Color Image Scrambling Technique Based on Transposition of Pixels between RGB Channels Using Knight’s Moving Rules and Digital Chaotic Map

Procedure 2

Extracting features KMR𝑖,𝑗,𝑘_{1≤𝑖≤𝑚1≤𝑗≤𝑚1≤𝑘≤3},RNS𝑖,𝑗,𝑘_{1≤𝑖≤𝑚1≤𝑗≤𝑚1≤𝑘≤3}.

Require:  𝑖,𝑗,𝑘  % current pixel’s (i.e., the one to be moved) coordinates

𝐾_Rule=𝑑𝑒𝑐2𝑏𝑖𝑛(KMR(𝑖,𝑗,𝑘)

𝑅_𝑎=𝐾_Rule (1 : 3); 𝑅_𝑎=𝑏𝑖𝑛2𝑑𝑒𝑐𝑅_𝑎      % compute Knight’s rule 𝑅_𝑎

𝑅_𝑏=𝐾_Rule (5 : 7); 𝑅_𝑏=𝑏𝑖𝑛2𝑑𝑒𝑐𝑅_𝑏       % compute Knight’s rule 𝑅_𝑏

𝑃_𝑦=𝐾_Rule(4); 𝑃_𝑧=𝐾_Rule(8)           % compute 𝑃_𝑦,𝑧 binary variable, used to establish transposition rule

𝑛_𝑎=RNS(𝑖,𝑗,𝑘)                 % number of steps to be applied using rule 𝑅_𝑎

𝑛_𝑏=𝑑𝑒𝑐2𝑏𝑖𝑛𝑛_𝑎

𝑛_𝑏=𝑓𝑙𝑖𝑝𝑙𝑟𝑛_𝑏

𝑛_𝑏=𝑏𝑖𝑛2𝑑𝑒𝑐𝑛_𝑏               % number of steps to be applied using rule 𝑅_𝑏