2022
DOI: 10.3390/fractalfract6100579
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A Novel Adaptive Fractional Differential Active Contour Image Segmentation Method

Abstract: When the image is affected by strong noise and uneven intensity, the traditional active contour models often cannot obtain accurate results. In this paper, a novel adaptive fractional differential active contour image segmentation method is proposed to solve the above problem. At first, in order to extract more texture parts of the image, an adaptively fractional order matrix is constructed according to the gradient information of the image, varying the fractional order of each pixel. Then, the traditional edg… Show more

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Cited by 9 publications
(4 citation statements)
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References 40 publications
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“…Research in fractional differential equations spans across multiple disciplines and finds applications in a wide range of fields. These include continuum mechanics fluid mechanics, control systems, circuit systems, heat transfer, elasticity, electric drives, signal analysis, quantum mechanics, biomathematics, biomedicine, and social systems, bioengineering [37,38].…”
Section: An Overview Of the Modified Frpdamentioning
confidence: 99%
“…Research in fractional differential equations spans across multiple disciplines and finds applications in a wide range of fields. These include continuum mechanics fluid mechanics, control systems, circuit systems, heat transfer, elasticity, electric drives, signal analysis, quantum mechanics, biomathematics, biomedicine, and social systems, bioengineering [37,38].…”
Section: An Overview Of the Modified Frpdamentioning
confidence: 99%
“…The region-based model is robust to noise and initial contour position and effectively handles images with weak edges, allowing for accurate and reliable segmentation results. However, it faces challenges with images containing non-uniform gray levels in the target or background areas [13].…”
Section: Active Contour Modelmentioning
confidence: 99%
“…Image processing has been widely adopted in various fields [3][4][5][6][7][8][9][10][11]. In addition, recently, deep learning methods have offered various solutions, and the use of computer vision has grown significantly in various applications including building monitoring, image enhancement, medical image processing, biomedical engineering, and underwater computer vision, where some research has adopted fractal-related perspectives, also in [9][10][11][12][13][14][15][16].…”
Section: Introductionmentioning
confidence: 99%