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Theory and Modern Applications

Table 6 Proposed method with Canny using a \(\pmb{9\times9}\) mask size

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

Method

Linear image

Non-linear image

Medical image

MSE

PSNR

MSE

PSNR

MSE

PSNR

CANNY

0.0810

10.9149

0.0762

11.1777

0.1148

9.4000

PRO α = 0.1

0.0142

18.4743

0.0347

14.5988

0.0532

12.7443

PRO α = 0.2

0.0140

18.5449

0.0360

14.4375

0.0543

12.6515

PRO α = 0.3

0.0143

18.4441

0.0368

14.3451

0.0558

12.5306

PRO α = 0.4

0.0146

18.3638

0.0381

14.1945

0.0568

12.4597

PRO α = 0.5

0.0146

18.3684

0.0400

13.9797

0.0588

12.3071

PRO α = 0.6

0.0149

18.2827

0.0417

13.7940

0.0605

12.1796

PRO α = 0.7

0.0193

17.1344

0.0436

13.6057

0.0702

11.5370

PRO α = 0.8

0.0210

16.7856

0.0448

13.4854

0.0724

11.4034

PRO α = 0.9

0.0227

16.4349

0.0462

13.3500

0.0754

11.2258