Given that the existing image denoising methods damage the texture details of an image,a new method based on fractional integration is proposed.First,the fractional-order integral formula is deduced by generalizing th...Given that the existing image denoising methods damage the texture details of an image,a new method based on fractional integration is proposed.First,the fractional-order integral formula is deduced by generalizing the Cauchy integral,and then the approximate value of the fractional-order integral operator is estimated by a numerical method.Finally,a fractional-order integral mask operator of any order is constructed in eight pixel directions of the image.Simulation results show that the proposed image denoising method can protect the edge texture information of the image while removing the noise.Moreover,this method can obtain higher image feature values and better image vision after denoising than the existing denoising methods,because a texture protection mechanism is adopted during the iterative processing.展开更多
This article investigates the problem of on line parameter estimation for fractionalorder linear systems.Based on the theory of fractional-order calculus,the conventional gradient estimator is extended to the fraction...This article investigates the problem of on line parameter estimation for fractionalorder linear systems.Based on the theory of fractional-order calculus,the conventional gradient estimator is extended to the fractional-order areas.The stability of the estimator and the convergence are analysed using the continuous frequency distributed model and indirect Lyapunov method.Finally,numerical simulation examples are given to demonstrate the effectiveness of the proposed schemes.展开更多
基金Project supported by the National Natural Science Foundation of China(No.61201438)the Key Project of Education Department of Sichuan Province,China(No.18ZA0235)+1 种基金the Research Fund of Key Laboratory of Internet Natural Language Processing of Sichuan Education Department,China(No.INLP201904)the Research Fund of Leshan Normal University,China(No.LZD003)。
文摘Given that the existing image denoising methods damage the texture details of an image,a new method based on fractional integration is proposed.First,the fractional-order integral formula is deduced by generalizing the Cauchy integral,and then the approximate value of the fractional-order integral operator is estimated by a numerical method.Finally,a fractional-order integral mask operator of any order is constructed in eight pixel directions of the image.Simulation results show that the proposed image denoising method can protect the edge texture information of the image while removing the noise.Moreover,this method can obtain higher image feature values and better image vision after denoising than the existing denoising methods,because a texture protection mechanism is adopted during the iterative processing.
文摘This article investigates the problem of on line parameter estimation for fractionalorder linear systems.Based on the theory of fractional-order calculus,the conventional gradient estimator is extended to the fractional-order areas.The stability of the estimator and the convergence are analysed using the continuous frequency distributed model and indirect Lyapunov method.Finally,numerical simulation examples are given to demonstrate the effectiveness of the proposed schemes.
