基于高斯曲面拟合的影像渐晕复原方法  

Vignetting Correction Method of Image Based on Gaussian Quadrics Fitting

作　　者：何凯[1] 唐平凡[2] 王成优[1] 

机构地区：[1]天津大学电子信息工程学院,天津300072 [2]电子科技大学应用数学学院,四川成都610054

出　　处：《电子学报》2009年第1期67-71,共5页Acta Electronica Sinica

基　　金：教育部博士点新教师基金(No.20070056104);天津市自然科学基金(No.07JCYBJC13800)

摘　　要：本文根据影像发生渐晕时灰度分布的特点,提出了一种基于最速下降法的高斯曲面拟合方法,推导了Hesse矩阵的相关参数,较好地解决了不规则高斯曲面拟合的问题,获得了影像整体灰度变化情况,从而实现了影像渐晕现象的复原.仿真结果表明,上述方法能够有效估计出不规则高斯曲面(如渐晕图像灰度值)的相关参数.通过对实际影像的处理结果表明,本文方法能够有效去除影像的渐晕现象,改善图像质量.由于该方法不需要相关的光学和几何参数,因此具有广泛的适用性.According to the gray distribution character of vignetting image, the method of Gaussian quadrics fitting based on steepest descent method is introduced in this paper. Parameters of Hesse matrix are also deduced at the same time, and then the problem of irregular Gaussian quadrics fitting is solved. By this method, the whole gray change of image is achieved, so the vignetting phenomenon is corrected. The simulation result illuminated that the parameters of irregular Gaussian quadrics, such as vignetting image gray level, can be estimated effectively by this method. The actual processing result shows the vigneuing phenomenon can be removed effectively, and consequently the quality of image is improved. Since no relative optical and geometrical parameters are needed, this method can be widely used in projects.

关 键 词：渐晕 高斯曲面拟合 最速下降法 HESSE矩阵 灰度补偿算法 

分 类 号：TN216[电子电信—物理电子学]