Improved variational model to remove multiplicative noise based on partial differential equation
Wei Jiang · Journal of Computer Applications · 2012
In this paper,a new variational model based on Partial Differential Equation(PDE) was proposed to solve the ill-posed problems in the data-fidelity item of the existing key variational approaches to remove multiplicative noise with the theories of total variation and logarithmic transformation.The initial boundary value problem of the PDE associated with the new variational problem was derived and discreted numerically.The numerical experimental results show that the values of Mean Square Error(MSE) are decreased and Peak Signal to Noise Ratio(PSNR) are increased obviously.The ill-posed problem in the data-fidelity item is avoided well at the same time.It makes a good method to solve this problem,and avoids the errors which may appear in the discretization process.The quality of the images restored by the proposed method is not only more favorable,but the new model also eliminates the step-casing effect.