Title :
Total variation image restoration: numerical methods and extensions
Author :
Blomgren, Peter ; Chan, Tony F. ; Mulet, Pep ; Wong, C.K.
Author_Institution :
Dept. of Math., California Univ., Los Angeles, CA, USA
Abstract :
We describe some numerical techniques for the total variation image restoration method, namely a primal-dual linearization for the Euler-Lagrange equations and some preconditioning issues. We also highlight extension of this technique to color images, blind deconvolution and the staircasing effect
Keywords :
deconvolution; image colour analysis; image restoration; iterative methods; linearisation techniques; variational techniques; Euler-Lagrange equations; blind deconvolution; color images; interpolation; iterative solution; numerical methods; preconditioning; primal-dual Newton linearization technique; primal-dual linearization; staircasing effect; total variation image restoration; variational formulation; Color; Convolution; Image restoration; Lagrangian functions; Least squares methods; Mathematics; Nonlinear equations; TV; Transforms; Vision defects;
Conference_Titel :
Image Processing, 1997. Proceedings., International Conference on
Conference_Location :
Santa Barbara, CA
Print_ISBN :
0-8186-8183-7
DOI :
10.1109/ICIP.1997.632128