2021
DOI: 10.1155/2021/8864906
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A Nonlinear Gradient Domain‐Guided Filter Optimized by Fractional‐Order Gradient Descent with Momentum RBF Neural Network for Ship Image Dehazing

Abstract: To avoid the blurred edges, noise, and halos caused by guided image filtering algorithm, this paper proposed a nonlinear gradient domain-guided image filtering algorithm for image dehazing. To dynamically adjust the edge preservation and smoothness of dehazed images, this paper proposed a fractional-order gradient descent with momentum RBF neural network to optimize the nonlinear gradient domain-guided filtering (NGDGIF-FOGDMRBF). Its convergence is proved. In order to speed up the convergence process, an adap… Show more

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Cited by 5 publications
(6 citation statements)
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“…Initially, the global sparse disintegration has been utilized in order to preeliminate a portion of the surface to improve the performance of smoothing. Similarly, Fang and Han [ 5 ] proposed a nonlinear incline field-guided image enhancement technique where they proved optimal value as a model factor. Moreover, the fractional order calculus is utilized to gradient ancestry along with the impetus technique in order to train the neural network.…”
Section: Introductionmentioning
confidence: 99%
“…Initially, the global sparse disintegration has been utilized in order to preeliminate a portion of the surface to improve the performance of smoothing. Similarly, Fang and Han [ 5 ] proposed a nonlinear incline field-guided image enhancement technique where they proved optimal value as a model factor. Moreover, the fractional order calculus is utilized to gradient ancestry along with the impetus technique in order to train the neural network.…”
Section: Introductionmentioning
confidence: 99%
“…where Γ is the Gamma function and h is the incremental step size. Expressing (21) in discrete-time representation with sampling period T…”
Section: Fractional Order Swarm Optimizationmentioning
confidence: 99%
“…Fractional calculus operators are also exploited to design novel recursive/adaptive algorithms as well as evolutionary/swarm computation heuristics for different optimization tasks involved in engineering and science applications. For example, fractional gradient descent/fractional least mean square algorithm was proposed for various applications including recommender systems [10], channel estimation [11], automatic identification system [12], power system optimization [13], economics [14], radar signal processing [15], system identification [16,17], Hammerstein output error identification [18], wireless sensor network [19], neural network optimization [20][21][22][23][24], chaotic time-series prediction [25,26], oscillator [27], vibration rejection [28], nonlinear AR-MAX identification [29] and parameter estimation of input nonlinear control autoregressive (IN-CAR) systems [29,30].…”
Section: Introduction 1literature Reviewmentioning
confidence: 99%
“…( 2) ensures the consistency of the output image to the original image structure, and the regular term plays a constraint role, such as reducing artifacts. Some variants of GIF [10][11][12][13][14][15][16][17][18][19][20] have been proposed to improve the performance of GIF. For example, the weighted aggregate guided image filtering (WAGIF) [13] adopted exponential weighting on the data fidelity term to preserve the edge and remove noise, but still cannot avoid color diffusion and halo artifacts; The weighted guided image filtering (WGIF) [10] and gradient domain guided image filtering (GDGIF) [11] use local variance and gradient to adjust the regularization parameter  to reduce halo artifacts and noise.…”
Section: Related Workmentioning
confidence: 99%
“…But these methods have limited suppression of halo artifacts at discontinuous details and are prone to color diffusion. The work in [10,11,[18][19][20] aimed to suppress halo artifacts at sharp details by adjusting the regularization parameter with local variance [10,18,19] or gradient [11,20] of the image. These methods favor the first-order derivatives of the images to achieve good capabilities of edge preserving and artifact suppression, but they are not suitable to preserve the complex geometrical structures of the images such as corners and blob-like structures [21].…”
Section: Introductionmentioning
confidence: 99%