Abstract
Required light, thin, short and small prerequisites in mobile phone, it was a very big challenge to achieve the long depth of field to the optical system design. It was a quite brand-new domain to combine digital image processing technology and the optical system design. The main way was to add a filter in optical system's rear end. When the optical system was not the point-to-point image, the image after optical system would turn the blur image, this time the filter could restore the blur image. To the present, the majority of technologies were use single filter to restore single blur image. When the different depth of field objects passed through the optical system, as a result of the defocusing, there was different degree of blur to each image. It was a difficult problem to use the single filter to restore the entire optical system that each kind of blur image which created regarding the different depth of field objects. In this paper, we proposed simulation method, utilized the concept with optimizes, coordinated the theory of singular value decomposition designed a filter that could restore the different blur images that achieved by different depth of field objects passed through the optical system. Finally, we obtained the result, would direct to restore the different blur images. Comparing this filter and the average filter, we would take the root mean square error between the restored image and the object and knew the quality of the restored image has the superiority. In my paper, we would propose that how the singular value decomposition applied in optimization. In the optimized process, the singular value decomposition method might let us reduce the suitable degree the number of variables and such that problem which cannot solve by optimization before, can be solve after.