAGE ANALYSIS;

EID: 13744259707     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/21/1/011     Document Type: Article

References (17)

1. Arico' A, Donatelli M and Serra-Capizzano S 2004 V-cycle optimal convergence for certain (multilevel) structured linear systems SIAM J. Matrix Anal. Appl. 26 (1) 186-214
2. Bertero M and Boccacci P 1998 Introduction to Inverse Problems in Imaging (Bristol: Institute of Physics Publishing)
3. Bini D and Capovani M 1983 Spectral and computational properties of band symmetric Toeplitz matrices Linear Algebr. Appl. 52/53 99-125
4. Chan R H and Ng M 1996 Conjugate gradient methods for Toeplitz systems SIAM Rev. 38 427-82
5. Donatelli M, Estatico C, Nagy J, Perrone L and Serra Capizzano S 2003 Anti-reflective boundary conditions and fast 2D deblurring models Proc. SPIE's 48th Annual Meeting (San Diego, CA) ed F Lu vol 5205 pp 380-9
6. Donatelli M, Estatico C and Serra-Capizzano S 2004 Regularization of image restoration problems and anti-reflective boundary conditions SIAM J. Sci. Comp., submitted
7. Donatelli M and Serra Capizzano S 2004 On the regularizing power of multigrid-type algorithms SIAM J. Sci. Comp., submitted
8. Engl H, Hanke M and Neubauer A 1996 Regularization of Inverse Problems (Dordrecht: Kluwer)
9. Golub G and Van Loan C 1983 Matrix Computations (Baltimore, MD: The Johns Hopkins University Press)
10. Hanke M, Nagy J and Plemmons R 1993 Preconditioned iterative regularization for ill-posed problems Numerical Linear Algebra (Kent, OH, 1992) (Berlin: de Gruyter) pp 141-63
11. Kunisch K and Zou J 1998 Iterative choices of regularization parameters in linear inverse problems Inverse Problems 14 1247-64
12. Mallat S 1999 A Wavelet Tour of Signal Processing (New York: Academic)
13. Ng M, Chan R and Tang W C 1999 A fast algorithm for deblurring models with Neumann boundary conditions SIAM J. Sci. Comput. 21 851-66
14. Rao K and Yip P 1990 Discrete Cosine Transform: Algorithms, Advantages, Applications (New York: Academic)
15. Serra-Capizzano S 2003 A note on anti-reflective boundary conditions and fast deblurring models SIAM J. Sci. Comput. 25 (3) 1307-25
16. Stoer J and Bulirsh R 2002 Introduction to Numerical Analysis (Appl. Math. vol 12) 3rd edn (New York: Springer)
17. Xie J and Zou J 2002 An improved model function method for choosing regularization parameters in linear inverse problems Inverse Problems 18 631-43