Title :
Minimization of detail-preserving regularization functional by Newton´s method with continuation
Author :
Chan, Raymond H. ; Ho, Chung-Wa ; Leung, Chun-Yee ; Nikolova, Mila
Author_Institution :
Dept. of Mathematics, Chinese Univ. of Hong Kong, Shatin, China
Abstract :
Recently, a two-phase scheme for removing salt-and-pepper impulse noise has been proposed [R.H. Chan et al], In the first phase, an adaptive median filter is used to identify pixels which are likely to be contaminated by noise (noise candidates). In the second phase, the image is restored by minimizing a specialized regularization functional that applies only to those selected noise candidates. As an extension of this work, we propose an efficient method to accomplish the second phase. The speed of our method can be double as that of the method proposed in [R.H. Chan et al] for images contaminated by 30% salt-and-pepper noise and is faster for higher noise level.
Keywords :
Newton method; adaptive filters; image denoising; median filters; Newton method; adaptive median filter; detail-preserving regularization; image restoration; regularization functional; salt-and-pepper impulse noise removal; two-phase scheme; Adaptive filters; Dynamic range; Image restoration; Information filtering; Information filters; Minimization methods; Noise level; Phase noise; Pixel; Signal to noise ratio; Impulse noise; Newton’s method; adaptive median filter; continuation; edge preserving regularization;
Conference_Titel :
Image Processing, 2005. ICIP 2005. IEEE International Conference on
Print_ISBN :
0-7803-9134-9
DOI :
10.1109/ICIP.2005.1529703