单CCD偏振相机图像重建中的连分式方法研究

For repairing the scarcity of single CCD polarizer camera image information caused by polarizer CCD chips integrated process, high precision image information rebuiding method desperately needs to be carried out. In view of the fast convergence and good accuracy possessed by continued fraction rational interpolation method,this project focuses on high precision single CCD polarizer camera image rebuilding method based on continued fraction rational interpolation.Project first establishes mathematical model of high precision continued fraction rational interpolation, then realizes single CCD polarizer camera image information rebuilding algorithms based on different continued fraction rational interpolation forms,further carries out sensitivity experiment on rebuilding algorithms and builds up the algorithm evaluation system based on optics imaging mechanism,finally designs a single CCD polarizer camera support software prototype based on continued fraction rational interpolation method.This project will not only enlarge the fundamental theory of continued fraction rational interpolation method,efficently solve the image imformation absence problem，improve the evaluation system of image processing algorithms based on continued fraction rational interpolation method,but also, to some extent, strengthen the intercrossing of continued fraction theory and optical imaging technology,drive miniature，lightening process of the single CCD polarizer camera.

为了修复偏振CCD芯片集成化工艺带来的单CCD偏振相机图像信息缺失，需要研究高精度的图像信息重建方法。鉴于连续分式有理插值方法具有精度高、收敛快的特点，课题拟研究基于连续分式有理插值方法的高精度单CCD偏振相机图像信息重建方法。课题首先建立高精度连续分式有理插值数学模型；之后实现不同连续分式有理插值形式下的单CCD偏振相机图像信息重建算法；随后对信息重建算法进行敏感性实验,结合光学成像机理建立算法评价体系；最终构建基于连续分式有理插值的单CCD偏振相机的支撑软件原型。此项目不仅可以进一步扩展连续分式有理插值基础理论，有效解决图像信息缺失问题，完善基于连续分式有理插值方法的图像处理算法评估体系，还可以在一定程度上加强连分式理论与光学成像技术的交叉融合，加快偏振相机小型化、轻量化进程。

为了修复偏振CCD芯片集成化工艺带来的单CCD偏振相机图像信息缺失，需要研究高 精度的图像信息重建方法。鉴于连续分式有理插值方法具有精度高、收敛快的特点，课 题拟研究基于连续分式有理插值方法的高精度单CCD偏振相机图像信息重建方法。课题首 先建立高精度连续分式有理插值数学模型；之后实现不同连续分式有理插值形式下的单CCD偏振相机图像信息重建算法；随后对信息重建算法进行敏感性实验,结合光学成像机理建立算法评价体系；最终构建基于连续分式有理插值的单CCD偏振相机的支撑软件原型。 此项目扩展了连续分式有理插值基础理论，有效解决图像信息重建问题，建立了图像处理算法评估体系，加快了偏振相机小型化、轻量化进程。