Research on Coal-Rock Fracture Image Edge Detection Based on Tikhonov Regularization and Fractional Order Differential Operator

Table 1

Localization errors of fractional Sobel detection.

Order	Missed detection rate	False detection rate
0.1	0.3574	0.6481
0.2	0.3315	0.6328
0.3	0.3104	0.6266
0.4	0.3098	0.6099
0.5	0.3032	0.6057
0.6	0.3001	0.6009
0.7	0.3256	0.6233
0.8	0.3463	0.6446
0.9	0.3519	0.6499