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Theory and Modern Applications

Table 7 Noise immunity with \(\pmb{3\times3}\) Canny mask at varying standard deviations (Noise SD)

From: A new construction of a fractional derivative mask for image edge analysis based on Riemann-Liouville fractional derivative

Noise type

Noise SD

20

25

30

35

40

45

Motion

Linear image

0.7536

0.7094

0.6124

0.6013

0.5848

0.5910

Non-linear image

0.5785

0.4246

0.3709

0.3618

0.3529

0.3386

Medical image

0.6707

0.4566

0.3815

0.3785

0.3774

0.3681

Gauss

Linear image

0.1081

0.0892

0.0777

0.0655

0.0563

0.0555

Non-linear image

0.0861

0.0650

0.0535

0.0431

0.0375

0.0331

Medical image

0.0426

0.0361

0.0235

0.0208

0.0155

0.0129

S & P

Linear image

0.7103

0.5708

0.4780

0.4003

0.3392

0.2523

Non-linear image

0.6731

0.5846

0.4842

0.4230

0.3655

0.2897

Medical image

0.7241

0.6630

0.5875

0.4919

0.3687

0.3162

Speckle

Linear image

0.2618

0.2416

0.2266

0.2132

0.2021

0.1947

Non-linear image

0.2303

0.1966

0.1641

0.1513

0.1338

0.1147

Medical image

0.5528

0.5280

0.4972

0.4614

0.4571

0.4373