Existence and Uniqueness of Weak Solutions for a New Class of Convex Optimization Problems Related to Image Analysis

Algorithm 1

Proposed image denoising algorithm.

input:.
output:, , .
(1)	Initialize: ;
(2)	;
(3)	;
(4)	;
(5)	;
(6)	;
(7)	;
(8)	While true do
(9)	;
(10)	;
(11)	;
(12)	;
(13)	;
(14)	;
(15)	;
(16)	;
(17)	;
(18)	;
(19)	;
(20)	;
(21)	ifthen
(22)	;
(23)	;
(24)	;
(25)	else
(26)	;
(27)	end
(28)	;
(29)	end