@inproceedings{fb71d8c29815470e94a3384d3d600b4a,

title = "Regularization and image restoration using differential equations",

abstract = "Linear image restoration is posted as a solution to a set of ordinary differential equations (ODE). Explicit and implicit Euler's methods are used to integrate this set of ODE's. The explicit method introduces a regularization operator to the Van Cittert's method while the implicit method leads to the Tikhonov-Miller restoration. Since both methods are simply numerical integration procedures for the same set of ODE's, the extended Van Cittert's method and the Tikhonov-Miller method are shown to be approximately equivalent in performance if a conversion formula is followed. An analysis of the difference between the restorations by the two methods is included, as well as the ramifications of this conversion formula.",

author = "You, {Yu Li} and M. Kaveh",

year = "1993",

month = jan,

day = "1",

language = "English (US)",

isbn = "0780309464",

series = "Proceedings - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing",

publisher = "Publ by IEEE",

pages = "V--285--V--288",

booktitle = "Image and Multidimensional Signal Processing",

note = "IEEE International Conference on Acoustics, Speech and Signal Processing, Part 5 (of 5) ; Conference date: 27-04-1993 Through 30-04-1993",

}