Automatic Circle Detection on Images Based on an Evolutionary Algorithm That Reduces the Number of Function Evaluations

Algorithm 6

Computational procedure of APRE.

(1)    Input: 𝑁_𝑝,𝑁⁰_𝑒,MR,CH and max𝑘 (where max𝑘 is the maximum number of iterations).

(2)    𝐌(1)← InitializeM(𝑁_𝑝)

(3)    𝑐₁,…,𝑐_𝑁𝑝← ClearCounters()

(4)   for 𝑘=1 to max𝑘 do

(5)    Algorithm 1

(6)    Algorithm 2

(7)    Algorithm 3

(8)    Algorithm 4

(9)    𝐌(𝑘+1)← UpdateM(𝐌(𝑘))

(10)   𝑐₁,…,𝑐_𝑁𝑝← UpdateCounters(𝑐₁,…,𝑐_𝑁𝑝)

(11)    𝐐← CalculateQualityFactor(M(k))

(12)   Algorithm 5

(13)   end for

(14)   Solution ← FindBestElement(M(k))

(15)   Output: Solution