TY  - BOOK
AU  - Amira Sayed Aboelyazed Tawfek
AU  - Laila Fahmy Abdelal , 
AU  - Naser Hassan Sweilam , 
AU  - Tamer Hashem Farag , 
TI  - Comparative studies and developments of di{uFB00}erent methods for image restoration / 
PY  - 2015///
CY  - Cairo : 
PB  - Amira Sayed Aboelyazed Tawfek , 
KW  - Image degradation
KW  - Image restoration
KW  - Inverse method
N1  - Thesis (M.Sc.) - Cairo University - Faculty of Science - Department of Mathematics; Issued also as CD
N2  - Image restoration refers to the problem of removal or reduction of degradation in blurred noisy image. The image degradation is usually modeled by a linear blur and an additive white noise process. The linear blur involved is always an ill-conditioned which makes image restoration problem an ill-posed problem for which the solutions are unstable. Procedures adopted to stabilize the inversion of ill-posed problem are called regularization, so the se- lection of regularization parameter is very important to the e{uFB00}ect of image restoration. In this thesis, we study some numerical methods for solving this ill-posed problem. Dynamical systems method (DSM), Tikhonov regularization method, L-curve method, and generalized cross validation (GCV) method are introduced for solving this ill-posed problem. Some test examples and comparative studies are presented. From the numerical results, we can con- clude that DSM showed improved restored images compared to L-curve method and GCV method. Parts of this thesis were published in International Journal Mathematical Sciences Letters, 2015 [143]. Also, parts of this thesis were presented in 3rd Inter- national Conference on Mathematics and Information Science (ICMIS 2013), Luxor, Egypt, 28-30 Dec. 2013
UR  - http://172.23.153.220/th.pdf
ER  -