Junxie Chen, Yipeng Liao. Edge Detection of Noisy Images in NSCT Domain Based on Fractional Differentiation[J]. Laser & Optoelectronics Progress, 2021, 58(8): 0810021
- Laser & Optoelectronics Progress
- Vol. 58, Issue 8, 0810021 (2021)
Fig. 1. Tiansi operator
Fig. 2. Decomposing process of NSCT
Fig. 3. Flow chart of the proposed method
Fig. 4. Original images for experiment. (a) Lena; (b) cartoon image
Fig. 5. Edge detection results of Lena image. (a) Low frequency; (b) high frequency scale 1; (c) high frequency scale 2; (d) high frequency; (e) fusion result
Fig. 6. Edge detection results of cartoon image. (a) Low frequency; (b) high frequency scale 1; (c) high frequency scale 2; (d) high frequency; (e) fusion result
Fig. 7. Edge extraction results of Lena image. (a) Original image; (b) image with 10% noise; (c) extraction result with 10% noise; (d) image with 50% noise; (e) extraction result with 50% noise
Fig. 8. Edge extraction results of medical image 1. (a) Original image; (b) image with 10% noise; (c) extraction result with 10% noise; (d) image with 50% noise; (e) extraction result with 50% noise
Fig. 9. Edge extraction results of medical image 2. (a) Original image; (b) image with 10% noise; (c) extraction result with 10% noise; (d) image with 50% noise; (e) extraction result with 50% noise
Fig. 10. Extracted results of methods for Lena image. (a) Canny; (b) method in Ref. [7]; (c) method in Ref. [15]; (d) method in Ref. [20]; (e) proposed method
Fig. 11. Extracted results of methods for cartoon image. (a) Canny; (b) method in Ref. [7]; (c) method in Ref. [15]; (d) method in Ref. [20]; (e) proposed method
Fig. 12. Processing results of different methods for noisy Lena image. (a) Method in Ref. [7]; (b) method in Ref. [15]; (c) method in Ref. [16]; (d) method in Ref. [20]; (e) proposed method
Fig. 13. Processing results of different methods for noisy medical image 1. (a) Method in Ref. [7]; (b) method in Ref. [15]; (c) method in Ref. [16]; (d) method in Ref. [20]; (e) proposed method
Fig. 14. Processing results of different methods for noisy medical image 2. (a) Method in Ref. [7]; (b) method in Ref. [15]; (c) method in Ref. [16]; (d) method in Ref. [20]; (e) proposed method
Fig. 15. Comparison of results of different methods for different noise. (a) Lena image; (b) medical image 1; (c) medical image 2
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Table 1. Comparison of extracted results of Lena image by different methods
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Table 2. Comparison of extracted results for cartoon image by different methods
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