Method for deblurring an image

A method of deblurring an observed image acquired by optical acquisition means (20) so as to determine an observable image corresponding to the deblurred observed image, said observable image and said observed image each being constituted as a set of pixels defined by at least one numerical value, wherein the method comprises implementing by data processing means (11) the steps of:

• (a) expressing the observable image as a solution minimizing a Tikhonov functional defined by the observed image, a spreading function at the point of the optical acquisition means (20) and a wavelet transform operator, said Tikhonov functional being expressed as
• arg
• ⁢
• ⁢
• min
• u
• ∈
• ℛ
• n
• ⁢
• {
• λ
• 2
• ⁢
• 
• Hu
• -
• g
• 
• 2
• 2
• +
• 
• Wu
• 
• 1
• }
• a sum of a first term ||Hu-g||22 in L2 standard and a second regularization term ||Wu ||1 in L1 standard, where u is unknown, g is the observed image, H is the spreading function of the point of the optical acquisition means (20) and W is the wavelet transform operator;
• (b) determining said observable image by implementing an iterative projection algorithm released on a closed convex, comprising, at each iteration, a successive application of a projection operator associated with each of said terms of the Tikhonov functional.