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. Author manuscript; available in PMC: 2013 Aug 21.
Published in final edited form as: Phys Med Biol. 2012 Jul 31;57(16):5245–5273. doi: 10.1088/0031-9155/57/16/5245

Table A.

Optimization programs, constraint programs, and iterative algorithms

# Optimization Program Constraint Program Iterative Algorithm
1 f* = argmin D(f) s.t. fj ≥ 0 D(f) ≤ ε and fj 0 P-POCS
2 f* = argmin D(f) s.t. fj ≥ 0 and ∥f0 ≤ s D(f) ≤ ε, and fj ≥ 0, ∥f∥0 ≤ s IT-P-POCS
3 f*= argmin∥fTV s.t. D(f) ≤ ε and fj ≥ 0 D(f) ≤ ε, ∥fTVt0, fj ≥ 0, and cα(f) ≤ γ ASD-POCS
4 f*=argmin∥fTV s.t. D(f)≤ε, fj ≥0, and ∥f∥0≤s D(f)≤ε, ∥fTVt0, fj ≥0, ∥f0≤s, and cα(f)≤ γ IT-ASD-POCS