Vignetting Correction Method of Image Based on Gaussian Quadrics Fitting

HE Kai; TANG Ping-fan; WANG Cheng-you

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Vignetting Correction Method of Image Based on Gaussian Quadrics Fitting

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- Vignetting Correction Method of Image Based on Gaussian Quadrics Fitting
- Acta Electronica Sinica Vol. 37, Issue 1, Pages: 67-71(2009)
- 作者机构：
  
  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
  3. 天津大学电子信息工程学院天津,300072
  4. 电子科技大学应用数学学院四川成都,610054
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN216
- Published：2009
- 稿件说明：
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HE Kai, TANG Ping-fan, WANG Cheng-you. Vignetting Correction Method of Image Based on Gaussian Quadrics Fitting[J]. Acta Electronica Sinica, 2009, 37(1): 67-71.
DOI：

HE Kai, TANG Ping-fan, WANG Cheng-you. Vignetting Correction Method of Image Based on Gaussian Quadrics Fitting[J]. Acta Electronica Sinica, 2009, 37(1): 67-71. DOI：

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.

Abstract

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 vignetting 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.

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