Fractional Order Sobel Edge Detector

Yaacoub, Charles; Daou, Roy Abi Zeid

doi:10.1109/ipta.2019.8936101

Cited by 12 publications

(10 citation statements)

References 22 publications

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“…Fractional grey-scale: Following the same line of thought, Yaacoub [2] presented a fractional Sobel operator.…”

Section: Sobel Edge Detectormentioning

confidence: 99%

“…The Grünwald-Letnikov (GL) derivative is a generalization of the derivative in (2). The idea behind it is that h should approach 0 as n approaches infinity.…”

Section: Grünwald-letnikov Definitionmentioning

confidence: 99%

“…Conventional edge detectors are based on integer derivatives. With the introduction of fractional calculus, some new non-integer edge detectors were created [1] and the existent integer ones adapted [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

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Fractional-Order Colour Image Processing

et al. 2021

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Many image processing algorithms make use of derivatives. In such cases, fractional derivatives allow an extra degree of freedom, which can be used to obtain better results in applications such as edge detection. Published literature concentrates on grey-scale images; in this paper, algorithms of six fractional detectors for colour images are implemented, and their performance is illustrated. The algorithms are: Canny, Sobel, Roberts, Laplacian of Gaussian, CRONE, and fractional derivative.

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“…Fractional grey-scale: Following the same line of thought, Yaacoub [2] presented a fractional Sobel operator.…”

Section: Sobel Edge Detectormentioning

confidence: 99%

“…The Grünwald-Letnikov (GL) derivative is a generalization of the derivative in (2). The idea behind it is that h should approach 0 as n approaches infinity.…”

Section: Grünwald-letnikov Definitionmentioning

confidence: 99%

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Fractional-Order Colour Image Processing

et al. 2021

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“…Their application to image processing began in 2002 with the CRONE method [10]. Since then, a few already extant image treatment methods have been adapted to include fractional derivatives (instead of usual, integer order derivatives), such as the fractional Roberts operator [11], the fractional Sobel method [12,13], the fractional Canny method [6], or the fractional Laplacian of Gaussian method [14]. These methods will be addressed below in Section 2 and details can be found in [5].…”

Section: Previous Work On Fractional Image Processingmentioning

confidence: 99%

“…. 2021, 1, 1 2 of 20 derivatives (instead of usual, integer order derivatives), such as the fractional Roberts operator [11], the fractional Sobel method [12,13], the fractional Canny method [6], or the fractional Laplacian of Gaussian method [14]. These methods will be addressed below in section 2 and details can be found in [5].…”

Section: Satellite Image Datamentioning

confidence: 99%

Fractional Order Processing of Satellite Images

2021

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Nowadays, satellite images are used in many applications, and their automatic processing is vital. Conventional integer grey-scale edge detection algorithms are often used for this. This study shows that the use of color-based, fractional order edge detection may enhance the results obtained using conventional techniques in satellite images. It also shows that it is possible to find a fixed set of parameters, allowing automatic detection while maintaining high performance.

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