Algorithm 2.

Chambolle-Pock weighted image denoising [30]

1:	input d and w from EM step
2:	initialize u = ū = d, q
3:	initialize γ = min(w), τ = 1/γ, σ = 1/(τL2)
4:	for l = 1… nd do
5:	q+ = proxσ,R* (q + σ∇ū)
6:	u+ = proju≥0 ((u + τ (divq+ + wd))/(1 + τw))
7:	$\vartheta =1/\sqrt{1+2\gamma \tau }$, τ ← τϑ, σ ← σ/ϑ
8:	ū+ = u+ + θ(u+ − u)
9:	u = u+, ū = ū+, q = q+
10:	end for
11:	return u