Modified Bézier Curves with Shape-Preserving Characteristics Using Differential Evolution Optimization Algorithm

Table 3

Table for test function, 𝑓₃.

𝑖	𝑥𝑖	𝑦𝑖	𝑦𝑏𝑖	y𝑚𝑖	𝜁𝑖	Performance
0	0	0	0	0	−2.2409
1	0.7854	0.7071	0.5135	0.6729	1.0097
2	1.5708	1.0000	0.6263	0.9517	1.5724	𝜀𝑏𝑐=1.9505
3	2.3562	0.7071	0.4047	0.6647	2.1276	𝜀𝑚𝑐=0.0105
4	3.1416	0.0000	0.0040	0.0066	−2.6606	𝜀𝑏𝑠=2.7549
5	3.9270	−0.7071	−0.4047	−0.6648	2.1291	𝜀𝑚𝑠=0.5728
6	4.7124	−1.0000	−0.6263	−0.9514	1.5718	𝑓cost,𝑏=2.2260
7	5.4978	−0.7071	−0.5135	−0.6724	1.0081	𝑓cost,𝑚=0.0678
8	6.2832	−0.0000	−0.0000	−0.0000	1.5754