. Author manuscript; available in PMC: 2018 Apr 21.

Published in final edited form as: Phys Med Biol. 2017 Apr 21;62(8):3284–3298. doi: 10.1088/1361-6560/aa6392

Algorithm 1.

TV Denoising Update Equations

1:	Initialize: σ_kτ_k = 1/12
2:	repeat
3:	Z⁽^k⁺¹⁾ = Π_𝒦 (Z⁽^k⁾ + σ_kJ ū⁽^k⁾)
4:	u⁽^k⁺¹⁾ = (λu⁽^k⁾ + τ_kg + λτkDiv Z⁽^k⁺¹⁾)/(λ + τ_k)
5:	$θ_{k} = \sqrt{λ / (λ + 2 τ_{k})}$ , τ_k = θ_kτ_k, σ_k = σ_k/θ_k
6:	ū(^k⁺¹⁾ = u⁽^k⁺¹⁾ + θ_k (u⁽^k⁺¹⁾ − u⁽^k⁾)
7:	until ▷ stop when convergence criteria met