Devil’s Vortex Phase Structure as Frequency Plane Mask for Image Encryption Using the Fractional Mellin Transform

Table 1

Values of 𝑞_𝑠,𝑙 and 𝑝_𝑠,𝑙+1 for S = 0, 1, 2, and 3 [15].

S. Number	Values of 𝑆	𝑞𝑠,𝑙 and 𝑝𝑠,𝑙+1	Values of 𝑞𝑠,𝑙 and 𝑝𝑠,𝑙+1
1.	𝑆=0	𝑞0,0  𝑝0,1	0, 1
2.	𝑆=1	𝑞1,0  𝑝1,1  𝑞1,1  𝑝1,2	0, 1/3, 2/3, 1
3.	𝑆=2	𝑞2,0, 𝑝2,1, 𝑞2,1, 𝑝2,2  𝑞2,2  𝑝2,3  𝑞2,3  𝑝2,4	0, 1/9, 2/9, 1/3, 2/3, 7/9, 8/9, 1
4.	𝑆=3	𝑞3,0, 𝑝3,1, 𝑞3,1, 𝑝3,2 𝑞3,2 𝑝3,3  𝑞3,3  𝑝3,4, 𝑞3,4  𝑝3,5, 𝑞3,5  𝑝3,6, 𝑞3,6  𝑝3,7, 𝑞3,7  𝑝3,8	0, 1/27, 2/27, 3/27, 6/27, 7/27, 8/27, 9/27, 18/27, 19/27, 20/27, 21/27, 24/27, 25/27, 26/27, 1