A simple and flexible modification of Gru¨ nwald– Letnikov fractional derivative in image processing

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Jalalinejad H.; TAVAKOLI A.; Zarmehi f.

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Journal: MATHEMATICAL SCIENCES Year:2018 | Volume:12 | Issue:3 Page(s): 205-210

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Title

A simple and flexible modification of Gru¨ nwald– Letnikov fractional derivative in image processing

Author(s)

Jalalinejad H. | TAVAKOLI A. | Zarmehi f. | Issue Writer Certificate

Keywords

Gru¨

nwald–

Letnikov fractional derivative

Image enhancement

Edge detection

Abstract

In image processing, Edge detection and image enhancement can make use of fractional differentiation operators, especially the Gru¨; nwald–; Letnikov derivative. In this paper, we present a modified Gru¨; nwald–; Letnikov derivative to enhance more and detect better the edges of an image. Our proposed fractional derivative is very flexible and can be easily performed. We present some examples to justify our suggested approach.

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APA: Copy

Jalalinejad, H., TAVAKOLI, A., & Zarmehi, f.. (2018). A simple and flexible modification of Gru¨ nwald– Letnikov fractional derivative in image processing. MATHEMATICAL SCIENCES, 12(3), 205-210. SID. https://sid.ir/paper/322704/en

Vancouver: Copy

Jalalinejad H., TAVAKOLI A., Zarmehi f.. A simple and flexible modification of Gru¨ nwald– Letnikov fractional derivative in image processing. MATHEMATICAL SCIENCES[Internet]. 2018;12(3):205-210. Available from: https://sid.ir/paper/322704/en

IEEE: Copy

H. Jalalinejad, A. TAVAKOLI, and f. Zarmehi, “A simple and flexible modification of Gru¨ nwald– Letnikov fractional derivative in image processing,” MATHEMATICAL SCIENCES, vol. 12, no. 3, pp. 205–210, 2018, [Online]. Available: https://sid.ir/paper/322704/en

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