Study on the Numerical Computation Method for Inverse Problems and Its Application in Image Processing

Considering most inverse problems cannot be solved analytically, numerical solution approaches is of great importance to solve inverse problems. This paper focuses on the problem of developing numerical computation method for inverse problems, and then utilizes the proposed method to implement an effective image interpolation. Particularly, a linear minimum mean square error based method is proposed, and using this definition, the observation model is given to map the low-resolution images to the high-resolution images by an optimization process. Finally, to evaluate the effectiveness of our proposed approach, PSNR and PQS are used as evaluation criterions. For the experimental results, it can be seen that the proposed method can effectively solve the image interpolation, and the image interpolation results by our method is more close to the original images.