Construction of Regularized Parametric Projection Filters

点击翻译按钮获取中文摘要

Functional Analysis-Theoretical developments of Image Restoration Problems carried on, and many filter-families such as Projection Filter- and Parametric Projection Filter-families were proposed. In practice, since the fidelity of restored images to original images depends on the stability of used restoration filters, it is very important to strengthen their robustness.The study is to introduce a new filter-family that is robust against the perturbation of degraded processes for the parametric projection filter-family with less calculations and high fidelity. In the two-years term of project, we proposed the following three restoration filter-families and confirmed their effectiveness by numerical simulations :Regularized Parametric Projection Filter-Family, M-N-Norm Parametric Projection Filter-Family, and Signal Adaptive Parametric Projection Filter-Family.Moreover, we introduced a criterion to choose perturbation, parametric and regularized parameters. The criterion makes us possible to choose the optimal, parameter of Parametric Projection Filter-family in a sense, and it results in the higher fidelity of restored images.