Nonnegative Mixed-Norm Convex Optimization for Mitotic Cell Detection in Phase Contrast Microscopy

Algorithm 2

Dictionary updating algorithm.

   Input:  Φ={𝜙_𝑖}^𝑀_𝑖=1∈𝑅^𝑑×𝑀,𝐴={𝑎_𝑖}^𝑀_𝑖=1∈𝑅^𝑀×𝑀,𝐵={𝑏_𝑖}^𝑀_𝑖=1∈𝑅^𝑑×𝑀, maximum iteration 𝑇_max

(1) // main loop

(2) Repeat

(3)𝐟𝐨𝐫𝑡←1,…,𝑇_max𝐝𝐨

(4)  Update the 𝑗th column for Φ:

(5)     𝑢_𝑗⟵1𝐴𝑏𝑗,𝑗^𝑗−Φ𝑎_𝑗+𝜙_𝑗,

(6)     𝜙_𝑗⟵1max𝑢_𝑗2𝑢,1^𝑗

(7) Until convergence

(8) Return Φ^𝑇max.